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

Shared-Use Path Level of Service Calculator

Active Runner

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
                     
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 15.54 vph   K=   2.390769231 vpm      
MU 6.50 mph   N=   7 veh      
SIGMA 1.20 mph                
U= 12.8 mph                
X= 3 miles   ACTIVE PASSINGS TOTALS= 3.53   PER HOUR= 15.06
BETA 1 (<= 1.0) STANDARD DEVIATION= 1.88     1
        DETERMINISTIC (FOR MU <<<< U)= 3.53      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99999992 1 0.99999992 0.02390769        
2 0.02 12.71 0.999999908 1 0.9999999 0.02390769        
3 0.03 12.67 0.999999888 1 0.99999988 0.023907689        
4 0.04 12.63 0.999999865 1 0.99999985 0.023907689        
5 0.05 12.59 0.999999837 1 0.99999982 0.023907688        
6 0.06 12.54 0.999999803 1 0.99999978 0.023907687        
7 0.07 12.50 0.999999763 1 0.99999974 0.023907686        
8 0.08 12.46 0.999999715 1 0.99999969 0.023907685        
9 0.09 12.42 0.999999657 1 0.99999962 0.023907683        
10 0.1 12.37 0.999999588 1 0.99999955 0.023907681        
11 0.11 12.33 0.999999506 0.999999 0.99999946 0.023907679        
12 0.12 12.29 0.999999409 0.999999 0.99999935 0.023907677        
13 0.13 12.25 0.999999293 0.999999 0.99999922 0.023907674        
14 0.14 12.20 0.999999156 0.999999 0.99999907 0.02390767        
15 0.15 12.16 0.999998993 0.999999 0.9999989 0.023907666        
16 0.16 12.12 0.9999988 0.999999 0.99999869 0.023907661        
17 0.17 12.07 0.999998572 0.999998 0.99999844 0.023907655        
18 0.18 12.03 0.999998302 0.999998 0.99999814 0.023907648        
19 0.19 11.99 0.999997985 0.999998 0.9999978 0.02390764        
20 0.2 11.95 0.99999761 0.999997 0.99999739 0.02390763        
21 0.21 11.90 0.99999717 0.999997 0.99999691 0.023907618        
22 0.22 11.86 0.999996652 0.999996 0.99999635 0.023907605        
23 0.23 11.82 0.999996045 0.999995 0.99999569 0.023907589        
24 0.24 11.78 0.999995333 0.999994 0.99999492 0.023907571        
25 0.25 11.73 0.999994499 0.999994 0.99999401 0.023907549        
26 0.26 11.69 0.999993525 0.999992 0.99999296 0.023907524        
27 0.27 11.65 0.999992387 0.999991 0.99999172 0.023907494        
28 0.28 11.61 0.99999106 0.99999 0.99999029 0.02390746        
29 0.29 11.56 0.999989515 0.999988 0.99998862 0.02390742        
30 0.3 11.52 0.999987717 0.999986 0.99998667 0.023907374        
31 0.31 11.48 0.999985628 0.999983 0.99998442 0.02390732        
32 0.32 11.43 0.999983204 0.99998 0.9999818 0.023907257        
33 0.33 11.39 0.999980396 0.999977 0.99997877 0.023907185        
34 0.34 11.35 0.999977145 0.999973 0.99997527 0.023907101        
35 0.35 11.31 0.999973388 0.999969 0.99997122 0.023907004        
36 0.36 11.26 0.999969049 0.999964 0.99996655 0.023906893        
37 0.37 11.22 0.999964048 0.999958 0.99996117 0.023906764        
38 0.38 11.18 0.999958288 0.999952 0.99995498 0.023906616        
39 0.39 11.14 0.999951663 0.999944 0.99994786 0.023906446        
40 0.4 11.09 0.999944054 0.999935 0.99993969 0.02390625        
41 0.41 11.05 0.999935324 0.999925 0.99993032 0.023906027        
42 0.42 11.01 0.999925323 0.999914 0.9999196 0.02390577        
43 0.43 10.97 0.999913877 0.999901 0.99990734 0.023905477        
44 0.44 10.92 0.999900797 0.999886 0.99989333 0.023905142        
45 0.45 10.88 0.999885867 0.999869 0.99987736 0.02390476        
46 0.46 10.84 0.999868846 0.999849 0.99985916 0.023904325        
47 0.47 10.79 0.999849468 0.999827 0.99983845 0.02390383        
48 0.48 10.75 0.999827432 0.999802 0.99981492 0.023903267        
49 0.49 10.71 0.999802407 0.999774 0.99978822 0.023902629        
50 0.5 10.67 0.999774023 0.999742 0.99975795 0.023901905        
51 0.51 10.62 0.999741869 0.999705 0.99972368 0.023901086        
52 0.52 10.58 0.999705491 0.999664 0.99968494 0.02390016        
53 0.53 10.54 0.999664386 0.999618 0.99964119 0.023899114        
54 0.54 10.50 0.999617998 0.999566 0.99959186 0.023897935        
55 0.55 10.45 0.999565714 0.999507 0.99953629 0.023896606        
56 0.56 10.41 0.999506859 0.999441 0.99947378 0.023895111        
57 0.57 10.37 0.999440692 0.999366 0.99940354 0.023893432        
58 0.58 10.33 0.999366397 0.999283 0.99932474 0.023891548        
59 0.59 10.28 0.999283082 0.99919 0.99923643 0.023889437        
60 0.6 10.24 0.999189769 0.999085 0.99913758 0.023887074        
61 0.61 10.20 0.999085391 0.998969 0.99902709 0.023884432        
62 0.62 10.15 0.998968783 0.998839 0.99890373 0.023881483        
63 0.63 10.11 0.998838677 0.998694 0.99876618 0.023878195        
64 0.64 10.07 0.998693692 0.998532 0.99861301 0.023874533        
65 0.65 10.03 0.998532333 0.998353 0.99844265 0.02387046        
66 0.66 9.98 0.998352976 0.998154 0.99825342 0.023865936        
