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Publication Number: FHWA-HRT-05-138
Date: July 2006

Shared-Use Path Level of Service Calculator

Active Child Bicyclist

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 7.77 vph   K=   0.983544304 vpm      
MU 7.90 mph   N=   3 veh      
SIGMA 1.90 mph                
U= 12.8 mph                
X= 3 miles   ACTIVE PASSINGS TOTALS= 1.13   PER HOUR= 4.82
BETA 1 (<= 1.0) STANDARD DEVIATION= 1.06     1
        DETERMINISTIC (FOR MU <<<< U)= 1.13      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99504488 0.994713 0.99487908 0.009785077        
2 0.02 12.71 0.994713287 0.994362 0.9945377 0.009781719        
3 0.03 12.67 0.994362107 0.99399 0.99417623 0.009778164        
4 0.04 12.63 0.993990363 0.993597 0.99379371 0.009774401        
5 0.05 12.59 0.993597052 0.993181 0.99338909 0.009770422        
6 0.06 12.54 0.99318113 0.992742 0.99296133 0.009766215        
7 0.07 12.50 0.992741521 0.992277 0.99250932 0.009761769        
8 0.08 12.46 0.992277109 0.991787 0.99203193 0.009757073        
9 0.09 12.42 0.991786743 0.991269 0.99152799 0.009752117        
10 0.1 12.37 0.991269232 0.990723 0.99099629 0.009746888        
11 0.11 12.33 0.990723349 0.990148 0.99043559 0.009741373        
12 0.12 12.29 0.99014783 0.989541 0.9898446 0.00973556        
13 0.13 12.25 0.989541372 0.988903 0.989222 0.009729437        
14 0.14 12.20 0.988902632 0.98823 0.98856643 0.009722989        
15 0.15 12.16 0.988230232 0.987523 0.98787649 0.009716203        
16 0.16 12.12 0.987522756 0.986779 0.98715075 0.009709065        
17 0.17 12.07 0.986778748 0.985997 0.98638773 0.00970156        
18 0.18 12.03 0.985996716 0.985175 0.98558592 0.009693674        
19 0.19 11.99 0.985175132 0.984312 0.98474378 0.009685391        
20 0.2 11.95 0.98431243 0.983407 0.98385972 0.009676696        
21 0.21 11.90 0.983407009 0.982457 0.98293212 0.009667573        
22 0.22 11.86 0.982457234 0.981461 0.98195933 0.009658005        
23 0.23 11.82 0.981461433 0.980418 0.98093967 0.009647976        
24 0.24 11.78 0.980417902 0.979325 0.9798714 0.009637469        
25 0.25 11.73 0.979324905 0.978181 0.97875279 0.009626467        
26 0.26 11.69 0.978180675 0.976983 0.97758204 0.009614953        
27 0.27 11.65 0.976983413 0.975731 0.97635735 0.009602907        
28 0.28 11.61 0.975731294 0.974422 0.97507688 0.009590313        
29 0.29 11.56 0.974422464 0.973055 0.97373875 0.009577152        
30 0.3 11.52 0.973055044 0.971627 0.97234109 0.009563405        
31 0.31 11.48 0.971627131 0.970137 0.97088197 0.009549054        
32 0.32 11.43 0.970136803 0.968582 0.96935946 0.00953408        
33 0.33 11.39 0.968582113 0.966961 0.96777161 0.009518463        
34 0.34 11.35 0.966961101 0.965272 0.96611645 0.009502183        
35 0.35 11.31 0.965271789 0.963512 0.96439199 0.009485222        
36 0.36 11.26 0.963512188 0.96168 0.96259624 0.009467561        
37 0.37 11.22 0.961680296 0.959774 0.9607272 0.009449178        
38 0.38 11.18 0.959774105 0.957792 0.95878285 0.009430054        
39 0.39 11.14 0.957791601 0.955731 0.95676119 0.00941017        
40 0.4 11.09 0.95573077 0.95359 0.95466018 0.009389506        
41 0.41 11.05 0.953589596 0.951366 0.95247783 0.009368041        
42 0.42 11.01 0.951366069 0.949058 0.95021213 0.009345757        
43 0.43 10.97 0.949058185 0.946664 0.94786107 0.009322634        
44 0.44 10.92 0.946663952 0.944181 0.94542267 0.009298651        
45 0.45 10.88 0.944181391 0.941609 0.94289497 0.00927379        
46 0.46 10.84 0.941608542 0.938943 0.940276 0.009248031        
47 0.47 10.79 0.938943465 0.936184 0.93756386 0.009221356        
48 0.48 10.75 0.936184245 0.933329 0.93475662 0.009193746        
49 0.49 10.71 0.933328998 0.930376 0.93185243 0.009165182        
50 0.5 10.67 0.930375871 0.927323 0.92884946 0.009135646        
51 0.51 10.62 0.927323048 0.924169 0.9257459 0.009105121        
52 0.52 10.58 0.924168755 0.920911 0.92254001 0.00907359        
53 0.53 10.54 0.920911262 0.917549 0.91923008 0.009041035        
54 0.54 10.50 0.917548889 0.91408 0.91581445 0.009007441        
55 0.55 10.45 0.914080008 0.910503 0.91229153 0.008972791        
56 0.56 10.41 0.910503051 0.906817 0.90865978 0.008937072        
57 0.57 10.37 0.906816508 0.903019 0.90491772 0.008900267        
58 0.58 10.33 0.903018939 0.899109 0.90106396 0.008862363        
59 0.59 10.28 0.899108971 0.895085 0.89709714 0.008823348        
60 0.6 10.24 0.895085308 0.890947 0.89301602 0.008783208        
61 0.61 10.20 0.890946731 0.886692 0.88881942 0.008741933        
62 0.62 10.15 0.886692103 0.88232 0.88450624 0.008699511        
63 0.63 10.11 0.882320376 0.877831 0.88007548 0.008655932        
64 0.64 10.07 0.877830591 0.873222 0.87552624 0.008611188        
65 0.65 10.03 0.873221885 0.868493 0.87085769 0.008565271        
66 0.66 9.98 0.868493492 0.863645 0.86606912 0.008518174        
67 0.67 9.94 0.86364475 0.858675 0.86115993 0.008469889        
68 0.68 9.90 0.858675102 0.853584 0.8561296 0.008420414        
69 0.69 9.86 0.853584101 0.848371 0.85097776 0.008369743        
70 0.7 9.81 0.848371413 0.843037 0.84570412 0.008317875        
71 0.71 9.77 0.84303682 0.83758 0.84030852 0.008264807        
72 0.72 9.73 0.837580222 0.832002 0.83479093 0.008210539        
73 0.73 9.69 0.832001644 0.826301 0.82915144 0.008155072        
74 0.74 9.64 0.826301233 0.820479 0.82339025 0.008098408        
75 0.75 9.60 0.820479265 0.814536 0.81750771 0.00804055        
76 0.76 9.56 0.814536146 0.808472 0.81150428 0.007981504        
77 0.77 9.51 0.808472412 0.802289 0.80538057 0.007921275        
78 0.78 9.47 0.802288735 0.795986 0.79913733 0.00785987        
79 0.79 9.43 0.795985921 0.789565 0.79277542 0.007797297        
80 0.8 9.39 0.789564913 0.783027 0.78629585 0.007733568        
81 0.81 9.34 0.783026792 0.776373 0.77969979 0.007668693        
82 0.82 9.30 0.776372779 0.769604 0.77298851 0.007602684        
83 0.83 9.26 0.769604233 0.762723 0.76616344 0.007535557        
84 0.84 9.22 0.762722653 0.75573 0.75922617 0.007467326        
85 0.85 9.17 0.75572968 0.748627 0.75217839 0.007398008        
86 0.86 9.13 0.748627091 0.741417 0.74502195 0.007327621        
87 0.87 9.09 0.741416807 0.734101 0.73775884 0.007256185        
88 0.88 9.05 0.734100883 0.726682 0.7303912 0.007183721        
89 0.89 9.00 0.726681515 0.719161 0.72292127 0.007110251        
90 0.9 8.96 0.719161033 0.711542 0.71535147 0.007035799        
91 0.91 8.92 0.711541903 0.703827 0.70768431 0.006960389        
92 0.92 8.87 0.703826721 0.696018 0.69992247 0.006884048        
93 0.93 8.83 0.696018217 0.688119 0.69206873 0.006806803        
94 0.94 8.79 0.688119245 0.680133 0.68412601 0.006728682        
95 0.95 8.75 0.680132785 0.672062 0.67609736 0.006649717        
96 0.96 8.70 0.672061941 0.66391 0.66798594 0.006569938        
97 0.97 8.66 0.663909933 0.65568 0.65979501 0.006489376        
98 0.98 8.62 0.655680096 0.647376 0.65152799 0.006408066        
99 0.99 8.58 0.647375875 0.639001 0.64318835 0.006326042        
100 1 8.53 0.639000824 0.630559 0.63477971 0.00624334        
101 1.01 8.49 0.630558596 0.622053 0.62630577 0.006159995        
102 1.02 8.45 0.622052943 0.613488 0.61777033 0.006076045        
103 1.03 8.41 0.613487709 0.604867 0.60917727 0.005991528        
104 1.04 8.36 0.604866826 0.596194 0.60053057 0.005906484        
105 1.05 8.32 0.596194306 0.587474 0.59183427 0.005820952        
106 1.06 8.28 0.587474237 0.578711 0.58309251 0.005734973        
107 1.07 8.23 0.57871078 0.569908 0.57430947 0.005648588        
108 1.08 8.19 0.569908156 0.561071 0.5654894 0.005561839        
109 1.09 8.15 0.561070648 0.552203 0.55663662 0.005474768        
110 1.1 8.11 0.55220259 0.543308 0.54775547 0.005387418        
111 1.11 8.06 0.543308358 0.534392 0.53885037 0.005299832        
112 1.12 8.02 0.534392372 0.525459 0.52992573 0.005212054        
113 1.13 7.98 0.525459079 0.516513 0.52098602 0.005124128        
114 1.14 7.94 0.516512955 0.507558 0.51203572 0.005036098        
115 1.15 7.89 0.507558493 0.4986 0.50307934 0.004948008        
116 1.16 7.85 0.498600197 0.489643 0.49412141 0.004859903        
117 1.17 7.81 0.489642614 0.48069 0.48516644 0.004771827        
118 1.18 7.77 0.480690274 0.471748 0.47621898 0.004683825        
119 1.19 7.72 0.471747678 0.462819 0.4672835 0.00459594        
120 1.2 7.68 0.462819314 0.45391 0.45836448 0.004508218        
121 1.21 7.64 0.453909649 0.445023 0.44946639 0.004420701        
122 1.22 7.59 0.445023124 0.436164 0.44059363 0.004333434        
123 1.23 7.55 0.436164144 0.427337 0.43175061 0.004246459        
124 1.24 7.51 0.427337074 0.418546 0.42294165 0.004159819        
125 1.25 7.47 0.418546233 0.409796 0.41417106 0.004073556        
126 1.26 7.42 0.409795884 0.40109 0.40544306 0.003987712        
127 1.27 7.38 0.40109023 0.392433 0.39676182 0.003902328        
128 1.28 7.34 0.392433411 0.383829 0.38813145 0.003817445        
129 1.29 7.30 0.383829491 0.375282 0.37955597 0.003733101        
130 1.3 7.25 0.375282458 0.366796 0.37103934 0.003649336        
131 1.31 7.21 0.366796217 0.358375 0.3625854 0.003566188        
132 1.32 7.17 0.358374583 0.350021 0.35419793 0.003483694        
133 1.33 7.13 0.350021278 0.34174 0.3458806 0.003401889        
134 1.34 7.08 0.341739926 0.333534 0.33763699 0.003320809        
135 1.35 7.04 0.333534045 0.325407 0.32947055 0.003240489        
136 1.36 7.00 0.325407047 0.317362 0.32138464 0.00316096        
137 1.37 6.95 0.317362233 0.309403 0.31338251 0.003082256        
138 1.38 6.91 0.309402786 0.301532 0.30546728 0.003004406        
139 1.39 6.87 0.301531771 0.293752 0.29764195 0.00292744        
140 1.4 6.83 0.293752129 0.286067 0.2899094 0.002851387        
141 1.41 6.78 0.286066676 0.278478 0.28227239 0.002776274        
142 1.42 6.74 0.278478101 0.270989 0.27473353 0.002702126        
143 1.43 6.70 0.270988959 0.263602 0.26729532 0.002628968        
144 1.44 6.66 0.263601673 0.256319 0.2599601 0.002556823        
145 1.45 6.61 0.256318532 0.249142 0.25273011 0.002485713        
146 1.46 6.57 0.249141688 0.242073 0.24560742 0.002415658        
147 1.47 6.53 0.242073155 0.235115 0.23859398 0.002346678        
148 1.48 6.49 0.235114807 0.228268 0.23169159 0.002278789        
149 1.49 6.44 0.228268381 0.221535 0.22490193 0.00221201        
150 1.5 6.40 0.221535472 0.214918 0.2182265 0.002146354        
151 1.51 6.36 0.214917535 0.208416 0.21166671 0.002081836        
152 1.52 6.31 0.208415888 0.202032 0.2052238 0.002018467        
153 1.53 6.27 0.202031706 0.195766 0.19889887 0.001956258        
154 1.54 6.23 0.195766027 0.18962 0.19269289 0.00189522        
155 1.55 6.19 0.189619752 0.183594 0.1866067 0.00183536        
156 1.56 6.14 0.183593645 0.177688 0.18064099 0.001776684        
157 1.57 6.10 0.177688334 0.171904 0.17479632 0.001719199        
158 1.58 6.06 0.171904315 0.166242 0.16907313 0.001662909        
159 1.59 6.02 0.166241953 0.160701 0.16347172 0.001607817        
160 1.6 5.97 0.160701484 0.155283 0.15799225 0.001553924        
161 1.61 5.93 0.155283016 0.149987 0.15263478 0.001501231        
162 1.62 5.89 0.149986534 0.144812 0.14739922 0.001449737        
163 1.63 5.85 0.144811903 0.139759 0.14228538 0.00139944        
164 1.64 5.80 0.139758866 0.134827 0.13729296 0.001350337        
165 1.65 5.76 0.134827054 0.130016 0.13242152 0.001302424        
166 1.66 5.72 0.130015986 0.125325 0.12767053 0.001255696        
167 1.67 5.67 0.125325071 0.120754 0.12303934 0.001210146        
168 1.68 5.63 0.120753615 0.116301 0.11852722 0.001165768        
169 1.69 5.59 0.11630082 0.111966 0.11413331 0.001122552        
170 1.7 5.55 0.111965794 0.107748 0.10985667 0.001080489        
171 1.71 5.50 0.107747549 0.103645 0.10569628 0.00103957        
172 1.72 5.46 0.103645008 0.099657 0.10165101 0.000999783        
173 1.73 5.42 0.09965701 0.095782 0.09771966 0.000961116        
174 1.74 5.38 0.09578231 0.09202 0.09390095 0.000923557        
175 1.75 5.33 0.092019587 0.088367 0.09019352 0.000887093        
176 1.76 5.29 0.088367448 0.084824 0.08659594 0.000851709        
177 1.77 5.25 0.084824429 0.081389 0.08310672 0.000817391        
178 1.78 5.21 0.081389003 0.07806 0.07972429 0.000784124        
179 1.79 5.16 0.078059583 0.074835 0.07644705 0.000751891        
180 1.8 5.12 0.074834523 0.071712 0.07327332 0.000720676        
181 1.81 5.08 0.071712127 0.068691 0.07020139 0.000690462        
182 1.82 5.03 0.068690652 0.065768 0.06722948 0.000661232        