67 0.67 9.94 0.998153866 0.997933 0.99804349 0.023860917        
68 0.68 9.90 0.997933106 0.997689 0.99781088 0.023855355        
69 0.69 9.86 0.997688652 0.997418 0.99755348 0.023849202        
70 0.7 9.81 0.997418301 0.99712 0.997269 0.0238424        
71 0.71 9.77 0.99711969 0.99679 0.99695498 0.023834893        
72 0.72 9.73 0.996790279 0.996427 0.99660882 0.023826617        
73 0.73 9.69 0.996427351 0.996028 0.99622768 0.023817505        
74 0.74 9.64 0.996028001 0.995589 0.99580857 0.023807485        
75 0.75 9.60 0.995589129 0.995107 0.99534828 0.02379648        
76 0.76 9.56 0.995107433 0.994579 0.99484342 0.02378441        
77 0.77 9.51 0.994579401 0.994001 0.99429035 0.023771188        
78 0.78 9.47 0.994001307 0.993369 0.99368526 0.023756721        
79 0.79 9.43 0.993369206 0.992679 0.99302406 0.023740914        
80 0.8 9.39 0.992678924 0.991926 0.99230249 0.023723663        
81 0.81 9.34 0.991926058 0.991106 0.99151601 0.02370486        
82 0.82 9.30 0.991105971 0.990214 0.99065988 0.023684392        
83 0.83 9.26 0.990213791 0.989244 0.9897291 0.023662139        
84 0.84 9.22 0.989244404 0.988192 0.98871843 0.023637976        
85 0.85 9.17 0.988192462 0.987052 0.98762242 0.023611773        
86 0.86 9.13 0.987052375 0.985818 0.98643535 0.023583393        
87 0.87 9.09 0.985818318 0.984484 0.98515128 0.023552694        
88 0.88 9.05 0.984484233 0.983044 0.98376403 0.023519528        
89 0.89 9.00 0.983043834 0.981491 0.98226722 0.023483743        
90 0.9 8.96 0.981490614 0.979818 0.98065423 0.02344518        
91 0.91 8.92 0.979817852 0.978019 0.97891824 0.023403676        
92 0.92 8.87 0.978018623 0.976086 0.97705222 0.023359064        
93 0.93 8.83 0.976085811 0.974012 0.97504897 0.023311171        
94 0.94 8.79 0.974012121 0.97179 0.97290111 0.02325982        
95 0.95 8.75 0.971790095 0.969412 0.97060111 0.023204833        
96 0.96 8.70 0.969412131 0.966871 0.96814132 0.023146025        
97 0.97 8.66 0.9668705 0.964157 0.96551393 0.02308321        
98 0.98 8.62 0.964157369 0.961265 0.9627111 0.023016201        
99 0.99 8.58 0.961264826 0.958185 0.95972486 0.022944807        
100 1 8.53 0.958184901 0.95491 0.95654725 0.022868837        
101 1.01 8.49 0.954909599 0.951431 0.95317026 0.022788101        
102 1.02 8.45 0.951430928 0.947741 0.94958593 0.022702408        
103 1.03 8.41 0.947740925 0.943832 0.94578631 0.022611568        
104 1.04 8.36 0.943831699 0.939695 0.94176358 0.022515394        
105 1.05 8.32 0.939695457 0.935325 0.93751 0.022413701        
106 1.06 8.28 0.935324545 0.930711 0.93301801 0.022306308        
107 1.07 8.23 0.930711483 0.925849 0.92828025 0.022193038        
108 1.08 8.19 0.925849008 0.92073 0.92328956 0.022073723        
109 1.09 8.15 0.920730109 0.915348 0.91803909 0.021948196        
110 1.1 8.11 0.91534807 0.909697 0.91252229 0.021816302        
111 1.11 8.06 0.909696515 0.903769 0.90673298 0.021677893        
112 1.12 8.02 0.903769442 0.897561 0.90066536 0.02153283        
113 1.13 7.98 0.897561274 0.891067 0.89431408 0.021380986        
114 1.14 7.94 0.891066893 0.884282 0.88767429 0.021222244        
115 1.15 7.89 0.884281687 0.877202 0.88074164 0.0210565        
116 1.16 7.85 0.877201586 0.869823 0.87351235 0.020883664        
117 1.17 7.81 0.869823108 0.862143 0.86598325 0.020703661        
118 1.18 7.77 0.86214339 0.85416 0.85815181 0.020516429        
119 1.19 7.72 0.854160232 0.845872 0.85001618 0.020321925        
120 1.2 7.68 0.845872127 0.837278 0.84157521 0.020120121        
121 1.21 7.64 0.837278296 0.828379 0.83282851 0.019911008        
122 1.22 7.59 0.828378717 0.819174 0.82377644 0.019694594        
123 1.23 7.55 0.819174155 0.809666 0.81442017 0.019470907        
124 1.24 7.51 0.809666184 0.799857 0.8047617 0.019239995        
125 1.25 7.47 0.799857208 0.78975 0.79480385 0.019001926        
126 1.26 7.42 0.789750483 0.77935 0.7845503 0.018756787        
127 1.27 7.38 0.779350124 0.768661 0.77400562 0.018504688        
128 1.28 7.34 0.76866112 0.757689 0.76317523 0.018245759        
129 1.29 7.30 0.757689338 0.746442 0.75206543 0.017980149        
130 1.3 7.25 0.746441523 0.734925 0.74068341 0.017708031        
131 1.31 7.21 0.734925299 0.723149 0.72903723 0.017429598        
132 1.32 7.17 0.723149155 0.711122 0.7171358 0.017145062        
133 1.33 7.13 0.711122437 0.698855 0.70498888 0.016854657        
134 1.34 7.08 0.698855332 0.686359 0.69260709 0.016558637        
135 1.35 7.04 0.686358841 0.673645 0.6800018 0.016257274        
136 1.36 7.00 0.673644759 0.660726 0.6671852 0.015950858        
137 1.37 6.95 0.660725639 0.647615 0.6541702 0.0156397        
138 1.38 6.91 0.647614759 0.634326 0.64097042 0.015324124        
139 1.39 6.87 0.634326084 0.620874 0.62760015 0.015004471        
140 1.4 6.83 0.620874219 0.607274 0.61407429 0.014681099        
141 1.41 6.78 0.607274362 0.593542 0.60040831 0.014354377        
142 1.42 6.74 0.593542256 0.579694 0.58661819 0.014024687        
143 1.43 6.70 0.57969413 0.565747 0.57272039 0.013692423        
144 1.44 6.66 0.565746643 0.551717 0.55873173 0.013357986        
145 1.45 6.61 0.551716823 0.537622 0.54466941 0.013021789        
146 1.46 6.57 0.537622005 0.52348 0.53055089 0.012684247        
147 1.47 6.53 0.523479766 0.509308 0.51639381 0.012345784        
148 1.48 6.49 0.509307854 0.495124 0.50221599 0.012006825        
149 1.49 6.44 0.495124133 0.480947 0.48803537 0.011667799        
150 1.5 6.40 0.480946607 0.466793 0.47386989 0.011329136        
151 1.51 6.36 0.466793182 0.452682 0.45973741 0.010991261        
152 1.52 6.31 0.452681647 0.43863 0.44565564 0.010654598        
153 1.53 6.27 0.438629641 0.424655 0.43164211 0.010319567        
154 1.54 6.23 0.42465458 0.410774 0.41771409 0.00998658        
155 1.55 6.19 0.410773595 0.397003 0.40388853 0.009656043        
156 1.56 6.14 0.397003468 0.383361 0.39018202 0.009328352        
157 1.57 6.10 0.383360568 0.369861 0.37661068 0.009003892        
158 1.58 6.06 0.369860797 0.35652 0.36319016 0.008683039        
159 1.59 6.02 0.356519527 0.343352 0.34993554 0.008366151        
160 1.6 5.97 0.343351555 0.330371 0.3368613 0.008053576        
161 1.61 5.93 0.330371051 0.317592 0.32398128 0.007745645        
162 1.62 5.89 0.317591511 0.305026 0.31130862 0.007442671        
163 1.63 5.85 0.305025719 0.292686 0.29885572 0.00714495        
164 1.64 5.80 0.292685711 0.280583 0.28663423 0.006852763        
165 1.65 5.76 0.28058274 0.268727 0.27465499 0.006566367        
166 1.66 5.72 0.268727248 0.257129 0.26292805 0.006286003        
167 1.67 5.67 0.257128846 0.245796 0.25146257 0.00601189        
168 1.68 5.63 0.245796293 0.234737 0.24026689 0.005744227        
169 1.69 5.59 0.234737485 0.223959 0.22934846 0.005483192        
170 1.7 5.55 0.223959441 0.213468 0.21871387 0.005228944        
171 1.71 5.50 0.213468304 0.203269 0.20836882 0.004981618        
172 1.72 5.46 0.203269335 0.193367 0.19831813 0.004741329        
173 1.73 5.42 0.193366923 0.183765 0.18856576 0.004508172        
174 1.74 5.38 0.18376459 0.174465 0.1791148 0.004282221        
175 1.75 5.33 0.174465004 0.16547 0.1699675 0.004063531        
176 1.76 5.29 0.165469999 0.156781 0.16112529 0.003852134        
177 1.77 5.25 0.156780587 0.148397 0.15258879 0.003648046        
178 1.78 5.21 0.148396991 0.140319 0.14435783 0.003451263        
179 1.79 5.16 0.140318665 0.132544 0.1364315 0.003261762        
180 1.8 5.12 0.132544327 0.125072 0.12880816 0.003079506        
181 1.81 5.08 0.125071989 0.117899 0.12148549 0.002904438        
182 1.82 5.03 0.117898991 0.111022 0.11446052 0.002736487        
183 1.83 4.99 0.11102204 0.104437 0.10772964 0.002575567        
184 1.84 4.95 0.104437247 0.09814 0.10128871 0.002421579        
185 1.85 4.91 0.098140164 0.092126 0.095133 0.00227441        
186 1.86 4.86 0.092125828 0.086389 0.08925731 0.002133936        
187 1.87 4.82 0.086388799 0.080923 0.083656 0.002000022        
188 1.88 4.78 0.080923205 0.075723 0.07832299 0.001872522        
189 1.89 4.74 0.075722781 0.070781 0.07325185 0.001751283        
190 1.9 4.69 0.070780913 0.066091 0.0684358 0.001636142        
191 1.91 4.65 0.066090678 0.061645 0.06386778 0.001526931        
192 1.92 4.61 0.061644889 0.057436 0.05954051 0.001423476        
193 1.93 4.57 0.057436127 0.053457 0.05544646 0.001325597        
194 1.94 4.52 0.05345679 0.049699 0.05157796 0.00123311        
195 1.95 4.48 0.049699124 0.046155 0.04792719 0.001145829        
196 1.96 4.44 0.046155264 0.042817 0.04448627 0.001063564        
197 1.97 4.39 0.042817267 0.039677 0.04124721 0.000986126        
198 1.98 4.35 0.039677146 0.036727 0.03820203 0.000913322        
199 1.99 4.31 0.036726904 0.033959 0.03534273 0.000844963        
200 2 4.27 0.03395856 0.031364 0.03266137 0.000780858        
201 2.01 4.22 0.031364181 0.028936 0.03015004 0.000720818        
202 2.02 4.18 0.028935906 0.026666 0.02780094 0.000664656        
203 2.03 4.14 0.026665973 0.024547 0.02560635 0.000612189        
204 2.04 4.10 0.024546736 0.022571 0.02355871 0.000563234        
205 2.05 4.05 0.022570691 0.02073 0.02165059 0.000517616        
206 2.06 4.01 0.020730491 0.019019 0.01987473 0.000475159        
207 2.07 3.97 0.019018961 0.017429 0.01822404 0.000435695        
208 2.08 3.93 0.017429116 0.015954 0.01669164 0.000399059        
209 2.09 3.88 0.01595417 0.014588 0.01527086 0.000365091        
210 2.1 3.84 0.014587548 0.013323 0.01395522 0.000333637        
211 2.11 3.80 0.013322894 0.012154 0.01273849 0.000304548        
212 2.12 3.75 0.012154077 0.011075 0.01161464 0.000277679        
213 2.13 3.71 0.011075201 0.010081 0.0105779 0.000252893        