183 1.83 4.99 0.065768309 0.062943 0.06435579 0.000632968        
184 1.84 4.95 0.062943271 0.060214 0.06157847 0.000605652        
185 1.85 4.91 0.060213675 0.057578 0.05889565 0.000579265        
186 1.86 4.86 0.057577626 0.055033 0.05630541 0.000553789        
187 1.87 4.82 0.055033201 0.052578 0.05380583 0.000529204        
188 1.88 4.78 0.052578454 0.050211 0.05139494 0.000505492        
189 1.89 4.74 0.050211419 0.04793 0.04907077 0.000482633        
190 1.9 4.69 0.047930111 0.045733 0.04683132 0.000460607        
191 1.91 4.65 0.045732535 0.043617 0.04467461 0.000439395        
192 1.92 4.61 0.043616684 0.041581 0.04259862 0.000418976        
193 1.93 4.57 0.041580547 0.039622 0.04060133 0.000399332        
194 1.94 4.52 0.039622108 0.037739 0.03868073 0.000380442        
195 1.95 4.48 0.037739351 0.03593 0.03683481 0.000362287        
196 1.96 4.44 0.035930266 0.034193 0.03506155 0.000344846        
197 1.97 4.39 0.034192844 0.032525 0.03335897 0.0003281        
198 1.98 4.35 0.032525089 0.030925 0.03172505 0.00031203        
199 1.99 4.31 0.030925015 0.029391 0.03015783 0.000296616        
200 2 4.27 0.029390648 0.02792 0.02865534 0.000281838        
201 2.01 4.22 0.027920032 0.026511 0.02721563 0.000267678        
202 2.02 4.18 0.026511229 0.025162 0.02583678 0.000254116        
203 2.03 4.14 0.025162322 0.023871 0.02451687 0.000241134        
204 2.04 4.10 0.023871414 0.022637 0.02325403 0.000228714        
205 2.05 4.05 0.022636636 0.021456 0.02204639 0.000216836        
206 2.06 4.01 0.021456141 0.020328 0.02089213 0.000205483        
207 2.07 3.97 0.020328113 0.019251 0.01978944 0.000194638        
208 2.08 3.93 0.019250763 0.018222 0.01873655 0.000184282        
209 2.09 3.88 0.018222333 0.017241 0.01773171 0.000174399        
210 2.1 3.84 0.017241096 0.016305 0.01677323 0.000164972        
211 2.11 3.80 0.01630536 0.015413 0.01585941 0.000155984        
212 2.12 3.75 0.015413463 0.014564 0.01498862 0.00014742        
213 2.13 3.71 0.014563781 0.013755 0.01415925 0.000139263        
214 2.14 3.67 0.013754723 0.012985 0.01336973 0.000131497        
215 2.15 3.63 0.012984736 0.012252 0.01261852 0.000124109        
216 2.16 3.58 0.012252303 0.011556 0.01190412 0.000117082        
217 2.17 3.54 0.011555942 0.010894 0.01122508 0.000110404        
218 2.18 3.50 0.010894211 0.010266 0.01057996 0.000104059        
219 2.19 3.46 0.010265706 0.009669 0.00996738 9.80336E-05        
220 2.2 3.41 0.009669058 0.009103 0.009386 9.23155E-05        
221 2.21 3.37 0.009102939 0.008566 0.0088345 8.68912E-05        
222 2.22 3.33 0.008566057 0.008057 0.00831161 8.17483E-05        
223 2.23 3.29 0.008057159 0.007575 0.00781609 7.68747E-05        
224 2.24 3.24 0.007575029 0.007118 0.00734676 7.22586E-05        
225 2.25 3.20 0.00711849 0.006686 0.00690245 6.78886E-05        
226 2.26 3.16 0.006686401 0.006278 0.00648203 6.37536E-05        
227 2.27 3.11 0.006277659 0.005891 0.00608443 5.98431E-05        
228 2.28 3.07 0.005891198 0.005526 0.00570859 5.61465E-05        
229 2.29 3.03 0.005525987 0.005181 0.00535351 5.26541E-05        
230 2.3 2.99 0.005181031 0.004855 0.0050182 4.93562E-05        
231 2.31 2.94 0.004855372 0.004548 0.00470173 4.62436E-05        
232 2.32 2.90 0.004548085 0.004258 0.00440318 4.33072E-05        
233 2.33 2.86 0.004258279 0.003985 0.00412169 4.05386E-05        
234 2.34 2.82 0.003985099 0.003728 0.00385641 3.79295E-05        
235 2.35 2.77 0.003727719 0.003485 0.00360653 3.54719E-05        
236 2.36 2.73 0.003485349 0.003257 0.00337129 3.31581E-05        
237 2.37 2.69 0.003257227 0.003043 0.00314993 3.09809E-05        
238 2.38 2.65 0.003042625 0.002841 0.00294173 2.89333E-05        
239 2.39 2.60 0.002840844 0.002651 0.00274603 2.70084E-05        
240 2.4 2.56 0.002651212 0.002473 0.00256215 2.51999E-05        
241 2.41 2.52 0.002473088 0.002306 0.00238947 2.35015E-05        
242 2.42 2.47 0.002305859 0.002149 0.0022274 2.19074E-05        
243 2.43 2.43 0.002148936 0.002002 0.00207535 2.0412E-05        
244 2.44 2.39 0.002001759 0.001864 0.00193278 1.90097E-05        
245 2.45 2.35 0.001863793 0.001735 0.00179916 1.76955E-05        
246 2.46 2.30 0.001734525 0.001613 0.001674 1.64645E-05        
247 2.47 2.26 0.001613469 0.0015 0.00155681 1.5312E-05        
248 2.48 2.22 0.00150016 0.001394 0.00144716 1.42334E-05        
249 2.49 2.18 0.001394155 0.001295 0.0013446 1.32247E-05        
250 2.5 2.13 0.001295035 0.001202 0.00124872 1.22817E-05        
251 2.51 2.09 0.001202398 0.001116 0.00115913 1.14006E-05        
252 2.52 2.05 0.001115864 0.001035 0.00107547 1.05777E-05        
253 2.53 2.01 0.001035071 0.00096 0.00099737 9.80962E-06        
254 2.54 1.96 0.000959678 0.000889 0.00092452 9.09304E-06        
255 2.55 1.92 0.000889358 0.000824 0.00085658 8.42485E-06        
256 2.56 1.88 0.000823803 0.000763 0.00079326 7.80208E-06        
257 2.57 1.83 0.000762721 0.000706 0.00073428 7.22195E-06        
258 2.58 1.79 0.000705835 0.000653 0.00067936 6.6818E-06        
259 2.59 1.75 0.000652884 0.000604 0.00062825 6.17914E-06        
260 2.6 1.71 0.000603621 0.000558 0.00058072 5.7116E-06        
261 2.61 1.66 0.000557811 0.000515 0.00053652 5.27694E-06        
262 2.62 1.62 0.000515235 0.000476 0.00049546 4.87306E-06        
263 2.63 1.58 0.000475684 0.000439 0.00045732 4.49797E-06        
264 2.64 1.54 0.000438961 0.000405 0.00042192 4.14978E-06        
265 2.65 1.49 0.000404881 0.000373 0.00038908 3.82674E-06        
266 2.66 1.45 0.000373271 0.000344 0.00035862 3.52717E-06        
267 2.67 1.41 0.000343965 0.000317 0.00033039 3.24951E-06        
268 2.68 1.37 0.00031681 0.000292 0.00030424 2.99229E-06        
269 2.69 1.32 0.000291661 0.000268 0.00028002 2.75413E-06        
270 2.7 1.28 0.00026838 0.000247 0.00025761 2.53372E-06        
271 2.71 1.24 0.000246841 0.000227 0.00023688 2.32984E-06        
272 2.72 1.19 0.000226922 0.000209 0.00021772 2.14134E-06        
273 2.73 1.15 0.000208512 0.000192 0.00020001 1.96717E-06        
274 2.74 1.11 0.000191504 0.000176 0.00018365 1.8063E-06        
275 2.75 1.07 0.0001758 0.000161 0.00016855 1.6578E-06        
276 2.76 1.02 0.000161307 0.000148 0.00015462 1.52078E-06        
277 2.77 0.98 0.000147938 0.000136 0.00014177 1.39442E-06        
278 2.78 0.94 0.000135612 0.000124 0.00012993 1.27795E-06        
279 2.79 0.90 0.000124254 0.000114 0.00011902 1.17065E-06        
280 2.8 0.85 0.000113793 0.000104 0.00010898 1.07185E-06        
281 2.81 0.81 0.000104163 9.53E-05 9.9733E-05 9.80919E-07        
282 2.82 0.77 9.53028E-05 8.72E-05 9.1229E-05 8.97273E-07        
283 2.83 0.73 8.71543E-05 7.97E-05 8.3409E-05 8.20368E-07        
284 2.84 0.68 7.96644E-05 7.28E-05 7.6224E-05 7.49696E-07        
285 2.85 0.64 7.27834E-05 6.65E-05 6.9624E-05 6.84784E-07        
286 2.86 0.60 6.64649E-05 6.07E-05 6.3565E-05 6.25193E-07        
287 2.87 0.55 6.06658E-05 5.53E-05 5.8006E-05 5.70515E-07        
288 2.88 0.51 5.53463E-05 5.05E-05 5.2908E-05 5.2037E-07        
289 2.89 0.47 5.0469E-05 4.6E-05 4.8234E-05 4.74405E-07        
290 2.9 0.43 4.59994E-05 4.19E-05 4.3953E-05 4.32292E-07        
291 2.91 0.38 4.19056E-05 3.82E-05 4.0032E-05 3.93729E-07        
292 2.92 0.34 3.81578E-05 3.47E-05 3.6443E-05 3.58434E-07        
293 2.93 0.30 3.47285E-05 3.16E-05 3.316E-05 3.26147E-07        
294 2.94 0.26 3.15922E-05 2.87E-05 3.0159E-05 2.96625E-07        
295 2.95 0.21 2.87254E-05 2.61E-05 2.7416E-05 2.69646E-07        
296 2.96 0.17 2.61061E-05 2.37E-05 2.491E-05 2.45003E-07        
297 2.97 0.13 2.37143E-05 2.15E-05 2.2623E-05 2.22505E-07        
298 2.98 0.09 2.15313E-05 1.95E-05 2.0536E-05 2.01976E-07        
299 2.99 0.04 1.95398E-05 1.77E-05 1.8632E-05 1.83253E-07        
300 3 0.00 1.7724E-05 1.61E-05 1.6897E-05 1.66185E-07        
        SUM   1.130223397        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 7.35 vph   K=   0.930379747 vpm      
MU 7.90 mph   N=   3 veh      
SIGMA 1.90 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 1.07   PER HOUR= 4.56
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 1.03     2
        DETERMINISTIC (FOR MU <<<< U)= 1.07      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99504488 0.994713 0.99487908 0.009256153        
2 0.02 12.71 0.99471329 0.994362 0.9945377 0.009252977        
3 0.03 12.67 0.99436211 0.99399 0.99417623 0.009249614        
4 0.04 12.63 0.99399036 0.993597 0.99379371 0.009246055        
5 0.05 12.59 0.99359705 0.993181 0.99338909 0.009242291        
6 0.06 12.54 0.99318113 0.992742 0.99296133 0.009238311        
7 0.07 12.50 0.99274152 0.992277 0.99250932 0.009234106        
8 0.08 12.46 0.99227711 0.991787 0.99203193 0.009229664        
9 0.09 12.42 0.99178674 0.991269 0.99152799 0.009224976        
10 0.10 12.37 0.99126923 0.990723 0.99099629 0.009220029        
11 0.11 12.33 0.99072335 0.990148 0.99043559 0.009214812        
12 0.12 12.29 0.99014783 0.989541 0.9898446 0.009209314        
13 0.13 12.25 0.98954137 0.988903 0.989222 0.009203521        
14 0.14 12.20 0.98890263 0.98823 0.98856643 0.009197422        
15 0.15 12.16 0.98823023 0.987523 0.98787649 0.009191003        
16 0.16 12.12 0.98752276 0.986779 0.98715075 0.009184251        
17 0.17 12.07 0.98677875 0.985997 0.98638773 0.009177152        
18 0.18 12.03 0.98599672 0.985175 0.98558592 0.009169692        
19 0.19 11.99 0.98517513 0.984312 0.98474378 0.009161857        
20 0.20 11.95 0.98431243 0.983407 0.98385972 0.009153632        
21 0.21 11.90 0.98340701 0.982457 0.98293212 0.009145001        
22 0.22 11.86 0.98245723 0.981461 0.98195933 0.009135951        
23 0.23 11.82 0.98146143 0.980418 0.98093967 0.009126464        
24 0.24 11.78 0.98041790 0.979325 0.9798714 0.009116525        
25 0.25 11.73 0.97932491 0.978181 0.97875279 0.009106118        
26 0.26 11.69 0.97818067 0.976983 0.97758204 0.009095225        
27 0.27 11.65 0.97698341 0.975731 0.97635735 0.009083831        
28 0.28 11.61 0.97573129 0.974422 0.97507688 0.009071918        
29 0.29 11.56 0.97442246 0.973055 0.97373875 0.009059468        
30 0.30 11.52 0.97305504 0.971627 0.97234109 0.009046465        
31 0.31 11.48 0.97162713 0.970137 0.97088197 0.009032889        
32 0.32 11.43 0.97013680 0.968582 0.96935946 0.009018724        
33 0.33 11.39 0.96858211 0.966961 0.96777161 0.009003951        
34 0.34 11.35 0.96696110 0.965272 0.96611645 0.008988552        
35 0.35 11.31 0.96527179 0.963512 0.96439199 0.008972508        
36 0.36 11.26 0.96351219 0.96168 0.96259624 0.0089558        
37 0.37 11.22 0.96168030 0.959774 0.9607272 0.008938411        
38 0.38 11.18 0.95977410 0.957792 0.95878285 0.008920321        
39 0.39 11.14 0.95779160 0.955731 0.95676119 0.008901512        
40 0.40 11.09 0.95573077 0.95359 0.95466018 0.008881965        
41 0.41 11.05 0.95358960 0.951366 0.95247783 0.008861661        
42 0.42 11.01 0.95136607 0.949058 0.95021213 0.008840581        
43 0.43 10.97 0.94905819 0.946664 0.94786107 0.008818707        
44 0.44 10.92 0.94666395 0.944181 0.94542267 0.008796021        
45 0.45 10.88 0.94418139 0.941609 0.94289497 0.008772504        
46 0.46 10.84 0.94160854 0.938943 0.940276 0.008748138        
47 0.47 10.79 0.93894346 0.936184 0.93756386 0.008722904        
48 0.48 10.75 0.93618425 0.933329 0.93475662 0.008696786        
49 0.49 10.71 0.93332900 0.930376 0.93185243 0.008669766        
50 0.50 10.67 0.93037587 0.927323 0.92884946 0.008641827        
51 0.51 10.62 0.92732305 0.924169 0.9257459 0.008612952        
52 0.52 10.58 0.92416876 0.920911 0.92254001 0.008583125        
53 0.53 10.54 0.92091126 0.917549 0.91923008 0.00855233        
54 0.54 10.50 0.91754889 0.91408 0.91581445 0.008520552        
55 0.55 10.45 0.91408001 0.910503 0.91229153 0.008487776        
56 0.56 10.41 0.91050305 0.906817 0.90865978 0.008453987        
57 0.57 10.37 0.90681651 0.903019 0.90491772 0.008419171        
58 0.58 10.33 0.90301894 0.899109 0.90106396 0.008383317        
59 0.59 10.28 0.89910897 0.895085 0.89709714 0.00834641        
60 0.60 10.24 0.89508531 0.890947 0.89301602 0.00830844        
61 0.61 10.20 0.89094673 0.886692 0.88881942 0.008269396        
62 0.62 10.15 0.88669210 0.88232 0.88450624 0.008229267        
63 0.63 10.11 0.88232038 0.877831 0.88007548 0.008188044        
64 0.64 10.07 0.87783059 0.873222 0.87552624 0.008145719        
65 0.65 10.03 0.87322188 0.868493 0.87085769 0.008102284        
66 0.66 9.98 0.86849349 0.863645 0.86606912 0.008057732        
67 0.67 9.94 0.86364475 0.858675 0.86115993 0.008012058        
68 0.68 9.90 0.85867510 0.853584 0.8561296 0.007965256        
69 0.69 9.86 0.85358410 0.848371 0.85097776 0.007917325        
70 0.70 9.81 0.84837141 0.843037 0.84570412 0.00786826        
71 0.71 9.77 0.84303682 0.83758 0.84030852 0.00781806        
72 0.72 9.73 0.83758022 0.832002 0.83479093 0.007766726        
73 0.73 9.69 0.83200164 0.826301 0.82915144 0.007714257        
74 0.74 9.64 0.82630123 0.820479 0.82339025 0.007660656        
75 0.75 9.60 0.82047927 0.814536 0.81750771 0.007605926        
76 0.76 9.56 0.81453615 0.808472 0.81150428 0.007550071        
77 0.77 9.51 0.80847241 0.802289 0.80538057 0.007493098        
78 0.78 9.47 0.80228874 0.795986 0.79913733 0.007435012        
79 0.79 9.43 0.79598592 0.789565 0.79277542 0.007375822        
80 0.80 9.39 0.78956491 0.783027 0.78629585 0.007315537        
81 0.81 9.34 0.78302679 0.776373 0.77969979 0.007254169        
82 0.82 9.30 0.77637278 0.769604 0.77298851 0.007191729        
83 0.83 9.26 0.76960423 0.762723 0.76616344 0.00712823        
84 0.84 9.22 0.76272265 0.75573 0.75922617 0.007063686        
85 0.85 9.17 0.75572968 0.748627 0.75217839 0.006998115        
86 0.86 9.13 0.74862709 0.741417 0.74502195 0.006931533        
87 0.87 9.09 0.74141681 0.734101 0.73775884 0.006863959        
88 0.88 9.05 0.73410088 0.726682 0.7303912 0.006795412        
89 0.89 9.00 0.72668151 0.719161 0.72292127 0.006725913        
90 0.90 8.96 0.71916103 0.711542 0.71535147 0.006655485        
91 0.91 8.92 0.71154190 0.703827 0.70768431 0.006584152        
92 0.92 8.87 0.70382672 0.696018 0.69992247 0.006511937        
93 0.93 8.83 0.69601822 0.688119 0.69206873 0.006438867        
94 0.94 8.79 0.68811924 0.680133 0.68412601 0.00636497        
95 0.95 8.75 0.68013279 0.672062 0.67609736 0.006290273        
96 0.96 8.70 0.67206194 0.66391 0.66798594 0.006214806        
97 0.97 8.66 0.66390993 0.65568 0.65979501 0.006138599        
98 0.98 8.62 0.65568010 0.647376 0.65152799 0.006061684        
99 0.99 8.58 0.64737588 0.639001 0.64318835 0.005984094        
100 1.00 8.53 0.63900082 0.630559 0.63477971 0.005905862        
101 1.01 8.49 0.63055860 0.622053 0.62630577 0.005827022        
102 1.02 8.45 0.62205294 0.613488 0.61777033 0.00574761        
103 1.03 8.41 0.61348771 0.604867 0.60917727 0.005667662        
104 1.04 8.36 0.60486683 0.596194 0.60053057 0.005587215        
105 1.05 8.32 0.59619431 0.587474 0.59183427 0.005506306        
106 1.06 8.28 0.58747424 0.578711 0.58309251 0.005424975        
107 1.07 8.23 0.57871078 0.569908 0.57430947 0.005343259        
108 1.08 8.19 0.56990816 0.561071 0.5654894 0.005261199        
109 1.09 8.15 0.56107065 0.552203 0.55663662 0.005178834        
110 1.10 8.11 0.55220259 0.543308 0.54775547 0.005096206        
111 1.11 8.06 0.54330836 0.534392 0.53885037 0.005013355        
112 1.12 8.02 0.53439237 0.525459 0.52992573 0.004930322        
113 1.13 7.98 0.52545908 0.516513 0.52098602 0.004847148        
114 1.14 7.94 0.51651296 0.507558 0.51203572 0.004763877        
115 1.15 7.89 0.50755849 0.4986 0.50307934 0.004680548        
116 1.16 7.85 0.49860020 0.489643 0.49412141 0.004597205        
117 1.17 7.81 0.48964261 0.48069 0.48516644 0.00451389        
118 1.18 7.77 0.48069027 0.471748 0.47621898 0.004430645        
119 1.19 7.72 0.47174768 0.462819 0.4672835 0.004347511        
120 1.20 7.68 0.46281931 0.45391 0.45836448 0.00426453        
121 1.21 7.64 0.45390965 0.445023 0.44946639 0.004181744        
122 1.22 7.59 0.44502312 0.436164 0.44059363 0.004099194        
123 1.23 7.55 0.43616414 0.427337 0.43175061 0.00401692        
124 1.24 7.51 0.42733707 0.418546 0.42294165 0.003934963        
125 1.25 7.47 0.41854623 0.409796 0.41417106 0.003853364        
126 1.26 7.42 0.40979588 0.40109 0.40544306 0.00377216        
127 1.27 7.38 0.40109023 0.392433 0.39676182 0.003691392        
128 1.28 7.34 0.39243341 0.383829 0.38813145 0.003611096        
129 1.29 7.30 0.38382949 0.375282 0.37955597 0.003531312        
130 1.30 7.25 0.37528246 0.366796 0.37103934 0.003452075        
131 1.31 7.21 0.36679622 0.358375 0.3625854 0.003373421        
132 1.32 7.17 0.35837458 0.350021 0.35419793 0.003295386        
133 1.33 7.13 0.35002128 0.34174 0.3458806 0.003218003        
134 1.34 7.08 0.34173993 0.333534 0.33763699 0.003141306        
135 1.35 7.04 0.33353404 0.325407 0.32947055 0.003065327        
136 1.36 7.00 0.32540705 0.317362 0.32138464 0.002990098        
137 1.37 6.95 0.31736223 0.309403 0.31338251 0.002915647        
138 1.38 6.91 0.30940279 0.301532 0.30546728 0.002842006        
139 1.39 6.87 0.30153177 0.293752 0.29764195 0.0027692        
140 1.40 6.83 0.29375213 0.286067 0.2899094 0.002697258        
141 1.41 6.78 0.28606668 0.278478 0.28227239 0.002626205        
142 1.42 6.74 0.27847810 0.270989 0.27473353 0.002556065        
143 1.43 6.70 0.27098896 0.263602 0.26729532 0.002486861        
144 1.44 6.66 0.26360167 0.256319 0.2599601 0.002418616        
145 1.45 6.61 0.25631853 0.249142 0.25273011 0.00235135        
146 1.46 6.57 0.24914169 0.242073 0.24560742 0.002285082        
147 1.47 6.53 0.24207315 0.235115 0.23859398 0.00221983        
148 1.48 6.49 0.23511481 0.228268 0.23169159 0.002155612        
149 1.49 6.44 0.22826838 0.221535 0.22490193 0.002092442        
150 1.50 6.40 0.22153547 0.214918 0.2182265 0.002030335        
151 1.51 6.36 0.21491754 0.208416 0.21166671 0.001969304        
152 1.52 6.31 0.20841589 0.202032 0.2052238 0.001909361        
153 1.53 6.27 0.20203171 0.195766 0.19889887 0.001850515        
154 1.54 6.23 0.19576603 0.18962 0.19269289 0.001792776        
155 1.55 6.19 0.18961975 0.183594 0.1866067 0.001736151        
156 1.56 6.14 0.18359364 0.177688 0.18064099 0.001680647        
157 1.57 6.10 0.17768833 0.171904 0.17479632 0.00162627        
158 1.58 6.06 0.17190432 0.166242 0.16907313 0.001573022        
159 1.59 6.02 0.16624195 0.160701 0.16347172 0.001520908        
160 1.60 5.97 0.16070148 0.155283 0.15799225 0.001469928        
161 1.61 5.93 0.15528302 0.149987 0.15263478 0.001420083        
162 1.62 5.89 0.14998653 0.144812 0.14739922 0.001371372        
163 1.63 5.85 0.14481190 0.139759 0.14228538 0.001323794        
164 1.64 5.80 0.13975887 0.134827 0.13729296 0.001277346        
165 1.65 5.76 0.13482705 0.130016 0.13242152 0.001232023        
166 1.66 5.72 0.13001599 0.125325 0.12767053 0.001187821        
167 1.67 5.67 0.12532507 0.120754 0.12303934 0.001144733        
168 1.68 5.63 0.12075361 0.116301 0.11852722 0.001102753        
169 1.69 5.59 0.11630082 0.111966 0.11413331 0.001061873        
170 1.70 5.55 0.11196579 0.107748 0.10985667 0.001022084        
171 1.71 5.50 0.10774755 0.103645 0.10569628 0.000983377        
172 1.72 5.46 0.10364501 0.099657 0.10165101 0.00094574        
173 1.73 5.42 0.09965701 0.095782 0.09771966 0.000909164        
174 1.74 5.38 0.09578231 0.09202 0.09390095 0.000873635        
175 1.75 5.33 0.09201959 0.088367 0.09019352 0.000839142        
176 1.76 5.29 0.08836745 0.084824 0.08659594 0.000805671        
177 1.77 5.25 0.08482443 0.081389 0.08310672 0.000773208        
178 1.78 5.21 0.08138900 0.07806 0.07972429 0.000741739        
179 1.79 5.16 0.07805958 0.074835 0.07644705 0.000711248        
180 1.80 5.12 0.07483452 0.071712 0.07327332 0.00068172        
181 1.81 5.08 0.07171213 0.068691 0.07020139 0.00065314        
182 1.82 5.03 0.06869065 0.065768 0.06722948 0.000625489        
183 1.83 4.99 0.06576831 0.062943 0.06435579 0.000598753        
184 1.84 4.95 0.06294327 0.060214 0.06157847 0.000572914        
185 1.85 4.91 0.06021367 0.057578 0.05889565 0.000547953        
186 1.86 4.86 0.05757763 0.055033 0.05630541 0.000523854        
187 1.87 4.82 0.05503320 0.052578 0.05380583 0.000500599        
188 1.88 4.78 0.05257845 0.050211 0.05139494 0.000478168        
189 1.89 4.74 0.05021142 0.04793 0.04907077 0.000456544        
190 1.90 4.69 0.04793011 0.045733 0.04683132 0.000435709        
191 1.91 4.65 0.04573254 0.043617 0.04467461 0.000415644        
192 1.92 4.61 0.04361668 0.041581 0.04259862 0.000396329        
193 1.93 4.57 0.04158055 0.039622 0.04060133 0.000377747        
194 1.94 4.52 0.03962211 0.037739 0.03868073 0.000359878        
195 1.95 4.48 0.03773935 0.03593 0.03683481 0.000342704        
196 1.96 4.44 0.03593027 0.034193 0.03506155 0.000326206        
197 1.97 4.39 0.03419284 0.032525 0.03335897 0.000310365        
198 1.98 4.35 0.03252509 0.030925 0.03172505 0.000295163        
199 1.99 4.31 0.03092501 0.029391 0.03015783 0.000280582        
200 2.00 4.27 0.02939065 0.02792 0.02865534 0.000266603        
201 2.01 4.22 0.02792003 0.026511 0.02721563 0.000253209        
202 2.02 4.18 0.02651123 0.025162 0.02583678 0.00024038        
203 2.03 4.14 0.02516232 0.023871 0.02451687 0.0002281        
204 2.04 4.10 0.02387141 0.022637 0.02325403 0.000216351        
205 2.05 4.05 0.02263664 0.021456 0.02204639 0.000205115        
206 2.06 4.01 0.02145614 0.020328 0.02089213 0.000194376        
207 2.07 3.97 0.02032811 0.019251 0.01978944 0.000184117        
208 2.08 3.93 0.01925076 0.018222 0.01873655 0.000174321        
209 2.09 3.88 0.01822233 0.017241 0.01773171 0.000164972        
210 2.10 3.84 0.01724110 0.016305 0.01677323 0.000156055        
211 2.11 3.80 0.01630536 0.015413 0.01585941 0.000147553        
212 2.12 3.75 0.01541346 0.014564 0.01498862 0.000139451        
213 2.13 3.71 0.01456378 0.013755 0.01415925 0.000131735        
214 2.14 3.67 0.01375472 0.012985 0.01336973 0.000124389        
215 2.15 3.63 0.01298474 0.012252 0.01261852 0.0001174        
216 2.16 3.58 0.01225230 0.011556 0.01190412 0.000110754        
217 2.17 3.54 0.01155594 0.010894 0.01122508 0.000104436        
218 2.18 3.50 0.01089421 0.010266 0.01057996 9.84338E-05        
219 2.19 3.46 0.01026571 0.009669 0.00996738 9.27345E-05        
220 2.20 3.41 0.00966906 0.009103 0.009386 8.73254E-05        
221 2.21 3.37 0.00910294 0.008566 0.0088345 8.21944E-05        
222 2.22 3.33 0.00856606 0.008057 0.00831161 7.73295E-05        
223 2.23 3.29 0.00805716 0.007575 0.00781609 7.27194E-05        
224 2.24 3.24 0.00757503 0.007118 0.00734676 6.83528E-05        
225 2.25 3.20 0.00711849 0.006686 0.00690245 6.4219E-05        
226 2.26 3.16 0.00668640 0.006278 0.00648203 6.03075E-05        
227 2.27 3.11 0.00627766 0.005891 0.00608443 5.66083E-05        
228 2.28 3.07 0.00589120 0.005526 0.00570859 5.31116E-05        
229 2.29 3.03 0.00552599 0.005181 0.00535351 4.9808E-05        
230 2.30 2.99 0.00518103 0.004855 0.0050182 4.66883E-05        
231 2.31 2.94 0.00485537 0.004548 0.00470173 4.37439E-05        
232 2.32 2.90 0.00454808 0.004258 0.00440318 4.09663E-05        
233 2.33 2.86 0.00425828 0.003985 0.00412169 3.83474E-05        
234 2.34 2.82 0.00398510 0.003728 0.00385641 3.58792E-05        
235 2.35 2.77 0.00372772 0.003485 0.00360653 3.35545E-05        
236 2.36 2.73 0.00348535 0.003257 0.00337129 3.13658E-05        
237 2.37 2.69 0.00325723 0.003043 0.00314993 2.93063E-05        
238 2.38 2.65 0.00304263 0.002841 0.00294173 2.73693E-05        
239 2.39 2.60 0.00284084 0.002651 0.00274603 2.55485E-05        
240 2.40 2.56 0.00265121 0.002473 0.00256215 2.38377E-05        
241 2.41 2.52 0.00247309 0.002306 0.00238947 2.22312E-05        
242 2.42 2.47 0.00230586 0.002149 0.0022274 2.07233E-05        
243 2.43 2.43 0.00214894 0.002002 0.00207535 1.93086E-05        
244 2.44 2.39 0.00200176 0.001864 0.00193278 1.79822E-05        
245 2.45 2.35 0.00186379 0.001735 0.00179916 1.6739E-05        
246 2.46 2.30 0.00173452 0.001613 0.001674 1.55745E-05        
247 2.47 2.26 0.00161347 0.0015 0.00155681 1.44843E-05        
248 2.48 2.22 0.00150016 0.001394 0.00144716 1.34641E-05        
249 2.49 2.18 0.00139416 0.001295 0.0013446 1.25098E-05        
250 2.50 2.13 0.00129503 0.001202 0.00124872 1.16178E-05        
251 2.51 2.09 0.00120240 0.001116 0.00115913 1.07843E-05        
252 2.52 2.05 0.00111586 0.001035 0.00107547 1.00059E-05        
253 2.53 2.01 0.00103507 0.00096 0.00099737 9.27937E-06        
254 2.54 1.96 0.00095968 0.000889 0.00092452 8.60153E-06        
255 2.55 1.92 0.00088936 0.000824 0.00085658 7.96945E-06        
256 2.56 1.88 0.00082380 0.000763 0.00079326 7.38035E-06        
257 2.57 1.83 0.00076272 0.000706 0.00073428 6.83157E-06        
258 2.58 1.79 0.00070583 0.000653 0.00067936 6.32062E-06        
259 2.59 1.75 0.00065288 0.000604 0.00062825 5.84513E-06        