214 2.14 3.67 0.010080602 0.009165 0.00962273 0.000230057        
215 2.15 3.63 0.009164855 0.008323 0.00874381 0.000209044        
216 2.16 3.58 0.008322774 0.007549 0.00793609 0.000189734        
217 2.17 3.54 0.007549411 0.00684 0.00719473 0.000172009        
218 2.18 3.50 0.006840055 0.00619 0.00651514 0.000155762        
219 2.19 3.46 0.006190231 0.005596 0.00589296 0.000140887        
220 2.2 3.41 0.005595695 0.005052 0.00532406 0.000127286        
221 2.21 3.37 0.005052429 0.004557 0.00480453 0.000114865        
222 2.22 3.33 0.00455664 0.004105 0.00433069 0.000103537        
223 2.23 3.29 0.00410475 0.003693 0.00389907 9.32178E-05        
224 2.24 3.24 0.003693391 0.003319 0.0035064 8.38299E-05        
225 2.25 3.20 0.003319403 0.00298 0.00314961 7.52999E-05        
226 2.26 3.16 0.002979819 0.002672 0.00282584 6.75593E-05        
227 2.27 3.11 0.002671863 0.002393 0.0025324 6.05439E-05        
228 2.28 3.07 0.002392943 0.002141 0.00226679 5.41938E-05        
229 2.29 3.03 0.00214064 0.001913 0.00202667 4.8453E-05        
230 2.3 2.99 0.001912703 0.001707 0.00180987 4.32698E-05        
231 2.31 2.94 0.001707038 0.001522 0.00161437 3.85959E-05        
232 2.32 2.90 0.001521703 0.001355 0.0014383 3.43865E-05        
233 2.33 2.86 0.0013549 0.001205 0.00127993 3.06002E-05        
234 2.34 2.82 0.001204965 0.00107 0.00113766 2.71989E-05        
235 2.35 2.77 0.001070363 0.00095 0.00101002 2.41472E-05        
236 2.36 2.73 0.000949678 0.000842 0.00089564 2.14127E-05        
237 2.37 2.69 0.000841608 0.000745 0.00079328 1.89655E-05        
238 2.38 2.65 0.000744956 0.000659 0.00070179 1.67782E-05        
239 2.39 2.60 0.000658626 0.000582 0.00062012 1.48256E-05        
240 2.4 2.56 0.000581612 0.000513 0.0005473 1.30848E-05        
241 2.41 2.52 0.000512996 0.000452 0.00048247 1.15347E-05        
242 2.42 2.47 0.000451939 0.000398 0.00042481 1.01562E-05        
243 2.43 2.43 0.000397677 0.00035 0.0003736 8.93183E-06        
244 2.44 2.39 0.000349515 0.000307 0.00032817 7.84575E-06        
245 2.45 2.35 0.000306821 0.000269 0.00028792 6.88355E-06        
246 2.46 2.30 0.000269022 0.000236 0.00025231 6.03217E-06        
247 2.47 2.26 0.0002356 0.000206 0.00022084 5.27981E-06        
248 2.48 2.22 0.000206083 0.00018 0.00019307 4.61578E-06        
249 2.49 2.18 0.00018005 0.000157 0.00016858 4.03046E-06        
250 2.5 2.13 0.000157118 0.000137 0.00014703 3.51516E-06        
251 2.51 2.09 0.000136943 0.000119 0.00012808 3.06208E-06        
252 2.52 2.05 0.000119216 0.000104 0.00011144 2.66422E-06        
253 2.53 2.01 0.000103659 9E-05 9.6842E-05 2.31527E-06        
254 2.54 1.96 9.00251E-05 7.81E-05 8.4058E-05 2.00963E-06        
255 2.55 1.92 7.80905E-05 6.77E-05 7.2874E-05 1.74224E-06        
256 2.56 1.88 6.76568E-05 5.85E-05 6.3102E-05 1.50862E-06        
257 2.57 1.83 5.85469E-05 5.06E-05 5.4575E-05 1.30476E-06        
258 2.58 1.79 5.06029E-05 4.37E-05 4.7144E-05 1.12709E-06        
259 2.59 1.75 4.36842E-05 3.77E-05 4.0675E-05 9.72449E-07        
260 2.6 1.71 3.76661E-05 3.24E-05 3.5052E-05 8.38015E-07        
261 2.61 1.66 3.24381E-05 2.79E-05 3.017E-05 7.21297E-07        
262 2.62 1.62 2.79021E-05 2.4E-05 2.5937E-05 6.20088E-07        
263 2.63 1.58 2.39714E-05 2.06E-05 2.2271E-05 5.32438E-07        
264 2.64 1.54 2.05697E-05 1.76E-05 1.91E-05 4.56627E-07        
265 2.65 1.49 1.76295E-05 1.51E-05 1.636E-05 3.91138E-07        
266 2.66 1.45 1.50912E-05 1.29E-05 1.3997E-05 3.34637E-07        
267 2.67 1.41 1.29029E-05 1.1E-05 1.1961E-05 2.85952E-07        
268 2.68 1.37 1.10185E-05 9.4E-06 1.0208E-05 2.44055E-07        
269 2.69 1.32 9.39797E-06 8.01E-06 8.702E-06 2.08045E-07        
270 2.7 1.28 8.00608E-06 6.81E-06 7.4091E-06 1.77134E-07        
271 2.71 1.24 6.81208E-06 5.79E-06 6.3006E-06 1.50633E-07        
272 2.72 1.19 5.78913E-06 4.91E-06 5.3515E-06 1.27942E-07        
273 2.73 1.15 4.91384E-06 4.17E-06 4.5398E-06 1.08537E-07        
274 2.74 1.11 4.16583E-06 3.53E-06 3.8466E-06 9.19638E-08        
275 2.75 1.07 3.52741E-06 2.98E-06 3.2553E-06 7.78268E-08        
276 2.76 1.02 2.9832E-06 2.52E-06 2.7515E-06 6.57831E-08        
277 2.77 0.98 2.51989E-06 2.13E-06 2.3229E-06 5.55356E-08        
278 2.78 0.94 2.12595E-06 1.79E-06 1.9587E-06 4.68276E-08        
279 2.79 0.90 1.79142E-06 1.51E-06 1.6496E-06 3.9437E-08        
280 2.8 0.85 1.50769E-06 1.27E-06 1.3875E-06 3.31724E-08        
281 2.81 0.81 1.26735E-06 1.06E-06 1.1657E-06 2.78691E-08        
282 2.82 0.77 1.06404E-06 8.92E-07 9.7814E-07 2.33851E-08        
283 2.83 0.73 8.92247E-07 7.47E-07 8.1976E-07 1.95987E-08        
284 2.84 0.68 7.47283E-07 6.25E-07 6.862E-07 1.64053E-08        
285 2.85 0.64 6.25108E-07 5.22E-07 5.7369E-07 1.37156E-08        
286 2.86 0.60 5.22271E-07 4.36E-07 4.7905E-07 1.14529E-08        