260 2.60 1.71 0.00060362 0.000558 0.00058072 5.40287E-06        
261 2.61 1.66 0.00055781 0.000515 0.00053652 4.9917E-06        
262 2.62 1.62 0.00051524 0.000476 0.00049546 4.60965E-06        
263 2.63 1.58 0.00047568 0.000439 0.00045732 4.25483E-06        
264 2.64 1.54 0.00043896 0.000405 0.00042192 3.92547E-06        
265 2.65 1.49 0.00040488 0.000373 0.00038908 3.61989E-06        
266 2.66 1.45 0.00037327 0.000344 0.00035862 3.33651E-06        
267 2.67 1.41 0.00034397 0.000317 0.00033039 3.07386E-06        
268 2.68 1.37 0.00031681 0.000292 0.00030424 2.83055E-06        
269 2.69 1.32 0.00029166 0.000268 0.00028002 2.60526E-06        
270 2.70 1.28 0.00026838 0.000247 0.00025761 2.39676E-06        
271 2.71 1.24 0.00024684 0.000227 0.00023688 2.2039E-06        
272 2.72 1.19 0.00022692 0.000209 0.00021772 2.0256E-06        
273 2.73 1.15 0.00020851 0.000192 0.00020001 1.86083E-06        
274 2.74 1.11 0.00019150 0.000176 0.00018365 1.70866E-06        
275 2.75 1.07 0.00017580 0.000161 0.00016855 1.56819E-06        
276 2.76 1.02 0.00016131 0.000148 0.00015462 1.43857E-06        
277 2.77 0.98 0.00014794 0.000136 0.00014177 1.31905E-06        
278 2.78 0.94 0.00013561 0.000124 0.00012993 1.20887E-06        
279 2.79 0.90 0.00012425 0.000114 0.00011902 1.10737E-06        
280 2.80 0.85 0.00011379 0.000104 0.00010898 1.01391E-06        
281 2.81 0.81 0.00010416 9.53E-05 9.9733E-05 9.27896E-07        
282 2.82 0.77 0.00009530 8.72E-05 9.1229E-05 8.48772E-07        
283 2.83 0.73 0.00008715 7.97E-05 8.3409E-05 7.76023E-07        
284 2.84 0.68 0.00007966 7.28E-05 7.6224E-05 7.09171E-07        
285 2.85 0.64 0.00007278 6.65E-05 6.9624E-05 6.47769E-07        
286 2.86 0.60 0.00006646 6.07E-05 6.3565E-05 5.91399E-07        
287 2.87 0.55 0.00006067 5.53E-05 5.8006E-05 5.39677E-07        
288 2.88 0.51 0.00005535 5.05E-05 5.2908E-05 4.92242E-07        
289 2.89 0.47 0.00005047 4.6E-05 4.8234E-05 4.48761E-07        
290 2.90 0.43 0.00004600 4.19E-05 4.3953E-05 4.08925E-07        
291 2.91 0.38 0.00004191 3.82E-05 4.0032E-05 3.72447E-07        
292 2.92 0.34 0.00003816 3.47E-05 3.6443E-05 3.3906E-07        
293 2.93 0.30 0.00003473 3.16E-05 3.316E-05 3.08517E-07        
294 2.94 0.26 0.00003159 2.87E-05 3.0159E-05 2.80591E-07        
295 2.95 0.21 0.00002873 2.61E-05 2.7416E-05 2.55071E-07        
296 2.96 0.17 0.00002611 2.37E-05 2.491E-05 2.3176E-07        
297 2.97 0.13 0.00002371 2.15E-05 2.2623E-05 2.10478E-07        
298 2.98 0.09 0.00002153 1.95E-05 2.0536E-05 1.91059E-07        
299 2.99 0.04 0.00001954 1.77E-05 1.8632E-05 1.73347E-07        
300 3.00 0.00 0.00001772 1.61E-05 1.6897E-05 1.57202E-07        
        SUM   1.069130241        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 50.00 vph   K=   6.329113924 vpm      
MU 7.90 mph   N=   19 veh      
SIGMA 1.90 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 7.27   PER HOUR= 31.03
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 2.70     3
        DETERMINISTIC (FOR MU <<<< U)= 7.27      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99504488 0.994713 0.99487908 0.06296703        
2 0.02 12.71 0.99471329 0.994362 0.9945377 0.062945424        
3 0.03 12.67 0.99436211 0.99399 0.99417623 0.062922547        
4 0.04 12.63 0.99399036 0.993597 0.99379371 0.062898336        
5 0.05 12.59 0.99359705 0.993181 0.99338909 0.062872727        
6 0.06 12.54 0.99318113 0.992742 0.99296133 0.062845654        
7 0.07 12.50 0.99274152 0.992277 0.99250932 0.062817045        
8 0.08 12.46 0.99227711 0.991787 0.99203193 0.062786831        
9 0.09 12.42 0.99178674 0.991269 0.99152799 0.062754936        
10 0.10 12.37 0.99126923 0.990723 0.99099629 0.062721284        
11 0.11 12.33 0.99072335 0.990148 0.99043559 0.062685797        
12 0.12 12.29 0.99014783 0.989541 0.9898446 0.062648392        
13 0.13 12.25 0.98954137 0.988903 0.989222 0.062608987        
14 0.14 12.20 0.98890263 0.98823 0.98856643 0.062567496        
15 0.15 12.16 0.98823023 0.987523 0.98787649 0.062523829        
16 0.16 12.12 0.98752276 0.986779 0.98715075 0.062477896        
17 0.17 12.07 0.98677875 0.985997 0.98638773 0.062429603        
18 0.18 12.03 0.98599672 0.985175 0.98558592 0.062378856        
19 0.19 11.99 0.98517513 0.984312 0.98474378 0.062325556        
20 0.20 11.95 0.98431243 0.983407 0.98385972 0.062269603        
21 0.21 11.90 0.98340701 0.982457 0.98293212 0.062210894        
22 0.22 11.86 0.98245723 0.981461 0.98195933 0.062149325        
23 0.23 11.82 0.98146143 0.980418 0.98093967 0.062084789        
24 0.24 11.78 0.98041790 0.979325 0.9798714 0.062017177        
25 0.25 11.73 0.97932491 0.978181 0.97875279 0.061946379        
26 0.26 11.69 0.97818067 0.976983 0.97758204 0.061872281        
27 0.27 11.65 0.97698341 0.975731 0.97635735 0.061794769        
28 0.28 11.61 0.97573129 0.974422 0.97507688 0.061713727        
29 0.29 11.56 0.97442246 0.973055 0.97373875 0.061629035        
30 0.30 11.52 0.97305504 0.971627 0.97234109 0.061540575        
31 0.31 11.48 0.97162713 0.970137 0.97088197 0.061448226        
32 0.32 11.43 0.97013680 0.968582 0.96935946 0.061351864        
33 0.33 11.39 0.96858211 0.966961 0.96777161 0.061251368        
34 0.34 11.35 0.96696110 0.965272 0.96611645 0.06114661        
35 0.35 11.31 0.96527179 0.963512 0.96439199 0.061037468        
36 0.36 11.26 0.96351219 0.96168 0.96259624 0.060923813        
37 0.37 11.22 0.96168030 0.959774 0.9607272 0.060805519        
38 0.38 11.18 0.95977410 0.957792 0.95878285 0.060682459        
39 0.39 11.14 0.95779160 0.955731 0.95676119 0.060554505        
40 0.40 11.09 0.95573077 0.95359 0.95466018 0.060421531        
41 0.41 11.05 0.95358960 0.951366 0.95247783 0.060283407        
42 0.42 11.01 0.95136607 0.949058 0.95021213 0.060140008        
43 0.43 10.97 0.94905819 0.946664 0.94786107 0.059991207        
44 0.44 10.92 0.94666395 0.944181 0.94542267 0.059836878        
45 0.45 10.88 0.94418139 0.941609 0.94289497 0.059676897        
46 0.46 10.84 0.94160854 0.938943 0.940276 0.059511139        
47 0.47 10.79 0.93894346 0.936184 0.93756386 0.059339485        
48 0.48 10.75 0.93618425 0.933329 0.93475662 0.059161812        
49 0.49 10.71 0.93332900 0.930376 0.93185243 0.058978002        
50 0.50 10.67 0.93037587 0.927323 0.92884946 0.05878794        
51 0.51 10.62 0.92732305 0.924169 0.9257459 0.058591513        
52 0.52 10.58 0.92416876 0.920911 0.92254001 0.058388608        
53 0.53 10.54 0.92091126 0.917549 0.91923008 0.058179119        
54 0.54 10.50 0.91754889 0.91408 0.91581445 0.05796294        
55 0.55 10.45 0.91408001 0.910503 0.91229153 0.05773997        
56 0.56 10.41 0.91050305 0.906817 0.90865978 0.057510113        
57 0.57 10.37 0.90681651 0.903019 0.90491772 0.057273274        
58 0.58 10.33 0.90301894 0.899109 0.90106396 0.057029364        
59 0.59 10.28 0.89910897 0.895085 0.89709714 0.0567783        
60 0.60 10.24 0.89508531 0.890947 0.89301602 0.056520001        
61 0.61 10.20 0.89094673 0.886692 0.88881942 0.056254393        
62 0.62 10.15 0.88669210 0.88232 0.88450624 0.055981408        
63 0.63 10.11 0.88232038 0.877831 0.88007548 0.05570098        
64 0.64 10.07 0.87783059 0.873222 0.87552624 0.055413053        
65 0.65 10.03 0.87322188 0.868493 0.87085769 0.055117575        
66 0.66 9.98 0.86849349 0.863645 0.86606912 0.054814501        
67 0.67 9.94 0.86364475 0.858675 0.86115993 0.054503793        
68 0.68 9.90 0.85867510 0.853584 0.8561296 0.054185418        
69 0.69 9.86 0.85358410 0.848371 0.85097776 0.053859352        
70 0.70 9.81 0.84837141 0.843037 0.84570412 0.053525577        
71 0.71 9.77 0.84303682 0.83758 0.84030852 0.053184084        
72 0.72 9.73 0.83758022 0.832002 0.83479093 0.052834869        
73 0.73 9.69 0.83200164 0.826301 0.82915144 0.052477939        
74 0.74 9.64 0.82630123 0.820479 0.82339025 0.052113307        
75 0.75 9.60 0.82047927 0.814536 0.81750771 0.051740994        
76 0.76 9.56 0.81453615 0.808472 0.81150428 0.05136103        
77 0.77 9.51 0.80847241 0.802289 0.80538057 0.050973454        
78 0.78 9.47 0.80228874 0.795986 0.79913733 0.050578312        
79 0.79 9.43 0.79598592 0.789565 0.79277542 0.050175659        
80 0.80 9.39 0.78956491 0.783027 0.78629585 0.04976556        
81 0.81 9.34 0.78302679 0.776373 0.77969979 0.049348088        
82 0.82 9.30 0.77637278 0.769604 0.77298851 0.048923323        
83 0.83 9.26 0.76960423 0.762723 0.76616344 0.048491357        
84 0.84 9.22 0.76272265 0.75573 0.75922617 0.048052289        
85 0.85 9.17 0.75572968 0.748627 0.75217839 0.047606227        
86 0.86 9.13 0.74862709 0.741417 0.74502195 0.047153288        
87 0.87 9.09 0.74141681 0.734101 0.73775884 0.046693598        
88 0.88 9.05 0.73410088 0.726682 0.7303912 0.046227291        
89 0.89 9.00 0.72668151 0.719161 0.72292127 0.045754511        
90 0.90 8.96 0.71916103 0.711542 0.71535147 0.045275409        
91 0.91 8.92 0.71154190 0.703827 0.70768431 0.044790146        
92 0.92 8.87 0.70382672 0.696018 0.69992247 0.04429889        
93 0.93 8.83 0.69601822 0.688119 0.69206873 0.043801818        
94 0.94 8.79 0.68811924 0.680133 0.68412601 0.043299115        
95 0.95 8.75 0.68013279 0.672062 0.67609736 0.042790972        
96 0.96 8.70 0.67206194 0.66391 0.66798594 0.042277591        
97 0.97 8.66 0.66390993 0.65568 0.65979501 0.041759178        
98 0.98 8.62 0.65568010 0.647376 0.65152799 0.041235948        
99 0.99 8.58 0.64737588 0.639001 0.64318835 0.040708123        
100 1.00 8.53 0.63900082 0.630559 0.63477971 0.040175931        
101 1.01 8.49 0.63055860 0.622053 0.62630577 0.039639606        
102 1.02 8.45 0.62205294 0.613488 0.61777033 0.039099388        
103 1.03 8.41 0.61348771 0.604867 0.60917727 0.038555523        
104 1.04 8.36 0.60486683 0.596194 0.60053057 0.038008264        
105 1.05 8.32 0.59619431 0.587474 0.59183427 0.037457865        
106 1.06 8.28 0.58747424 0.578711 0.58309251 0.036904589        
107 1.07 8.23 0.57871078 0.569908 0.57430947 0.0363487        
108 1.08 8.19 0.56990816 0.561071 0.5654894 0.035790468        
109 1.09 8.15 0.56107065 0.552203 0.55663662 0.035230166        
110 1.10 8.11 0.55220259 0.543308 0.54775547 0.034668068        
111 1.11 8.06 0.54330836 0.534392 0.53885037 0.034104453        
112 1.12 8.02 0.53439237 0.525459 0.52992573 0.033539603        
113 1.13 7.98 0.52545908 0.516513 0.52098602 0.032973799        
114 1.14 7.94 0.51651296 0.507558 0.51203572 0.032407324        
115 1.15 7.89 0.50755849 0.4986 0.50307934 0.031840465        
116 1.16 7.85 0.49860020 0.489643 0.49412141 0.031273507        
117 1.17 7.81 0.48964261 0.48069 0.48516644 0.030706737        
118 1.18 7.77 0.48069027 0.471748 0.47621898 0.030140442        
119 1.19 7.72 0.47174768 0.462819 0.4672835 0.029574905        
120 1.20 7.68 0.46281931 0.45391 0.45836448 0.02901041        
121 1.21 7.64 0.45390965 0.445023 0.44946639 0.02844724        
122 1.22 7.59 0.44502312 0.436164 0.44059363 0.027885673        
123 1.23 7.55 0.43616414 0.427337 0.43175061 0.027325988        
124 1.24 7.51 0.42733707 0.418546 0.42294165 0.026768459        
125 1.25 7.47 0.41854623 0.409796 0.41417106 0.026213358        
126 1.26 7.42 0.40979588 0.40109 0.40544306 0.025660953        
127 1.27 7.38 0.40109023 0.392433 0.39676182 0.025111508        
128 1.28 7.34 0.39243341 0.383829 0.38813145 0.024565282        
129 1.29 7.30 0.38382949 0.375282 0.37955597 0.02402253        
130 1.30 7.25 0.37528246 0.366796 0.37103934 0.023483502        
131 1.31 7.21 0.36679622 0.358375 0.3625854 0.022948443        
132 1.32 7.17 0.35837458 0.350021 0.35419793 0.022417591        
133 1.33 7.13 0.35002128 0.34174 0.3458806 0.021891177        
134 1.34 7.08 0.34173993 0.333534 0.33763699 0.021369429        
135 1.35 7.04 0.33353404 0.325407 0.32947055 0.020852566        
136 1.36 7.00 0.32540705 0.317362 0.32138464 0.0203408        
137 1.37 6.95 0.31736223 0.309403 0.31338251 0.019834336        
138 1.38 6.91 0.30940279 0.301532 0.30546728 0.019333372        
139 1.39 6.87 0.30153177 0.293752 0.29764195 0.018838098        
140 1.40 6.83 0.29375213 0.286067 0.2899094 0.018348696        
141 1.41 6.78 0.28606668 0.278478 0.28227239 0.017865341        
142 1.42 6.74 0.27847810 0.270989 0.27473353 0.017388198        
143 1.43 6.70 0.27098896 0.263602 0.26729532 0.016917425        
144 1.44 6.66 0.26360167 0.256319 0.2599601 0.016453171        
145 1.45 6.61 0.25631853 0.249142 0.25273011 0.015995577        
146 1.46 6.57 0.24914169 0.242073 0.24560742 0.015544774        
147 1.47 6.53 0.24207315 0.235115 0.23859398 0.015100885        
148 1.48 6.49 0.23511481 0.228268 0.23169159 0.014664025        
149 1.49 6.44 0.22826838 0.221535 0.22490193 0.014234299        
150 1.50 6.40 0.22153547 0.214918 0.2182265 0.013811804        
151 1.51 6.36 0.21491754 0.208416 0.21166671 0.013396627        
152 1.52 6.31 0.20841589 0.202032 0.2052238 0.012988848        
153 1.53 6.27 0.20203171 0.195766 0.19889887 0.012588536        
154 1.54 6.23 0.19576603 0.18962 0.19269289 0.012195753        
155 1.55 6.19 0.18961975 0.183594 0.1866067 0.011810551        
156 1.56 6.14 0.18359364 0.177688 0.18064099 0.011432974        
157 1.57 6.10 0.17768833 0.171904 0.17479632 0.011063059        
158 1.58 6.06 0.17190432 0.166242 0.16907313 0.010700831        
159 1.59 6.02 0.16624195 0.160701 0.16347172 0.010346311        
160 1.60 5.97 0.16070148 0.155283 0.15799225 0.00999951        
161 1.61 5.93 0.15528302 0.149987 0.15263478 0.009660429        
162 1.62 5.89 0.14998653 0.144812 0.14739922 0.009329064        
163 1.63 5.85 0.14481190 0.139759 0.14228538 0.009005404        
164 1.64 5.80 0.13975887 0.134827 0.13729296 0.008689428        
165 1.65 5.76 0.13482705 0.130016 0.13242152 0.008381109        
166 1.66 5.72 0.13001599 0.125325 0.12767053 0.008080413        
167 1.67 5.67 0.12532507 0.120754 0.12303934 0.0077873        
168 1.68 5.63 0.12075361 0.116301 0.11852722 0.007501723        
169 1.69 5.59 0.11630082 0.111966 0.11413331 0.007223627        
170 1.70 5.55 0.11196579 0.107748 0.10985667 0.006952954        
171 1.71 5.50 0.10774755 0.103645 0.10569628 0.006689638        
172 1.72 5.46 0.10364501 0.099657 0.10165101 0.006433608        
173 1.73 5.42 0.09965701 0.095782 0.09771966 0.006184789        
174 1.74 5.38 0.09578231 0.09202 0.09390095 0.005943098        
175 1.75 5.33 0.09201959 0.088367 0.09019352 0.00570845        
176 1.76 5.29 0.08836745 0.084824 0.08659594 0.005480756        
177 1.77 5.25 0.08482443 0.081389 0.08310672 0.005259919        
178 1.78 5.21 0.08138900 0.07806 0.07972429 0.005045841        
179 1.79 5.16 0.07805958 0.074835 0.07644705 0.004838421        
180 1.80 5.12 0.07483452 0.071712 0.07327332 0.004637552        
181 1.81 5.08 0.07171213 0.068691 0.07020139 0.004443126        
182 1.82 5.03 0.06869065 0.065768 0.06722948 0.00425503        
183 1.83 4.99 0.06576831 0.062943 0.06435579 0.004073151        
184 1.84 4.95 0.06294327 0.060214 0.06157847 0.003897372        
185 1.85 4.91 0.06021367 0.057578 0.05889565 0.003727573        
186 1.86 4.86 0.05757763 0.055033 0.05630541 0.003563634        
187 1.87 4.82 0.05503320 0.052578 0.05380583 0.003405432        
188 1.88 4.78 0.05257845 0.050211 0.05139494 0.003252844        
189 1.89 4.74 0.05021142 0.04793 0.04907077 0.003105745        
190 1.90 4.69 0.04793011 0.045733 0.04683132 0.002964008        
191 1.91 4.65 0.04573254 0.043617 0.04467461 0.002827507        
192 1.92 4.61 0.04361668 0.041581 0.04259862 0.002696115        
193 1.93 4.57 0.04158055 0.039622 0.04060133 0.002569704        
194 1.94 4.52 0.03962211 0.037739 0.03868073 0.002448147        
195 1.95 4.48 0.03773935 0.03593 0.03683481 0.002331317        
196 1.96 4.44 0.03593027 0.034193 0.03506155 0.002219086        
197 1.97 4.39 0.03419284 0.032525 0.03335897 0.002111327        
198 1.98 4.35 0.03252509 0.030925 0.03172505 0.002007915        
199 1.99 4.31 0.03092501 0.029391 0.03015783 0.001908723        
200 2.00 4.27 0.02939065 0.02792 0.02865534 0.001813629        
201 2.01 4.22 0.02792003 0.026511 0.02721563 0.001722508        
202 2.02 4.18 0.02651123 0.025162 0.02583678 0.001635239        
203 2.03 4.14 0.02516232 0.023871 0.02451687 0.001551701        
204 2.04 4.10 0.02387141 0.022637 0.02325403 0.001471774        
205 2.05 4.05 0.02263664 0.021456 0.02204639 0.001395341        
206 2.06 4.01 0.02145614 0.020328 0.02089213 0.001322287        
207 2.07 3.97 0.02032811 0.019251 0.01978944 0.001252496        
208 2.08 3.93 0.01925076 0.018222 0.01873655 0.001185857        
209 2.09 3.88 0.01822233 0.017241 0.01773171 0.00112226        
210 2.10 3.84 0.01724110 0.016305 0.01677323 0.001061597        
211 2.11 3.80 0.01630536 0.015413 0.01585941 0.00100376        
212 2.12 3.75 0.01541346 0.014564 0.01498862 0.000948647        
213 2.13 3.71 0.01456378 0.013755 0.01415925 0.000896155        
214 2.14 3.67 0.01375472 0.012985 0.01336973 0.000846185        
215 2.15 3.63 0.01298474 0.012252 0.01261852 0.00079864        
216 2.16 3.58 0.01225230 0.011556 0.01190412 0.000753425        
217 2.17 3.54 0.01155594 0.010894 0.01122508 0.000710448        
218 2.18 3.50 0.01089421 0.010266 0.01057996 0.000669618        
219 2.19 3.46 0.01026571 0.009669 0.00996738 0.000630847        
220 2.20 3.41 0.00966906 0.009103 0.009386 0.000594051        
221 2.21 3.37 0.00910294 0.008566 0.0088345 0.000559145        
222 2.22 3.33 0.00856606 0.008057 0.00831161 0.000526051        
223 2.23 3.29 0.00805716 0.007575 0.00781609 0.000494689        
224 2.24 3.24 0.00757503 0.007118 0.00734676 0.000464985        
225 2.25 3.20 0.00711849 0.006686 0.00690245 0.000436864        
226 2.26 3.16 0.00668640 0.006278 0.00648203 0.000410255        
227 2.27 3.11 0.00627766 0.005891 0.00608443 0.00038509        
228 2.28 3.07 0.00589120 0.005526 0.00570859 0.000361303        
229 2.29 3.03 0.00552599 0.005181 0.00535351 0.00033883        
230 2.30 2.99 0.00518103 0.004855 0.0050182 0.000317608        
231 2.31 2.94 0.00485537 0.004548 0.00470173 0.000297578        
232 2.32 2.90 0.00454808 0.004258 0.00440318 0.000278682        
233 2.33 2.86 0.00425828 0.003985 0.00412169 0.000260866        
234 2.34 2.82 0.00398510 0.003728 0.00385641 0.000244077        
235 2.35 2.77 0.00372772 0.003485 0.00360653 0.000228262        
236 2.36 2.73 0.00348535 0.003257 0.00337129 0.000213373        
237 2.37 2.69 0.00325723 0.003043 0.00314993 0.000199362        
238 2.38 2.65 0.00304263 0.002841 0.00294173 0.000186186        
239 2.39 2.60 0.00284084 0.002651 0.00274603 0.000173799        
240 2.40 2.56 0.00265121 0.002473 0.00256215 0.000162161        
241 2.41 2.52 0.00247309 0.002306 0.00238947 0.000151233        
242 2.42 2.47 0.00230586 0.002149 0.0022274 0.000140975        
243 2.43 2.43 0.00214894 0.002002 0.00207535 0.000131351        
244 2.44 2.39 0.00200176 0.001864 0.00193278 0.000122328        
245 2.45 2.35 0.00186379 0.001735 0.00179916 0.000113871        
246 2.46 2.30 0.00173452 0.001613 0.001674 0.000105949        
247 2.47 2.26 0.00161347 0.0015 0.00155681 9.85325E-05        
248 2.48 2.22 0.00150016 0.001394 0.00144716 9.15923E-05        
249 2.49 2.18 0.00139416 0.001295 0.0013446 8.5101E-05        
250 2.50 2.13 0.00129503 0.001202 0.00124872 7.90327E-05        
251 2.51 2.09 0.00120240 0.001116 0.00115913 7.33627E-05        
252 2.52 2.05 0.00111586 0.001035 0.00107547 6.80676E-05        
253 2.53 2.01 0.00103507 0.00096 0.00099737 6.3125E-05        
254 2.54 1.96 0.00095968 0.000889 0.00092452 5.85138E-05        
255 2.55 1.92 0.00088936 0.000824 0.00085658 5.42139E-05        
256 2.56 1.88 0.00082380 0.000763 0.00079326 5.02064E-05        
257 2.57 1.83 0.00076272 0.000706 0.00073428 4.64733E-05        
258 2.58 1.79 0.00070583 0.000653 0.00067936 4.29974E-05        
259 2.59 1.75 0.00065288 0.000604 0.00062825 3.97628E-05        
260 2.60 1.71 0.00060362 0.000558 0.00058072 3.67542E-05        
261 2.61 1.66 0.00055781 0.000515 0.00053652 3.39572E-05        
262 2.62 1.62 0.00051524 0.000476 0.00049546 3.13582E-05        
263 2.63 1.58 0.00047568 0.000439 0.00045732 2.89445E-05        
264 2.64 1.54 0.00043896 0.000405 0.00042192 2.67039E-05        
265 2.65 1.49 0.00040488 0.000373 0.00038908 2.46251E-05        
266 2.66 1.45 0.00037327 0.000344 0.00035862 2.26973E-05        
267 2.67 1.41 0.00034397 0.000317 0.00033039 2.09106E-05        
268 2.68 1.37 0.00031681 0.000292 0.00030424 1.92554E-05        
269 2.69 1.32 0.00029166 0.000268 0.00028002 1.77228E-05        
270 2.70 1.28 0.00026838 0.000247 0.00025761 1.63045E-05        
271 2.71 1.24 0.00024684 0.000227 0.00023688 1.49925E-05        
272 2.72 1.19 0.00022692 0.000209 0.00021772 1.37796E-05        
273 2.73 1.15 0.00020851 0.000192 0.00020001 1.26587E-05        
274 2.74 1.11 0.00019150 0.000176 0.00018365 1.16235E-05        
275 2.75 1.07 0.00017580 0.000161 0.00016855 1.06679E-05        
276 2.76 1.02 0.00016131 0.000148 0.00015462 9.78621E-06        
277 2.77 0.98 0.00014794 0.000136 0.00014177 8.9731E-06        
278 2.78 0.94 0.00013561 0.000124 0.00012993 8.22362E-06        
279 2.79 0.90 0.00012425 0.000114 0.00011902 7.53315E-06        
280 2.80 0.85 0.00011379 0.000104 0.00010898 6.89736E-06        
281 2.81 0.81 0.00010416 9.53E-05 9.9733E-05 6.31222E-06        
282 2.82 0.77 0.00009530 8.72E-05 9.1229E-05 5.77396E-06        
283 2.83 0.73 0.00008715 7.97E-05 8.3409E-05 5.27907E-06        
284 2.84 0.68 0.00007966 7.28E-05 7.6224E-05 4.8243E-06        
285 2.85 0.64 0.00007278 6.65E-05 6.9624E-05 4.40659E-06        
286 2.86 0.60 0.00006646 6.07E-05 6.3565E-05 4.02312E-06        
287 2.87 0.55 0.00006067 5.53E-05 5.8006E-05 3.67127E-06        
288 2.88 0.51 0.00005535 5.05E-05 5.2908E-05 3.34858E-06        
289 2.89 0.47 0.00005047 4.6E-05 4.8234E-05 3.0528E-06        
290 2.90 0.43 0.00004600 4.19E-05 4.3953E-05 2.7818E-06        
291 2.91 0.38 0.00004191 3.82E-05 4.0032E-05 2.53365E-06        
292 2.92 0.34 0.00003816 3.47E-05 3.6443E-05 2.30653E-06        
293 2.93 0.30 0.00003473 3.16E-05 3.316E-05 2.09876E-06        
294 2.94 0.26 0.00003159 2.87E-05 3.0159E-05 1.90878E-06        
295 2.95 0.21 0.00002873 2.61E-05 2.7416E-05 1.73517E-06        
296 2.96 0.17 0.00002611 2.37E-05 2.491E-05 1.5766E-06        
297 2.97 0.13 0.00002371 2.15E-05 2.2623E-05 1.43182E-06        
298 2.98 0.09 0.00002153 1.95E-05 2.0536E-05 1.29972E-06        
299 2.99 0.04 0.00001954 1.77E-05 1.8632E-05 1.17923E-06        
300 3.00 0.00 0.00001772 1.61E-05 1.6897E-05 1.0694E-06        
        SUM   7.272994834        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 3.50 vph   K=   0.443037975 vpm      
MU 7.90 mph   N=   1 veh      
SIGMA 1.90 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 0.51   PER HOUR= 2.17
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 0.71     4
        DETERMINISTIC (FOR MU <<<< U)= 0.51      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99504488 0.994713 0.99487908 0.004407692        
2 0.02 12.71 0.99471329 0.994362 0.9945377 0.00440618        
3 0.03 12.67 0.99436211 0.99399 0.99417623 0.004404578        
4 0.04 12.63 0.99399036 0.993597 0.99379371 0.004402884        
5 0.05 12.59 0.99359705 0.993181 0.99338909 0.004401091        
6 0.06 12.54 0.99318113 0.992742 0.99296133 0.004399196        
7 0.07 12.50 0.99274152 0.992277 0.99250932 0.004397193        
8 0.08 12.46 0.99227711 0.991787 0.99203193 0.004395078        
9 0.09 12.42 0.99178674 0.991269 0.99152799 0.004392846        
10 0.10 12.37 0.99126923 0.990723 0.99099629 0.00439049        
11 0.11 12.33 0.99072335 0.990148 0.99043559 0.004388006        
12 0.12 12.29 0.99014783 0.989541 0.9898446 0.004385387        
13 0.13 12.25 0.98954137 0.988903 0.989222 0.004382629        
14 0.14 12.20 0.98890263 0.98823 0.98856643 0.004379725        
15 0.15 12.16 0.98823023 0.987523 0.98787649 0.004376668        
16 0.16 12.12 0.98752276 0.986779 0.98715075 0.004373453        
17 0.17 12.07 0.98677875 0.985997 0.98638773 0.004370072        
18 0.18 12.03 0.98599672 0.985175 0.98558592 0.00436652        
19 0.19 11.99 0.98517513 0.984312 0.98474378 0.004362789        
20 0.20 11.95 0.98431243 0.983407 0.98385972 0.004358872        
21 0.21 11.90 0.98340701 0.982457 0.98293212 0.004354763        
22 0.22 11.86 0.98245723 0.981461 0.98195933 0.004350453        
23 0.23 11.82 0.98146143 0.980418 0.98093967 0.004345935        
24 0.24 11.78 0.98041790 0.979325 0.9798714 0.004341202        
25 0.25 11.73 0.97932491 0.978181 0.97875279 0.004336247        
26 0.26 11.69 0.97818067 0.976983 0.97758204 0.00433106        
27 0.27 11.65 0.97698341 0.975731 0.97635735 0.004325634        
28 0.28 11.61 0.97573129 0.974422 0.97507688 0.004319961        
29 0.29 11.56 0.97442246 0.973055 0.97373875 0.004314032        
30 0.30 11.52 0.97305504 0.971627 0.97234109 0.00430784        
31 0.31 11.48 0.97162713 0.970137 0.97088197 0.004301376        