287 2.87 0.55 4.3582E-07 3.63E-07 3.9953E-07 9.55177E-09        
288 2.88 0.51 3.63235E-07 3.02E-07 3.328E-07 7.95653E-09        
289 2.89 0.47 3.02369E-07 2.51E-07 2.7688E-07 6.61962E-09        
290 2.9 0.43 2.51396E-07 2.09E-07 2.3008E-07 5.50063E-09        
291 2.91 0.38 2.0876E-07 1.73E-07 1.9095E-07 4.56521E-09        
292 2.92 0.34 1.73143E-07 1.43E-07 1.5829E-07 3.78423E-09        
293 2.93 0.30 1.43427E-07 1.19E-07 1.3105E-07 3.13303E-09        
294 2.94 0.26 1.18666E-07 9.81E-08 1.0836E-07 2.59071E-09        
295 2.95 0.21 9.806E-08 8.09E-08 8.9496E-08 2.13965E-09        
296 2.96 0.17 8.09327E-08 6.67E-08 7.3824E-08 1.76496E-09        
297 2.97 0.13 6.67152E-08 5.49E-08 6.0822E-08 1.4541E-09        
298 2.98 0.09 5.49279E-08 4.52E-08 5.0048E-08 1.19653E-09        
299 2.99 0.04 4.51678E-08 3.71E-08 4.1132E-08 9.83375E-10        
300 3 0.00 3.70965E-08 3.04E-08 3.3763E-08 8.07202E-10        
                     
        SUM   3.530120198        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 14.70 vph   K=   2.261538462 vpm      
MU 6.50 mph   N=   7 veh      
SIGMA 1.20 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 3.34   PER HOUR= 14.25
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 1.83     2
        DETERMINISTIC (FOR MU <<<< U)= 3.34      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99999992 1 0.99999992 0.022615383        
2 0.02 12.71 0.99999991 1 0.9999999 0.022615382        
3 0.03 12.67 0.99999989 1 0.99999988 0.022615382        
4 0.04 12.63 0.99999986 1 0.99999985 0.022615381        
5 0.05 12.59 0.99999984 1 0.99999982 0.022615381        
6 0.06 12.54 0.99999980 1 0.99999978 0.02261538        
7 0.07 12.50 0.99999976 1 0.99999974 0.022615379        
8 0.08 12.46 0.99999971 1 0.99999969 0.022615378        
9 0.09 12.42 0.99999966 1 0.99999962 0.022615376        
10 0.10 12.37 0.99999959 1 0.99999955 0.022615374        
11 0.11 12.33 0.99999951 0.999999 0.99999946 0.022615372        
12 0.12 12.29 0.99999941 0.999999 0.99999935 0.02261537        
13 0.13 12.25 0.99999929 0.999999 0.99999922 0.022615367        
14 0.14 12.20 0.99999916 0.999999 0.99999907 0.022615364        
15 0.15 12.16 0.99999899 0.999999 0.9999989 0.02261536        
16 0.16 12.12 0.99999880 0.999999 0.99999869 0.022615355        
17 0.17 12.07 0.99999857 0.999998 0.99999844 0.022615349        
18 0.18 12.03 0.99999830 0.999998 0.99999814 0.022615343        
19 0.19 11.99 0.99999798 0.999998 0.9999978 0.022615335        
20 0.20 11.95 0.99999761 0.999997 0.99999739 0.022615326        
21 0.21 11.90 0.99999717 0.999997 0.99999691 0.022615315        
22 0.22 11.86 0.99999665 0.999996 0.99999635 0.022615302        
23 0.23 11.82 0.99999604 0.999995 0.99999569 0.022615287        
24 0.24 11.78 0.99999533 0.999994 0.99999492 0.02261527        
25 0.25 11.73 0.99999450 0.999994 0.99999401 0.022615249        
26 0.26 11.69 0.99999352 0.999992 0.99999296 0.022615225        
27 0.27 11.65 0.99999239 0.999991 0.99999172 0.022615197        
28 0.28 11.61 0.99999106 0.99999 0.99999029 0.022615165        
29 0.29 11.56 0.99998951 0.999988 0.99998862 0.022615127        
30 0.30 11.52 0.99998772 0.999986 0.99998667 0.022615083        
31 0.31 11.48 0.99998563 0.999983 0.99998442 0.022615032        
32 0.32 11.43 0.99998320 0.99998 0.9999818 0.022614973        
33 0.33 11.39 0.99998040 0.999977 0.99997877 0.022614904        
34 0.34 11.35 0.99997715 0.999973 0.99997527 0.022614825        
35 0.35 11.31 0.99997339 0.999969 0.99997122 0.022614734        
36 0.36 11.26 0.99996905 0.999964 0.99996655 0.022614628        
37 0.37 11.22 0.99996405 0.999958 0.99996117 0.022614506        
38 0.38 11.18 0.99995829 0.999952 0.99995498 0.022614366        
39 0.39 11.14 0.99995166 0.999944 0.99994786 0.022614205        
40 0.40 11.09 0.99994405 0.999935 0.99993969 0.022614021        
41 0.41 11.05 0.99993532 0.999925 0.99993032 0.022613809        
42 0.42 11.01 0.99992532 0.999914 0.9999196 0.022613566        
43 0.43 10.97 0.99991388 0.999901 0.99990734 0.022613289        
44 0.44 10.92 0.99990080 0.999886 0.99989333 0.022612972        
45 0.45 10.88 0.99988587 0.999869 0.99987736 0.022612611        
46 0.46 10.84 0.99986885 0.999849 0.99985916 0.022612199        
47 0.47 10.79 0.99984947 0.999827 0.99983845 0.022611731        
48 0.48 10.75 0.99982743 0.999802 0.99981492 0.022611199        
49 0.49 10.71 0.99980241 0.999774 0.99978822 0.022610595        
50 0.50 10.67 0.99977402 0.999742 0.99975795 0.02260991        
51 0.51 10.62 0.99974187 0.999705 0.99972368 0.022609136        
52 0.52 10.58 0.99970549 0.999664 0.99968494 0.022608259        
53 0.53 10.54 0.99966439 0.999618 0.99964119 0.02260727        
54 0.54 10.50 0.99961800 0.999566 0.99959186 0.022606154        
55 0.55 10.45 0.99956571 0.999507 0.99953629 0.022604898        