32 0.32 11.43 0.97013680 0.968582 0.96935946 0.004294631        
33 0.33 11.39 0.96858211 0.966961 0.96777161 0.004287596        
34 0.34 11.35 0.96696110 0.965272 0.96611645 0.004280263        
35 0.35 11.31 0.96527179 0.963512 0.96439199 0.004272623        
36 0.36 11.26 0.96351219 0.96168 0.96259624 0.004264667        
37 0.37 11.22 0.96168030 0.959774 0.9607272 0.004256386        
38 0.38 11.18 0.95977410 0.957792 0.95878285 0.004247772        
39 0.39 11.14 0.95779160 0.955731 0.95676119 0.004238815        
40 0.40 11.09 0.95573077 0.95359 0.95466018 0.004229507        
41 0.41 11.05 0.95358960 0.951366 0.95247783 0.004219838        
42 0.42 11.01 0.95136607 0.949058 0.95021213 0.004209801        
43 0.43 10.97 0.94905819 0.946664 0.94786107 0.004199384        
44 0.44 10.92 0.94666395 0.944181 0.94542267 0.004188581        
45 0.45 10.88 0.94418139 0.941609 0.94289497 0.004177383        
46 0.46 10.84 0.94160854 0.938943 0.940276 0.00416578        
47 0.47 10.79 0.93894346 0.936184 0.93756386 0.004153764        
48 0.48 10.75 0.93618425 0.933329 0.93475662 0.004141327        
49 0.49 10.71 0.93332900 0.930376 0.93185243 0.00412846        
50 0.50 10.67 0.93037587 0.927323 0.92884946 0.004115156        
51 0.51 10.62 0.92732305 0.924169 0.9257459 0.004101406        
52 0.52 10.58 0.92416876 0.920911 0.92254001 0.004087203        
53 0.53 10.54 0.92091126 0.917549 0.91923008 0.004072538        
54 0.54 10.50 0.91754889 0.91408 0.91581445 0.004057406        
55 0.55 10.45 0.91408001 0.910503 0.91229153 0.004041798        
56 0.56 10.41 0.91050305 0.906817 0.90865978 0.004025708        
57 0.57 10.37 0.90681651 0.903019 0.90491772 0.004009129        
58 0.58 10.33 0.90301894 0.899109 0.90106396 0.003992055        
59 0.59 10.28 0.89910897 0.895085 0.89709714 0.003974481        
60 0.60 10.24 0.89508531 0.890947 0.89301602 0.0039564        
61 0.61 10.20 0.89094673 0.886692 0.88881942 0.003937808        
62 0.62 10.15 0.88669210 0.88232 0.88450624 0.003918699        
63 0.63 10.11 0.88232038 0.877831 0.88007548 0.003899069        
64 0.64 10.07 0.87783059 0.873222 0.87552624 0.003878914        
65 0.65 10.03 0.87322188 0.868493 0.87085769 0.00385823        
66 0.66 9.98 0.86849349 0.863645 0.86606912 0.003837015        
67 0.67 9.94 0.86364475 0.858675 0.86115993 0.003815265        
68 0.68 9.90 0.85867510 0.853584 0.8561296 0.003792979        
69 0.69 9.86 0.85358410 0.848371 0.85097776 0.003770155        
70 0.70 9.81 0.84837141 0.843037 0.84570412 0.00374679        
71 0.71 9.77 0.84303682 0.83758 0.84030852 0.003722886        
72 0.72 9.73 0.83758022 0.832002 0.83479093 0.003698441        
73 0.73 9.69 0.83200164 0.826301 0.82915144 0.003673456        
74 0.74 9.64 0.82630123 0.820479 0.82339025 0.003647931        
75 0.75 9.60 0.82047927 0.814536 0.81750771 0.00362187        
76 0.76 9.56 0.81453615 0.808472 0.81150428 0.003595272        
77 0.77 9.51 0.80847241 0.802289 0.80538057 0.003568142        
78 0.78 9.47 0.80228874 0.795986 0.79913733 0.003540482        
79 0.79 9.43 0.79598592 0.789565 0.79277542 0.003512296        
80 0.80 9.39 0.78956491 0.783027 0.78629585 0.003483589        
81 0.81 9.34 0.78302679 0.776373 0.77969979 0.003454366        
82 0.82 9.30 0.77637278 0.769604 0.77298851 0.003424633        
83 0.83 9.26 0.76960423 0.762723 0.76616344 0.003394395        
84 0.84 9.22 0.76272265 0.75573 0.75922617 0.00336366        
85 0.85 9.17 0.75572968 0.748627 0.75217839 0.003332436        
86 0.86 9.13 0.74862709 0.741417 0.74502195 0.00330073        
87 0.87 9.09 0.74141681 0.734101 0.73775884 0.003268552        
88 0.88 9.05 0.73410088 0.726682 0.7303912 0.00323591        
89 0.89 9.00 0.72668151 0.719161 0.72292127 0.003202816        
90 0.90 8.96 0.71916103 0.711542 0.71535147 0.003169279        
91 0.91 8.92 0.71154190 0.703827 0.70768431 0.00313531        
92 0.92 8.87 0.70382672 0.696018 0.69992247 0.003100922        
93 0.93 8.83 0.69601822 0.688119 0.69206873 0.003066127        
94 0.94 8.79 0.68811924 0.680133 0.68412601 0.003030938        
95 0.95 8.75 0.68013279 0.672062 0.67609736 0.002995368        
96 0.96 8.70 0.67206194 0.66391 0.66798594 0.002959431        
97 0.97 8.66 0.66390993 0.65568 0.65979501 0.002923142        
98 0.98 8.62 0.65568010 0.647376 0.65152799 0.002886516        
99 0.99 8.58 0.64737588 0.639001 0.64318835 0.002849569        
100 1.00 8.53 0.63900082 0.630559 0.63477971 0.002812315        
101 1.01 8.49 0.63055860 0.622053 0.62630577 0.002774772        
102 1.02 8.45 0.62205294 0.613488 0.61777033 0.002736957        
103 1.03 8.41 0.61348771 0.604867 0.60917727 0.002698887        
104 1.04 8.36 0.60486683 0.596194 0.60053057 0.002660578        
105 1.05 8.32 0.59619431 0.587474 0.59183427 0.002622051        
106 1.06 8.28 0.58747424 0.578711 0.58309251 0.002583321        
107 1.07 8.23 0.57871078 0.569908 0.57430947 0.002544409        
108 1.08 8.19 0.56990816 0.561071 0.5654894 0.002505333        
109 1.09 8.15 0.56107065 0.552203 0.55663662 0.002466112        
110 1.10 8.11 0.55220259 0.543308 0.54775547 0.002426765        
111 1.11 8.06 0.54330836 0.534392 0.53885037 0.002387312        
112 1.12 8.02 0.53439237 0.525459 0.52992573 0.002347772        
113 1.13 7.98 0.52545908 0.516513 0.52098602 0.002308166        
114 1.14 7.94 0.51651296 0.507558 0.51203572 0.002268513        
115 1.15 7.89 0.50755849 0.4986 0.50307934 0.002228833        
116 1.16 7.85 0.49860020 0.489643 0.49412141 0.002189145        
117 1.17 7.81 0.48964261 0.48069 0.48516644 0.002149472        
118 1.18 7.77 0.48069027 0.471748 0.47621898 0.002109831        
119 1.19 7.72 0.47174768 0.462819 0.4672835 0.002070243        
120 1.20 7.68 0.46281931 0.45391 0.45836448 0.002030729        
121 1.21 7.64 0.45390965 0.445023 0.44946639 0.001991307        
122 1.22 7.59 0.44502312 0.436164 0.44059363 0.001951997        
123 1.23 7.55 0.43616414 0.427337 0.43175061 0.001912819        
124 1.24 7.51 0.42733707 0.418546 0.42294165 0.001873792        
125 1.25 7.47 0.41854623 0.409796 0.41417106 0.001834935        
126 1.26 7.42 0.40979588 0.40109 0.40544306 0.001796267        
127 1.27 7.38 0.40109023 0.392433 0.39676182 0.001757806        
128 1.28 7.34 0.39243341 0.383829 0.38813145 0.00171957        
129 1.29 7.30 0.38382949 0.375282 0.37955597 0.001681577        
130 1.30 7.25 0.37528246 0.366796 0.37103934 0.001643845        
131 1.31 7.21 0.36679622 0.358375 0.3625854 0.001606391        
132 1.32 7.17 0.35837458 0.350021 0.35419793 0.001569231        
133 1.33 7.13 0.35002128 0.34174 0.3458806 0.001532382        
134 1.34 7.08 0.34173993 0.333534 0.33763699 0.00149586        
135 1.35 7.04 0.33353404 0.325407 0.32947055 0.00145968        
136 1.36 7.00 0.32540705 0.317362 0.32138464 0.001423856        
137 1.37 6.95 0.31736223 0.309403 0.31338251 0.001388404        
138 1.38 6.91 0.30940279 0.301532 0.30546728 0.001353336        
139 1.39 6.87 0.30153177 0.293752 0.29764195 0.001318667        
140 1.40 6.83 0.29375213 0.286067 0.2899094 0.001284409
141 1.41 6.78 0.28606668 0.278478 0.28227239 0.001250574        
142 1.42 6.74 0.27847810 0.270989 0.27473353 0.001217174        
143 1.43 6.70 0.27098896 0.263602 0.26729532 0.00118422        
144 1.44 6.66 0.26360167 0.256319 0.2599601 0.001151722        
145 1.45 6.61 0.25631853 0.249142 0.25273011 0.00111969        
146 1.46 6.57 0.24914169 0.242073 0.24560742 0.001088134        
147 1.47 6.53 0.24207315 0.235115 0.23859398 0.001057062        
148 1.48 6.49 0.23511481 0.228268 0.23169159 0.001026482        
149 1.49 6.44 0.22826838 0.221535 0.22490193 0.000996401        
150 1.50 6.40 0.22153547 0.214918 0.2182265 0.000966826        
151 1.51 6.36 0.21491754 0.208416 0.21166671 0.000937764        
152 1.52 6.31 0.20841589 0.202032 0.2052238 0.000909219        
153 1.53 6.27 0.20203171 0.195766 0.19889887 0.000881198        
154 1.54 6.23 0.19576603 0.18962 0.19269289 0.000853703        
155 1.55 6.19 0.18961975 0.183594 0.1866067 0.000826739        
156 1.56 6.14 0.18359364 0.177688 0.18064099 0.000800308        
157 1.57 6.10 0.17768833 0.171904 0.17479632 0.000774414        
158 1.58 6.06 0.17190432 0.166242 0.16907313 0.000749058        
159 1.59 6.02 0.16624195 0.160701 0.16347172 0.000724242        
160 1.60 5.97 0.16070148 0.155283 0.15799225 0.000699966        
161 1.61 5.93 0.15528302 0.149987 0.15263478 0.00067623        
162 1.62 5.89 0.14998653 0.144812 0.14739922 0.000653035        
163 1.63 5.85 0.14481190 0.139759 0.14228538 0.000630378        
164 1.64 5.80 0.13975887 0.134827 0.13729296 0.00060826        
165 1.65 5.76 0.13482705 0.130016 0.13242152 0.000586678        
166 1.66 5.72 0.13001599 0.125325 0.12767053 0.000565629        
167 1.67 5.67 0.12532507 0.120754 0.12303934 0.000545111        
168 1.68 5.63 0.12075361 0.116301 0.11852722 0.000525121        
169 1.69 5.59 0.11630082 0.111966 0.11413331 0.000505654        
170 1.70 5.55 0.11196579 0.107748 0.10985667 0.000486707        
171 1.71 5.50 0.10774755 0.103645 0.10569628 0.000468275        
172 1.72 5.46 0.10364501 0.099657 0.10165101 0.000450353        
173 1.73 5.42 0.09965701 0.095782 0.09771966 0.000432935        
174 1.74 5.38 0.09578231 0.09202 0.09390095 0.000416017        
175 1.75 5.33 0.09201959 0.088367 0.09019352 0.000399592        
176 1.76 5.29 0.08836745 0.084824 0.08659594 0.000383653        
177 1.77 5.25 0.08482443 0.081389 0.08310672 0.000368194        
178 1.78 5.21 0.08138900 0.07806 0.07972429 0.000353209        
179 1.79 5.16 0.07805958 0.074835 0.07644705 0.000338689        
180 1.80 5.12 0.07483452 0.071712 0.07327332 0.000324629        
181 1.81 5.08 0.07171213 0.068691 0.07020139 0.000311019        
182 1.82 5.03 0.06869065 0.065768 0.06722948 0.000297852        
183 1.83 4.99 0.06576831 0.062943 0.06435579 0.000285121        
184 1.84 4.95 0.06294327 0.060214 0.06157847 0.000272816        
185 1.85 4.91 0.06021367 0.057578 0.05889565 0.00026093        
186 1.86 4.86 0.05757763 0.055033 0.05630541 0.000249454        
187 1.87 4.82 0.05503320 0.052578 0.05380583 0.00023838        
188 1.88 4.78 0.05257845 0.050211 0.05139494 0.000227699        
189 1.89 4.74 0.05021142 0.04793 0.04907077 0.000217402        
190 1.90 4.69 0.04793011 0.045733 0.04683132 0.000207481        
191 1.91 4.65 0.04573254 0.043617 0.04467461 0.000197925        
192 1.92 4.61 0.04361668 0.041581 0.04259862 0.000188728        
193 1.93 4.57 0.04158055 0.039622 0.04060133 0.000179879        
194 1.94 4.52 0.03962211 0.037739 0.03868073 0.00017137        
195 1.95 4.48 0.03773935 0.03593 0.03683481 0.000163192        
196 1.96 4.44 0.03593027 0.034193 0.03506155 0.000155336        
197 1.97 4.39 0.03419284 0.032525 0.03335897 0.000147793        
198 1.98 4.35 0.03252509 0.030925 0.03172505 0.000140554        
199 1.99 4.31 0.03092501 0.029391 0.03015783 0.000133611        
200 2.00 4.27 0.02939065 0.02792 0.02865534 0.000126954        
201 2.01 4.22 0.02792003 0.026511 0.02721563 0.000120576        
202 2.02 4.18 0.02651123 0.025162 0.02583678 0.000114467        
203 2.03 4.14 0.02516232 0.023871 0.02451687 0.000108619        
204 2.04 4.10 0.02387141 0.022637 0.02325403 0.000103024        
205 2.05 4.05 0.02263664 0.021456 0.02204639 9.76739E-05        
206 2.06 4.01 0.02145614 0.020328 0.02089213 9.25601E-05        
207 2.07 3.97 0.02032811 0.019251 0.01978944 8.76747E-05        
208 2.08 3.93 0.01925076 0.018222 0.01873655 8.301E-05        
209 2.09 3.88 0.01822233 0.017241 0.01773171 7.85582E-05        
210 2.10 3.84 0.01724110 0.016305 0.01677323 7.43118E-05        
211 2.11 3.80 0.01630536 0.015413 0.01585941 7.02632E-05        
212 2.12 3.75 0.01541346 0.014564 0.01498862 6.64053E-05        
213 2.13 3.71 0.01456378 0.013755 0.01415925 6.27309E-05        
214 2.14 3.67 0.01375472 0.012985 0.01336973 5.9233E-05        
215 2.15 3.63 0.01298474 0.012252 0.01261852 5.59048E-05        
216 2.16 3.58 0.01225230 0.011556 0.01190412 5.27398E-05        
217 2.17 3.54 0.01155594 0.010894 0.01122508 4.97314E-05        
218 2.18 3.50 0.01089421 0.010266 0.01057996 4.68732E-05        
219 2.19 3.46 0.01026571 0.009669 0.00996738 4.41593E-05        
220 2.20 3.41 0.00966906 0.009103 0.009386 4.15835E-05        
221 2.21 3.37 0.00910294 0.008566 0.0088345 3.91402E-05        
222 2.22 3.33 0.00856606 0.008057 0.00831161 3.68236E-05        
223 2.23 3.29 0.00805716 0.007575 0.00781609 3.46283E-05        
224 2.24 3.24 0.00757503 0.007118 0.00734676 3.25489E-05        