56 0.56 10.41 0.99950686 0.999441 0.99947378 0.022603484        
57 0.57 10.37 0.99944069 0.999366 0.99940354 0.022601896        
58 0.58 10.33 0.99936640 0.999283 0.99932474 0.022600113        
59 0.59 10.28 0.99928308 0.99919 0.99923643 0.022598116        
60 0.60 10.24 0.99918977 0.999085 0.99913758 0.022595881        
61 0.61 10.20 0.99908539 0.998969 0.99902709 0.022593382        
62 0.62 10.15 0.99896878 0.998839 0.99890373 0.022590592        
63 0.63 10.11 0.99883868 0.998694 0.99876618 0.022587481        
64 0.64 10.07 0.99869369 0.998532 0.99861301 0.022584017        
65 0.65 10.03 0.99853233 0.998353 0.99844265 0.022580165        
66 0.66 9.98 0.99835298 0.998154 0.99825342 0.022575885        
67 0.67 9.94 0.99815387 0.997933 0.99804349 0.022571137        
68 0.68 9.90 0.99793311 0.997689 0.99781088 0.022565877        
69 0.69 9.86 0.99768865 0.997418 0.99755348 0.022560056        
70 0.70 9.81 0.99741830 0.99712 0.997269 0.022553622        
71 0.71 9.77 0.99711969 0.99679 0.99695498 0.02254652        
72 0.72 9.73 0.99679028 0.996427 0.99660882 0.022538692        
73 0.73 9.69 0.99642735 0.996028 0.99622768 0.022530072        
74 0.74 9.64 0.99602800 0.995589 0.99580857 0.022520594        
75 0.75 9.60 0.99558913 0.995107 0.99534828 0.022510184        
76 0.76 9.56 0.99510743 0.994579 0.99484342 0.022498766        
77 0.77 9.51 0.99457940 0.994001 0.99429035 0.022486259        
78 0.78 9.47 0.99400131 0.993369 0.99368526 0.022472574        
79 0.79 9.43 0.99336921 0.992679 0.99302406 0.022457621        
80 0.80 9.39 0.99267892 0.991926 0.99230249 0.022441302        
81 0.81 9.34 0.99192606 0.991106 0.99151601 0.022423516        
82 0.82 9.30 0.99110597 0.990214 0.99065988 0.022404154        
83 0.83 9.26 0.99021379 0.989244 0.9897291 0.022383104        
84 0.84 9.22 0.98924440 0.988192 0.98871843 0.022360248        
85 0.85 9.17 0.98819246 0.987052 0.98762242 0.022335461        
86 0.86 9.13 0.98705237 0.985818 0.98643535 0.022308615        
87 0.87 9.09 0.98581832 0.984484 0.98515128 0.022279575        
88 0.88 9.05 0.98448423 0.983044 0.98376403 0.022248202        
89 0.89 9.00 0.98304383 0.981491 0.98226722 0.022214351        
90 0.90 8.96 0.98149061 0.979818 0.98065423 0.022177873        
91 0.91 8.92 0.97981785 0.978019 0.97891824 0.022138612        
92 0.92 8.87 0.97801862 0.976086 0.97705222 0.022096412        
93 0.93 8.83 0.97608581 0.974012 0.97504897 0.022051107        
94 0.94 8.79 0.97401212 0.97179 0.97290111 0.022002533        
95 0.95 8.75 0.97179010 0.969412 0.97060111 0.021950517        
96 0.96 8.70 0.96941213 0.966871 0.96814132 0.021894888        
97 0.97 8.66 0.96687050 0.964157 0.96551393 0.021835469        
98 0.98 8.62 0.96415737 0.961265 0.9627111 0.021772082        
99 0.99 8.58 0.96126483 0.958185 0.95972486 0.021704547        
100 1.00 8.53 0.95818490 0.95491 0.95654725 0.021632684        
101 1.01 8.49 0.95490960 0.951431 0.95317026 0.021556312        
102 1.02 8.45 0.95143093 0.947741 0.94958593 0.021475251        
103 1.03 8.41 0.94774093 0.943832 0.94578631 0.021389321        
104 1.04 8.36 0.94383170 0.939695 0.94176358 0.021298346        
105 1.05 8.32 0.93969546 0.935325 0.93751 0.021202149        
106 1.06 8.28 0.93532455 0.930711 0.93301801 0.021100561        
107 1.07 8.23 0.93071148 0.925849 0.92828025 0.020993415        
108 1.08 8.19 0.92584901 0.92073 0.92328956 0.020880548        
109 1.09 8.15 0.92073011 0.915348 0.91803909 0.020761807        
110 1.10 8.11 0.91534807 0.909697 0.91252229 0.020637043        
111 1.11 8.06 0.90969651 0.903769 0.90673298 0.020506115        
112 1.12 8.02 0.90376944 0.897561 0.90066536 0.020368893        
113 1.13 7.98 0.89756127 0.891067 0.89431408 0.020225257        
114 1.14 7.94 0.89106689 0.884282 0.88767429 0.020075095        
115 1.15 7.89 0.88428169 0.877202 0.88074164 0.019918311        
116 1.16 7.85 0.87720159 0.869823 0.87351235 0.019754818        
117 1.17 7.81 0.86982311 0.862143 0.86598325 0.019584544        
118 1.18 7.77 0.86214339 0.85416 0.85815181 0.019407433        
119 1.19 7.72 0.85416023 0.845872 0.85001618 0.019223443        
120 1.20 7.68 0.84587213 0.837278 0.84157521 0.019032547        
121 1.21 7.64 0.83727830 0.828379 0.83282851 0.018834737        
122 1.22 7.59 0.82837872 0.819174 0.82377644 0.018630021        
123 1.23 7.55 0.81917415 0.809666 0.81442017 0.018418425        
124 1.24 7.51 0.80966618 0.799857 0.8047617 0.018199995        
125 1.25 7.47 0.79985721 0.78975 0.79480385 0.017974795        
126 1.26 7.42 0.78975048 0.77935 0.7845503 0.017742907        
127 1.27 7.38 0.77935012 0.768661 0.77400562 0.017504435        
128 1.28 7.34 0.76866112 0.757689 0.76317523 0.017259501        
129 1.29 7.30 0.75768934 0.746442 0.75206543 0.017008249        
130 1.30 7.25 0.74644152 0.734925 0.74068341 0.01675084        
131 1.31 7.21 0.73492530 0.723149 0.72903723 0.016487457        
132 1.32 7.17 0.72314915 0.711122 0.7171358 0.016218302        
133 1.33 7.13 0.71112244 0.698855 0.70498888 0.015943595        
134 1.34 7.08 0.69885533 0.686359 0.69260709 0.015663576        
135 1.35 7.04 0.68635884 0.673645 0.6800018 0.015378502        
136 1.36 7.00 0.67364476 0.660726 0.6671852 0.01508865        
137 1.37 6.95 0.66072564 0.647615 0.6541702 0.014794311        
138 1.38 6.91 0.64761476 0.634326 0.64097042 0.014495793        
139 1.39 6.87 0.63432608 0.620874 0.62760015 0.014193419        
140 1.40 6.83 0.62087422 0.607274 0.61407429 0.013887526        
141 1.41 6.78 0.60727436 0.593542 0.60040831 0.013578465        
142 1.42 6.74 0.59354226 0.579694 0.58661819 0.013266596        
143 1.43 6.70 0.57969413 0.565747 0.57272039 0.012952292        
144 1.44 6.66 0.56574664 0.551717 0.55873173 0.012635933        
145 1.45 6.61 0.55171682 0.537622 0.54466941 0.012317908        
146 1.46 6.57 0.53762201 0.52348 0.53055089 0.011998612        
147 1.47 6.53 0.52347977 0.509308 0.51639381 0.011678445        
148 1.48 6.49 0.50930785 0.495124 0.50221599 0.011357808        
149 1.49 6.44 0.49512413 0.480947 0.48803537 0.011037108        
150 1.50 6.40 0.48094661 0.466793 0.47386989 0.01071675        
151 1.51 6.36 0.46679318 0.452682 0.45973741 0.010397138        
152 1.52 6.31 0.45268165 0.43863 0.44565564 0.010078674        
153 1.53 6.27 0.43862964 0.424655 0.43164211 0.009761752        
154 1.54 6.23 0.42465458 0.410774 0.41771409 0.009446765        
155 1.55 6.19 0.41077360 0.397003 0.40388853 0.009134094        
156 1.56 6.14 0.39700347 0.383361 0.39018202 0.008824116        
157 1.57 6.10 0.38336057 0.369861 0.37661068 0.008517195        
158 1.58 6.06 0.36986080 0.35652 0.36319016 0.008213685        
159 1.59 6.02 0.35651953 0.343352 0.34993554 0.007913927        
160 1.60 5.97 0.34335156 0.330371 0.3368613 0.007618248        
161 1.61 5.93 0.33037105 0.317592 0.32398128 0.007326961        
162 1.62 5.89 0.31759151 0.305026 0.31130862 0.007040364        
163 1.63 5.85 0.30502572 0.292686 0.29885572 0.006758737        
164 1.64 5.80 0.29268571 0.280583 0.28663423 0.006482343        
165 1.65 5.76 0.28058274 0.268727 0.27465499 0.006211428        
166 1.66 5.72 0.26872725 0.257129 0.26292805 0.005946219        
167 1.67 5.67 0.25712885 0.245796 0.25146257 0.005686923        
168 1.68 5.63 0.24579629 0.234737 0.24026689 0.005433728        
169 1.69 5.59 0.23473749 0.223959 0.22934846 0.005186804        
170 1.70 5.55 0.22395944 0.213468 0.21871387 0.004946298        
171 1.71 5.50 0.21346830 0.203269 0.20836882 0.004712341        
172 1.72 5.46 0.20326933 0.193367 0.19831813 0.004485041        
173 1.73 5.42 0.19336692 0.183765 0.18856576 0.004264487        
174 1.74 5.38 0.18376459 0.174465 0.1791148 0.00405075        
175 1.75 5.33 0.17446500 0.16547 0.1699675 0.00384388        
176 1.76 5.29 0.16547000 0.156781 0.16112529 0.00364391        
177 1.77 5.25 0.15678059 0.148397 0.15258879 0.003450854        
178 1.78 5.21 0.14839699 0.140319 0.14435783 0.003264708        
179 1.79 5.16 0.14031867 0.132544 0.1364315 0.003085451        
180 1.80 5.12 0.13254433 0.125072 0.12880816 0.002913046        
181 1.81 5.08 0.12507199 0.117899 0.12148549 0.002747441        
182 1.82 5.03 0.11789899 0.111022 0.11446052 0.002588569        
183 1.83 4.99 0.11102204 0.104437 0.10772964 0.002436347        
184 1.84 4.95 0.10443725 0.09814 0.10128871 0.002290683        
185 1.85 4.91 0.09814016 0.092126 0.095133 0.002151469        
186 1.86 4.86 0.09212583 0.086389 0.08925731 0.002018588        
187 1.87 4.82 0.08638880 0.080923 0.083656 0.001891913        
188 1.88 4.78 0.08092320 0.075723 0.07832299 0.001771305        
189 1.89 4.74 0.07572278 0.070781 0.07325185 0.001656619        
190 1.90 4.69 0.07078091 0.066091 0.0684358 0.001547702        
191 1.91 4.65 0.06609068 0.061645 0.06386778 0.001444394        
192 1.92 4.61 0.06164489 0.057436 0.05954051 0.001346531        
193 1.93 4.57 0.05743613 0.053457 0.05544646 0.001253943        
194 1.94 4.52 0.05345679 0.049699 0.05157796 0.001166455        
195 1.95 4.48 0.04969912 0.046155 0.04792719 0.001083892        
196 1.96 4.44 0.04615526 0.042817 0.04448627 0.001006074        
197 1.97 4.39 0.04281727 0.039677 0.04124721 0.000932821        
198 1.98 4.35 0.03967715 0.036727 0.03820203 0.000863953        
199 1.99 4.31 0.03672690 0.033959 0.03534273 0.000799289        
200 2.00 4.27 0.03395856 0.031364 0.03266137 0.000738649        
201 2.01 4.22 0.03136418 0.028936 0.03015004 0.000681855        
202 2.02 4.18 0.02893591 0.026666 0.02780094 0.000628729        
203 2.03 4.14 0.02666597 0.024547 0.02560635 0.000579098        
204 2.04 4.10 0.02454674 0.022571 0.02355871 0.000532789        