225 2.25 3.20 0.00711849 0.006686 0.00690245 3.05805E-05        
226 2.26 3.16 0.00668640 0.006278 0.00648203 2.87179E-05        
227 2.27 3.11 0.00627766 0.005891 0.00608443 2.69563E-05        
228 2.28 3.07 0.00589120 0.005526 0.00570859 2.52912E-05        
229 2.29 3.03 0.00552599 0.005181 0.00535351 2.37181E-05        
230 2.30 2.99 0.00518103 0.004855 0.0050182 2.22325E-05        
231 2.31 2.94 0.00485537 0.004548 0.00470173 2.08304E-05        
232 2.32 2.90 0.00454808 0.004258 0.00440318 1.95078E-05        
233 2.33 2.86 0.00425828 0.003985 0.00412169 1.82606E-05        
234 2.34 2.82 0.00398510 0.003728 0.00385641 1.70854E-05        
235 2.35 2.77 0.00372772 0.003485 0.00360653 1.59783E-05        
236 2.36 2.73 0.00348535 0.003257 0.00337129 1.49361E-05        
237 2.37 2.69 0.00325723 0.003043 0.00314993 1.39554E-05        
238 2.38 2.65 0.00304263 0.002841 0.00294173 1.3033E-05        
239 2.39 2.60 0.00284084 0.002651 0.00274603 1.21659E-05        
240 2.40 2.56 0.00265121 0.002473 0.00256215 1.13513E-05        
241 2.41 2.52 0.00247309 0.002306 0.00238947 1.05863E-05        
242 2.42 2.47 0.00230586 0.002149 0.0022274 9.86822E-06        
243 2.43 2.43 0.00214894 0.002002 0.00207535 9.19458E-06        
244 2.44 2.39 0.00200176 0.001864 0.00193278 8.56293E-06        
245 2.45 2.35 0.00186379 0.001735 0.00179916 7.97096E-06        
246 2.46 2.30 0.00173452 0.001613 0.001674 7.41644E-06        
247 2.47 2.26 0.00161347 0.0015 0.00155681 6.89728E-06        
248 2.48 2.22 0.00150016 0.001394 0.00144716 6.41146E-06        
249 2.49 2.18 0.00139416 0.001295 0.0013446 5.95707E-06        
250 2.50 2.13 0.00129503 0.001202 0.00124872 5.53229E-06        
251 2.51 2.09 0.00120240 0.001116 0.00115913 5.13539E-06        
252 2.52 2.05 0.00111586 0.001035 0.00107547 4.76473E-06        
253 2.53 2.01 0.00103507 0.00096 0.00099737 4.41875E-06        
254 2.54 1.96 0.00095968 0.000889 0.00092452 4.09596E-06        
255 2.55 1.92 0.00088936 0.000824 0.00085658 3.79498E-06        
256 2.56 1.88 0.00082380 0.000763 0.00079326 3.51445E-06        
257 2.57 1.83 0.00076272 0.000706 0.00073428 3.25313E-06        
258 2.58 1.79 0.00070583 0.000653 0.00067936 3.00982E-06        
259 2.59 1.75 0.00065288 0.000604 0.00062825 2.7834E-06        
260 2.60 1.71 0.00060362 0.000558 0.00058072 2.57279E-06        
261 2.61 1.66 0.00055781 0.000515 0.00053652 2.377E-06        
262 2.62 1.62 0.00051524 0.000476 0.00049546 2.19507E-06        
263 2.63 1.58 0.00047568 0.000439 0.00045732 2.02611E-06        
264 2.64 1.54 0.00043896 0.000405 0.00042192 1.86927E-06        
265 2.65 1.49 0.00040488 0.000373 0.00038908 1.72375E-06        
266 2.66 1.45 0.00037327 0.000344 0.00035862 1.58881E-06        
267 2.67 1.41 0.00034397 0.000317 0.00033039 1.46374E-06        
268 2.68 1.37 0.00031681 0.000292 0.00030424 1.34788E-06        
269 2.69 1.32 0.00029166 0.000268 0.00028002 1.2406E-06        
270 2.70 1.28 0.00026838 0.000247 0.00025761 1.14131E-06        
271 2.71 1.24 0.00024684 0.000227 0.00023688 1.04948E-06        
272 2.72 1.19 0.00022692 0.000209 0.00021772 9.6457E-07        
273 2.73 1.15 0.00020851 0.000192 0.00020001 8.86112E-07        
274 2.74 1.11 0.00019150 0.000176 0.00018365 8.13648E-07        
275 2.75 1.07 0.00017580 0.000161 0.00016855 7.46755E-07        
276 2.76 1.02 0.00016131 0.000148 0.00015462 6.85035E-07        
277 2.77 0.98 0.00014794 0.000136 0.00014177 6.28117E-07        
278 2.78 0.94 0.00013561 0.000124 0.00012993 5.75653E-07        
279 2.79 0.90 0.00012425 0.000114 0.00011902 5.2732E-07        
280 2.80 0.85 0.00011379 0.000104 0.00010898 4.82815E-07        
281 2.81 0.81 0.00010416 9.53E-05 9.9733E-05 4.41855E-07        
282 2.82 0.77 0.00009530 8.72E-05 9.1229E-05 4.04177E-07        
283 2.83 0.73 0.00008715 7.97E-05 8.3409E-05 3.69535E-07        
284 2.84 0.68 0.00007966 7.28E-05 7.6224E-05 3.37701E-07        
285 2.85 0.64 0.00007278 6.65E-05 6.9624E-05 3.08461E-07        
286 2.86 0.60 0.00006646 6.07E-05 6.3565E-05 2.81619E-07        
287 2.87 0.55 0.00006067 5.53E-05 5.8006E-05 2.56989E-07        
288 2.88 0.51 0.00005535 5.05E-05 5.2908E-05 2.34401E-07        
289 2.89 0.47 0.00005047 4.6E-05 4.8234E-05 2.13696E-07        
290 2.90 0.43 0.00004600 4.19E-05 4.3953E-05 1.94726E-07        
291 2.91 0.38 0.00004191 3.82E-05 4.0032E-05 1.77356E-07        
292 2.92 0.34 0.00003816 3.47E-05 3.6443E-05 1.61457E-07        
293 2.93 0.30 0.00003473 3.16E-05 3.316E-05 1.46913E-07        
294 2.94 0.26 0.00003159 2.87E-05 3.0159E-05 1.33615E-07        
295 2.95 0.21 0.00002873 2.61E-05 2.7416E-05 1.21462E-07        
296 2.96 0.17 0.00002611 2.37E-05 2.491E-05 1.10362E-07        
297 2.97 0.13 0.00002371 2.15E-05 2.2623E-05 1.00228E-07        
298 2.98 0.09 0.00002153 1.95E-05 2.0536E-05 9.09803E-08        
299 2.99 0.04 0.00001954 1.77E-05 1.8632E-05 8.25464E-08        
300 3.00 0.00 0.00001772 1.61E-05 1.6897E-05 7.48582E-08        
        SUM   0.509109638        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 10.67 vph   K=   1.350632911 vpm      
MU 7.90 mph   N=   4 veh      
SIGMA 1.90 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 1.55   PER HOUR= 6.62
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 1.25     5
        DETERMINISTIC (FOR MU <<<< U)= 1.55      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99504488 0.994713 0.99487908 0.013437164        
2 0.02 12.71 0.99471329 0.994362 0.9945377 0.013432553        
3 0.03 12.67 0.99436211 0.99399 0.99417623 0.013427671        
4 0.04 12.63 0.99399036 0.993597 0.99379371 0.013422505        
5 0.05 12.59 0.99359705 0.993181 0.99338909 0.01341704        
6 0.06 12.54 0.99318113 0.992742 0.99296133 0.013411262        
7 0.07 12.50 0.99274152 0.992277 0.99250932 0.013405157        
8 0.08 12.46 0.99227711 0.991787 0.99203193 0.01339871        
9 0.09 12.42 0.99178674 0.991269 0.99152799 0.013391903        
10 0.10 12.37 0.99126923 0.990723 0.99099629 0.013384722        
11 0.11 12.33 0.99072335 0.990148 0.99043559 0.013377149        
12 0.12 12.29 0.99014783 0.989541 0.9898446 0.013369167        
13 0.13 12.25 0.98954137 0.988903 0.989222 0.013360758        
14 0.14 12.20 0.98890263 0.98823 0.98856643 0.013351904        
15 0.15 12.16 0.98823023 0.987523 0.98787649 0.013342585        
16 0.16 12.12 0.98752276 0.986779 0.98715075 0.013332783        
17 0.17 12.07 0.98677875 0.985997 0.98638773 0.013322477        
18 0.18 12.03 0.98599672 0.985175 0.98558592 0.013311648        
19 0.19 11.99 0.98517513 0.984312 0.98474378 0.013300274        
20 0.20 11.95 0.98431243 0.983407 0.98385972 0.013288333        
21 0.21 11.90 0.98340701 0.982457 0.98293212 0.013275805        
22 0.22 11.86 0.98245723 0.981461 0.98195933 0.013262666        
23 0.23 11.82 0.98146143 0.980418 0.98093967 0.013248894        
24 0.24 11.78 0.98041790 0.979325 0.9798714 0.013234466        
25 0.25 11.73 0.97932491 0.978181 0.97875279 0.013219357        
26 0.26 11.69 0.97818067 0.976983 0.97758204 0.013203545        
27 0.27 11.65 0.97698341 0.975731 0.97635735 0.013187004        
28 0.28 11.61 0.97573129 0.974422 0.97507688 0.013169709        
29 0.29 11.56 0.97442246 0.973055 0.97373875 0.013151636        
30 0.30 11.52 0.97305504 0.971627 0.97234109 0.013132759        
31 0.31 11.48 0.97162713 0.970137 0.97088197 0.013113051        
32 0.32 11.43 0.97013680 0.968582 0.96935946 0.013092488        
33 0.33 11.39 0.96858211 0.966961 0.96777161 0.013071042        
34 0.34 11.35 0.96696110 0.965272 0.96611645 0.013048687        
35 0.35 11.31 0.96527179 0.963512 0.96439199 0.013025396        
36 0.36 11.26 0.96351219 0.96168 0.96259624 0.013001142        
37 0.37 11.22 0.96168030 0.959774 0.9607272 0.012975898        
38 0.38 11.18 0.95977410 0.957792 0.95878285 0.012949637        
39 0.39 11.14 0.95779160 0.955731 0.95676119 0.012922331        
40 0.40 11.09 0.95573077 0.95359 0.95466018 0.012893955        
41 0.41 11.05 0.95358960 0.951366 0.95247783 0.012864479        
42 0.42 11.01 0.95136607 0.949058 0.95021213 0.012833878        
43 0.43 10.97 0.94905819 0.946664 0.94786107 0.012802124        
44 0.44 10.92 0.94666395 0.944181 0.94542267 0.01276919        
45 0.45 10.88 0.94418139 0.941609 0.94289497 0.01273505        
46 0.46 10.84 0.94160854 0.938943 0.940276 0.012699677        
47 0.47 10.79 0.93894346 0.936184 0.93756386 0.012663046        
48 0.48 10.75 0.93618425 0.933329 0.93475662 0.012625131        
49 0.49 10.71 0.93332900 0.930376 0.93185243 0.012585906        
50 0.50 10.67 0.93037587 0.927323 0.92884946 0.012545346        
51 0.51 10.62 0.92732305 0.924169 0.9257459 0.012503429        
52 0.52 10.58 0.92416876 0.920911 0.92254001 0.012460129        
53 0.53 10.54 0.92091126 0.917549 0.91923008 0.012415424        
54 0.54 10.50 0.91754889 0.91408 0.91581445 0.012369291        
55 0.55 10.45 0.91408001 0.910503 0.91229153 0.01232171        
56 0.56 10.41 0.91050305 0.906817 0.90865978 0.012272658        
57 0.57 10.37 0.90681651 0.903019 0.90491772 0.012222117        
58 0.58 10.33 0.90301894 0.899109 0.90106396 0.012170066        
59 0.59 10.28 0.89910897 0.895085 0.89709714 0.012116489        
60 0.60 10.24 0.89508531 0.890947 0.89301602 0.012061368        
61 0.61 10.20 0.89094673 0.886692 0.88881942 0.012004688        
62 0.62 10.15 0.88669210 0.88232 0.88450624 0.011946432        
63 0.63 10.11 0.88232038 0.877831 0.88007548 0.011886589        
64 0.64 10.07 0.87783059 0.873222 0.87552624 0.011825146        
65 0.65 10.03 0.87322188 0.868493 0.87085769 0.011762091        
66 0.66 9.98 0.86849349 0.863645 0.86606912 0.011697415        
67 0.67 9.94 0.86364475 0.858675 0.86115993 0.011631109        
68 0.68 9.90 0.85867510 0.853584 0.8561296 0.011563168        
69 0.69 9.86 0.85358410 0.848371 0.85097776 0.011493586        
70 0.70 9.81 0.84837141 0.843037 0.84570412 0.011422358        
71 0.71 9.77 0.84303682 0.83758 0.84030852 0.011349483        
72 0.72 9.73 0.83758022 0.832002 0.83479093 0.011274961        
73 0.73 9.69 0.83200164 0.826301 0.82915144 0.011198792        
74 0.74 9.64 0.82630123 0.820479 0.82339025 0.01112098        
75 0.75 9.60 0.82047927 0.814536 0.81750771 0.011041528        
76 0.76 9.56 0.81453615 0.808472 0.81150428 0.010960444        
77 0.77 9.51 0.80847241 0.802289 0.80538057 0.010877735        
78 0.78 9.47 0.80228874 0.795986 0.79913733 0.010793412        
79 0.79 9.43 0.79598592 0.789565 0.79277542 0.010707486        
80 0.80 9.39 0.78956491 0.783027 0.78629585 0.010619971        
81 0.81 9.34 0.78302679 0.776373 0.77969979 0.010530882        
82 0.82 9.30 0.77637278 0.769604 0.77298851 0.010440237        
83 0.83 9.26 0.76960423 0.762723 0.76616344 0.010348056        
84 0.84 9.22 0.76272265 0.75573 0.75922617 0.010254358        
85 0.85 9.17 0.75572968 0.748627 0.75217839 0.010159169        
86 0.86 9.13 0.74862709 0.741417 0.74502195 0.010062512        
87 0.87 9.09 0.74141681 0.734101 0.73775884 0.009964414        
88 0.88 9.05 0.73410088 0.726682 0.7303912 0.009864904        
89 0.89 9.00 0.72668151 0.719161 0.72292127 0.009764013        
90 0.90 8.96 0.71916103 0.711542 0.71535147 0.009661772        
91 0.91 8.92 0.71154190 0.703827 0.70768431 0.009558217        
92 0.92 8.87 0.70382672 0.696018 0.69992247 0.009453383        
93 0.93 8.83 0.69601822 0.688119 0.69206873 0.009347308        
94 0.94 8.79 0.68811924 0.680133 0.68412601 0.009240031        
95 0.95 8.75 0.68013279 0.672062 0.67609736 0.009131594        
96 0.96 8.70 0.67206194 0.66391 0.66798594 0.009022038        
97 0.97 8.66 0.66390993 0.65568 0.65979501 0.008911409        
98 0.98 8.62 0.65568010 0.647376 0.65152799 0.008799751        
99 0.99 8.58 0.64737588 0.639001 0.64318835 0.008687114        
100 1.00 8.53 0.63900082 0.630559 0.63477971 0.008573544        
101 1.01 8.49 0.63055860 0.622053 0.62630577 0.008459092        
102 1.02 8.45 0.62205294 0.613488 0.61777033 0.008343809        
103 1.03 8.41 0.61348771 0.604867 0.60917727 0.008227749        
104 1.04 8.36 0.60486683 0.596194 0.60053057 0.008110963        
105 1.05 8.32 0.59619431 0.587474 0.59183427 0.007993508        
106 1.06 8.28 0.58747424 0.578711 0.58309251 0.007875439        
107 1.07 8.23 0.57871078 0.569908 0.57430947 0.007756813        
108 1.08 8.19 0.56990816 0.561071 0.5654894 0.007637686        
109 1.09 8.15 0.56107065 0.552203 0.55663662 0.007518117        
110 1.10 8.11 0.55220259 0.543308 0.54775547 0.007398166        
111 1.11 8.06 0.54330836 0.534392 0.53885037 0.00727789        
112 1.12 8.02 0.53439237 0.525459 0.52992573 0.007157351        
113 1.13 7.98 0.52545908 0.516513 0.52098602 0.007036609        
114 1.14 7.94 0.51651296 0.507558 0.51203572 0.006915723        
115 1.15 7.89 0.50755849 0.4986 0.50307934 0.006794755        
116 1.16 7.85 0.49860020 0.489643 0.49412141 0.006673766        
117 1.17 7.81 0.48964261 0.48069 0.48516644 0.006552818        
118 1.18 7.77 0.48069027 0.471748 0.47621898 0.00643197        
119 1.19 7.72 0.47174768 0.462819 0.4672835 0.006311285        
120 1.20 7.68 0.46281931 0.45391 0.45836448 0.006190822        
121 1.21 7.64 0.45390965 0.445023 0.44946639 0.006070641        
122 1.22 7.59 0.44502312 0.436164 0.44059363 0.005950803        
123 1.23 7.55 0.43616414 0.427337 0.43175061 0.005831366        
124 1.24 7.51 0.42733707 0.418546 0.42294165 0.005712389        
125 1.25 7.47 0.41854623 0.409796 0.41417106 0.005593931        
126 1.26 7.42 0.40979588 0.40109 0.40544306 0.005476047        
127 1.27 7.38 0.40109023 0.392433 0.39676182 0.005358796        
128 1.28 7.34 0.39243341 0.383829 0.38813145 0.005242231        
129 1.29 7.30 0.38382949 0.375282 0.37955597 0.005126408        
130 1.30 7.25 0.37528246 0.366796 0.37103934 0.005011379        
131 1.31 7.21 0.36679622 0.358375 0.3625854 0.004897198        
132 1.32 7.17 0.35837458 0.350021 0.35419793 0.004783914        
133 1.33 7.13 0.35002128 0.34174 0.3458806 0.004671577        
134 1.34 7.08 0.34173993 0.333534 0.33763699 0.004560236        
135 1.35 7.04 0.33353404 0.325407 0.32947055 0.004449938        
136 1.36 7.00 0.32540705 0.317362 0.32138464 0.004340727        
137 1.37 6.95 0.31736223 0.309403 0.31338251 0.004232647        
138 1.38 6.91 0.30940279 0.301532 0.30546728 0.004125742        
139 1.39 6.87 0.30153177 0.293752 0.29764195 0.00402005        
140 1.40 6.83 0.29375213 0.286067 0.2899094 0.003915612        
141 1.41 6.78 0.28606668 0.278478 0.28227239 0.003812464        
142 1.42 6.74 0.27847810 0.270989 0.27473353 0.003710641        
143 1.43 6.70 0.27098896 0.263602 0.26729532 0.003610179        
144 1.44 6.66 0.26360167 0.256319 0.2599601 0.003511107        
145 1.45 6.61 0.25631853 0.249142 0.25273011 0.003413456        
146 1.46 6.57 0.24914169 0.242073 0.24560742 0.003317255        
147 1.47 6.53 0.24207315 0.235115 0.23859398 0.003222529        
148 1.48 6.49 0.23511481 0.228268 0.23169159 0.003129303        
149 1.49 6.44 0.22826838 0.221535 0.22490193 0.003037599        
150 1.50 6.40 0.22153547 0.214918 0.2182265 0.002947439        
151 1.51 6.36 0.21491754 0.208416 0.21166671 0.00285884        
152 1.52 6.31 0.20841589 0.202032 0.2052238 0.00277182        
153 1.53 6.27 0.20203171 0.195766 0.19889887 0.002686394        
154 1.54 6.23 0.19576603 0.18962 0.19269289 0.002602574        
155 1.55 6.19 0.18961975 0.183594 0.1866067 0.002520371        
156 1.56 6.14 0.18359364 0.177688 0.18064099 0.002439797        
157 1.57 6.10 0.17768833 0.171904 0.17479632 0.002360857        
158 1.58 6.06 0.17190432 0.166242 0.16907313 0.002283557        
159 1.59 6.02 0.16624195 0.160701 0.16347172 0.002207903        
160 1.60 5.97 0.16070148 0.155283 0.15799225 0.002133895        
161 1.61 5.93 0.15528302 0.149987 0.15263478 0.002061536        
162 1.62 5.89 0.14998653 0.144812 0.14739922 0.001990822        
163 1.63 5.85 0.14481190 0.139759 0.14228538 0.001921753        
164 1.64 5.80 0.13975887 0.134827 0.13729296 0.001854324        
165 1.65 5.76 0.13482705 0.130016 0.13242152 0.001788529        
166 1.66 5.72 0.13001599 0.125325 0.12767053 0.00172436        
167 1.67 5.67 0.12532507 0.120754 0.12303934 0.00166181        
168 1.68 5.63 0.12075361 0.116301 0.11852722 0.001600868        
169 1.69 5.59 0.11630082 0.111966 0.11413331 0.001541522        
170 1.70 5.55 0.11196579 0.107748 0.10985667 0.00148376        
171 1.71 5.50 0.10774755 0.103645 0.10569628 0.001427569        
172 1.72 5.46 0.10364501 0.099657 0.10165101 0.001372932        
173 1.73 5.42 0.09965701 0.095782 0.09771966 0.001319834        
174 1.74 5.38 0.09578231 0.09202 0.09390095 0.001268257        
175 1.75 5.33 0.09201959 0.088367 0.09019352 0.001218183        
176 1.76 5.29 0.08836745 0.084824 0.08659594 0.001169593        
177 1.77 5.25 0.08482443 0.081389 0.08310672 0.001122467        
178 1.78 5.21 0.08138900 0.07806 0.07972429 0.001076783        
179 1.79 5.16 0.07805958 0.074835 0.07644705 0.001032519        
180 1.80 5.12 0.07483452 0.071712 0.07327332 0.000989654        
181 1.81 5.08 0.07171213 0.068691 0.07020139 0.000948163        
182 1.82 5.03 0.06869065 0.065768 0.06722948 0.000908023        
183 1.83 4.99 0.06576831 0.062943 0.06435579 0.00086921        
184 1.84 4.95 0.06294327 0.060214 0.06157847 0.000831699        
185 1.85 4.91 0.06021367 0.057578 0.05889565 0.000795464        
186 1.86 4.86 0.05757763 0.055033 0.05630541 0.000760479        
187 1.87 4.82 0.05503320 0.052578 0.05380583 0.000726719        
188 1.88 4.78 0.05257845 0.050211 0.05139494 0.000694157        
189 1.89 4.74 0.05021142 0.04793 0.04907077 0.000662766        
190 1.90 4.69 0.04793011 0.045733 0.04683132 0.000632519        
191 1.91 4.65 0.04573254 0.043617 0.04467461 0.00060339        
192 1.92 4.61 0.04361668 0.041581 0.04259862 0.000575351        
193 1.93 4.57 0.04158055 0.039622 0.04060133 0.000548375        
194 1.94 4.52 0.03962211 0.037739 0.03868073 0.000522435        
195 1.95 4.48 0.03773935 0.03593 0.03683481 0.000497503        
196 1.96 4.44 0.03593027 0.034193 0.03506155 0.000473553        
197 1.97 4.39 0.03419284 0.032525 0.03335897 0.000450557        
198 1.98 4.35 0.03252509 0.030925 0.03172505 0.000428489        
199 1.99 4.31 0.03092501 0.029391 0.03015783 0.000407322        
200 2.00 4.27 0.02939065 0.02792 0.02865534 0.000387028        
201 2.01 4.22 0.02792003 0.026511 0.02721563 0.000367583        
202 2.02 4.18 0.02651123 0.025162 0.02583678 0.00034896        
203 2.03 4.14 0.02516232 0.023871 0.02451687 0.000331133        
204 2.04 4.10 0.02387141 0.022637 0.02325403 0.000314077        
205 2.05 4.05 0.02263664 0.021456 0.02204639 0.000297766        
206 2.06 4.01 0.02145614 0.020328 0.02089213 0.000282176        
207 2.07 3.97 0.02032811 0.019251 0.01978944 0.000267283        
208 2.08 3.93 0.01925076 0.018222 0.01873655 0.000253062        
209 2.09 3.88 0.01822233 0.017241 0.01773171 0.00023949        
210 2.10 3.84 0.01724110 0.016305 0.01677323 0.000226545        
211 2.11 3.80 0.01630536 0.015413 0.01585941 0.000214202        
212 2.12 3.75 0.01541346 0.014564 0.01498862 0.000202441        
213 2.13 3.71 0.01456378 0.013755 0.01415925 0.00019124        
214 2.14 3.67 0.01375472 0.012985 0.01336973 0.000180576        
215 2.15 3.63 0.01298474 0.012252 0.01261852 0.00017043        
216 2.16 3.58 0.01225230 0.011556 0.01190412 0.000160781        
217 2.17 3.54 0.01155594 0.010894 0.01122508 0.00015161        
218 2.18 3.50 0.01089421 0.010266 0.01057996 0.000142896        
219 2.19 3.46 0.01026571 0.009669 0.00996738 0.000134623        
220 2.20 3.41 0.00966906 0.009103 0.009386 0.00012677        
221 2.21 3.37 0.00910294 0.008566 0.0088345 0.000119322        
222 2.22 3.33 0.00856606 0.008057 0.00831161 0.000112259        
223 2.23 3.29 0.00805716 0.007575 0.00781609 0.000105567        
224 2.24 3.24 0.00757503 0.007118 0.00734676 9.92278E-05        
225 2.25 3.20 0.00711849 0.006686 0.00690245 9.32267E-05        
226 2.26 3.16 0.00668640 0.006278 0.00648203 8.75484E-05        
227 2.27 3.11 0.00627766 0.005891 0.00608443 8.21783E-05        
228 2.28 3.07 0.00589120 0.005526 0.00570859 7.71021E-05        
229 2.29 3.03 0.00552599 0.005181 0.00535351 7.23063E-05        
230 2.30 2.99 0.00518103 0.004855 0.0050182 6.77775E-05        
231 2.31 2.94 0.00485537 0.004548 0.00470173 6.35031E-05        
232 2.32 2.90 0.00454808 0.004258 0.00440318 5.94708E-05        
233 2.33 2.86 0.00425828 0.003985 0.00412169 5.56689E-05        
234 2.34 2.82 0.00398510 0.003728 0.00385641 5.20859E-05        
235 2.35 2.77 0.00372772 0.003485 0.00360653 4.8711E-05        
236 2.36 2.73 0.00348535 0.003257 0.00337129 4.55337E-05        
237 2.37 2.69 0.00325723 0.003043 0.00314993 4.25439E-05        
238 2.38 2.65 0.00304263 0.002841 0.00294173 3.9732E-05        
239 2.39 2.60 0.00284084 0.002651 0.00274603 3.70888E-05        
240 2.40 2.56 0.00265121 0.002473 0.00256215 3.46052E-05        
241 2.41 2.52 0.00247309 0.002306 0.00238947 3.2273E-05        
242 2.42 2.47 0.00230586 0.002149 0.0022274 3.0084E-05        
243 2.43 2.43 0.00214894 0.002002 0.00207535 2.80303E-05        
244 2.44 2.39 0.00200176 0.001864 0.00193278 2.61047E-05        
245 2.45 2.35 0.00186379 0.001735 0.00179916 2.43E-05        
246 2.46 2.30 0.00173452 0.001613 0.001674 2.26096E-05        
247 2.47 2.26 0.00161347 0.0015 0.00155681 2.10268E-05        
248 2.48 2.22 0.00150016 0.001394 0.00144716 1.95458E-05        
249 2.49 2.18 0.00139416 0.001295 0.0013446 1.81605E-05        
250 2.50 2.13 0.00129503 0.001202 0.00124872 1.68656E-05        
251 2.51 2.09 0.00120240 0.001116 0.00115913 1.56556E-05        
252 2.52 2.05 0.00111586 0.001035 0.00107547 1.45256E-05        
253 2.53 2.01 0.00103507 0.00096 0.00099737 1.34709E-05        
254 2.54 1.96 0.00095968 0.000889 0.00092452 1.24868E-05        
255 2.55 1.92 0.00088936 0.000824 0.00085658 1.15693E-05        
256 2.56 1.88 0.00082380 0.000763 0.00079326 1.07141E-05        
257 2.57 1.83 0.00076272 0.000706 0.00073428 9.9174E-06        
258 2.58 1.79 0.00070583 0.000653 0.00067936 9.17565E-06        
259 2.59 1.75 0.00065288 0.000604 0.00062825 8.48539E-06        
260 2.60 1.71 0.00060362 0.000558 0.00058072 7.84334E-06        
261 2.61 1.66 0.00055781 0.000515 0.00053652 7.24646E-06        
262 2.62 1.62 0.00051524 0.000476 0.00049546 6.69184E-06        
263 2.63 1.58 0.00047568 0.000439 0.00045732 6.17675E-06        
264 2.64 1.54 0.00043896 0.000405 0.00042192 5.69861E-06        
265 2.65 1.49 0.00040488 0.000373 0.00038908 5.25499E-06        
266 2.66 1.45 0.00037327 0.000344 0.00035862 4.84361E-06        
267 2.67 1.41 0.00034397 0.000317 0.00033039 4.46233E-06        
268 2.68 1.37 0.00031681 0.000292 0.00030424 4.10911E-06        
269 2.69 1.32 0.00029166 0.000268 0.00028002 3.78205E-06        
270 2.70 1.28 0.00026838 0.000247 0.00025761 3.47937E-06        
271 2.71 1.24 0.00024684 0.000227 0.00023688 3.1994E-06        
272 2.72 1.19 0.00022692 0.000209 0.00021772 2.94056E-06        
273 2.73 1.15 0.00020851 0.000192 0.00020001 2.70137E-06        
274 2.74 1.11 0.00019150 0.000176 0.00018365 2.48046E-06        
275 2.75 1.07 0.00017580 0.000161 0.00016855 2.27654E-06        
276 2.76 1.02 0.00016131 0.000148 0.00015462 2.08838E-06        
277 2.77 0.98 0.00014794 0.000136 0.00014177 1.91486E-06        
278 2.78 0.94 0.00013561 0.000124 0.00012993 1.75492E-06        
279 2.79 0.90 0.00012425 0.000114 0.00011902 1.60757E-06        
280 2.80 0.85 0.00011379 0.000104 0.00010898 1.4719E-06        
281 2.81 0.81 0.00010416 9.53E-05 9.9733E-05 1.34703E-06        
282 2.82 0.77 0.00009530 8.72E-05 9.1229E-05 1.23216E-06        
283 2.83 0.73 0.00008715 7.97E-05 8.3409E-05 1.12655E-06        
284 2.84 0.68 0.00007966 7.28E-05 7.6224E-05 1.0295E-06        
285 2.85 0.64 0.00007278 6.65E-05 6.9624E-05 9.40366E-07        
286 2.86 0.60 0.00006646 6.07E-05 6.3565E-05 8.58535E-07        
287 2.87 0.55 0.00006067 5.53E-05 5.8006E-05 7.83449E-07        
288 2.88 0.51 0.00005535 5.05E-05 5.2908E-05 7.14588E-07        
289 2.89 0.47 0.00005047 4.6E-05 4.8234E-05 6.51467E-07        
290 2.90 0.43 0.00004600 4.19E-05 4.3953E-05 5.93637E-07        
291 2.91 0.38 0.00004191 3.82E-05 4.0032E-05 5.40681E-07        
292 2.92 0.34 0.00003816 3.47E-05 3.6443E-05 4.92213E-07        
293 2.93 0.30 0.00003473 3.16E-05 3.316E-05 4.47875E-07        
294 2.94 0.26 0.00003159 2.87E-05 3.0159E-05 4.07335E-07        
295 2.95 0.21 0.00002873 2.61E-05 2.7416E-05 3.70286E-07        
296 2.96 0.17 0.00002611 2.37E-05 2.491E-05 3.36446E-07        
297 2.97 0.13 0.00002371 2.15E-05 2.2623E-05 3.05551E-07        
298 2.98 0.09 0.00002153 1.95E-05 2.0536E-05 2.7736E-07        
299 2.99 0.04 0.00001954 1.77E-05 1.8632E-05 2.51648E-07        
300 3.00 0.00 0.00001772 1.61E-05 1.6897E-05 2.28211E-07        
        SUM   1.552057098        

 

FHWA-HRT-05-138

ResearchFHWA
FHWA
United States Department of Transportation - Federal Highway Administration