205 2.05 4.05 0.02257069 0.02073 0.02165059 0.000489636        
206 2.06 4.01 0.02073049 0.019019 0.01987473 0.000449475        
207 2.07 3.97 0.01901896 0.017429 0.01822404 0.000412144        
208 2.08 3.93 0.01742912 0.015954 0.01669164 0.000377488        
209 2.09 3.88 0.01595417 0.014588 0.01527086 0.000345356        
210 2.10 3.84 0.01458755 0.013323 0.01395522 0.000315603        
211 2.11 3.80 0.01332289 0.012154 0.01273849 0.000288086        
212 2.12 3.75 0.01215408 0.011075 0.01161464 0.00026267        
213 2.13 3.71 0.01107520 0.010081 0.0105779 0.000239223        
214 2.14 3.67 0.01008060 0.009165 0.00962273 0.000217622        
215 2.15 3.63 0.00916486 0.008323 0.00874381 0.000197745        
216 2.16 3.58 0.00832277 0.007549 0.00793609 0.000179478        
217 2.17 3.54 0.00754941 0.00684 0.00719473 0.000162712        
218 2.18 3.50 0.00684006 0.00619 0.00651514 0.000147342        
219 2.19 3.46 0.00619023 0.005596 0.00589296 0.000133272        
220 2.20 3.41 0.00559569 0.005052 0.00532406 0.000120406        
221 2.21 3.37 0.00505243 0.004557 0.00480453 0.000108656        
222 2.22 3.33 0.00455664 0.004105 0.00433069 9.79403E-05        
223 2.23 3.29 0.00410475 0.003693 0.00389907 8.8179E-05        
224 2.24 3.24 0.00369339 0.003319 0.0035064 7.92985E-05        
225 2.25 3.20 0.00331940 0.00298 0.00314961 7.12297E-05        
226 2.26 3.16 0.00297982 0.002672 0.00282584 6.39075E-05        
227 2.27 3.11 0.00267186 0.002393 0.0025324 5.72713E-05        
228 2.28 3.07 0.00239294 0.002141 0.00226679 5.12644E-05        
229 2.29 3.03 0.00214064 0.001913 0.00202667 4.5834E-05        
230 2.30 2.99 0.00191270 0.001707 0.00180987 4.09309E-05        
231 2.31 2.94 0.00170704 0.001522 0.00161437 3.65096E-05        
232 2.32 2.90 0.00152170 0.001355 0.0014383 3.25277E-05        
233 2.33 2.86 0.00135490 0.001205 0.00127993 2.89462E-05        
234 2.34 2.82 0.00120496 0.00107 0.00113766 2.57287E-05        
235 2.35 2.77 0.00107036 0.00095 0.00101002 2.2842E-05        
236 2.36 2.73 0.00094968 0.000842 0.00089564 2.02553E-05        
237 2.37 2.69 0.00084161 0.000745 0.00079328 1.79404E-05        
238 2.38 2.65 0.00074496 0.000659 0.00070179 1.58713E-05        
239 2.39 2.60 0.00065863 0.000582 0.00062012 1.40242E-05        
240 2.40 2.56 0.00058161 0.000513 0.0005473 1.23775E-05        
241 2.41 2.52 0.00051300 0.000452 0.00048247 1.09112E-05        
242 2.42 2.47 0.00045194 0.000398 0.00042481 9.6072E-06        
243 2.43 2.43 0.00039768 0.00035 0.0003736 8.44903E-06        
244 2.44 2.39 0.00034952 0.000307 0.00032817 7.42165E-06        
245 2.45 2.35 0.00030682 0.000269 0.00028792 6.51147E-06        
246 2.46 2.30 0.00026902 0.000236 0.00025231 5.70611E-06        
247 2.47 2.26 0.00023560 0.000206 0.00022084 4.99442E-06        
248 2.48 2.22 0.00020608 0.00018 0.00019307 4.36628E-06        
249 2.49 2.18 0.00018005 0.000157 0.00016858 3.81259E-06        
250 2.50 2.13 0.00015712 0.000137 0.00014703 3.32515E-06        
251 2.51 2.09 0.00013694 0.000119 0.00012808 2.89656E-06        
252 2.52 2.05 0.00011922 0.000104 0.00011144 2.5202E-06        
253 2.53 2.01 0.00010366 9E-05 9.6842E-05 2.19012E-06        
254 2.54 1.96 0.00009003 7.81E-05 8.4058E-05 1.901E-06        
255 2.55 1.92 0.00007809 6.77E-05 7.2874E-05 1.64807E-06        
256 2.56 1.88 0.00006766 5.85E-05 6.3102E-05 1.42707E-06        
257 2.57 1.83 0.00005855 5.06E-05 5.4575E-05 1.23423E-06        
258 2.58 1.79 0.00005060 4.37E-05 4.7144E-05 1.06617E-06        
259 2.59 1.75 0.00004368 3.77E-05 4.0675E-05 9.19884E-07        
260 2.60 1.71 0.00003767 3.24E-05 3.5052E-05 7.92717E-07        
261 2.61 1.66 0.00003244 2.79E-05 3.017E-05 6.82308E-07        
262 2.62 1.62 0.00002790 2.4E-05 2.5937E-05 5.8657E-07        
263 2.63 1.58 0.00002397 2.06E-05 2.2271E-05 5.03658E-07        
264 2.64 1.54 0.00002057 1.76E-05 1.91E-05 4.31945E-07        
265 2.65 1.49 0.00001763 1.51E-05 1.636E-05 3.69995E-07        
266 2.66 1.45 0.00001509 1.29E-05 1.3997E-05 3.16549E-07        
267 2.67 1.41 0.00001290 1.1E-05 1.1961E-05 2.70496E-07        
268 2.68 1.37 0.00001102 9.4E-06 1.0208E-05 2.30863E-07        
269 2.69 1.32 0.00000940 8.01E-06 8.702E-06 1.968E-07        
270 2.70 1.28 0.00000801 6.81E-06 7.4091E-06 1.67559E-07        
271 2.71 1.24 0.00000681 5.79E-06 6.3006E-06 1.42491E-07        
272 2.72 1.19 0.00000579 4.91E-06 5.3515E-06 1.21026E-07        
273 2.73 1.15 0.00000491 4.17E-06 4.5398E-06 1.0267E-07        
274 2.74 1.11 0.00000417 3.53E-06 3.8466E-06 8.69928E-08        
275 2.75 1.07 0.00000353 2.98E-06 3.2553E-06 7.36199E-08        
276 2.76 1.02 0.00000298 2.52E-06 2.7515E-06 6.22272E-08        
277 2.77 0.98 0.00000252 2.13E-06 2.3229E-06 5.25337E-08        
278 2.78 0.94 0.00000213 1.79E-06 1.9587E-06 4.42963E-08        
279 2.79 0.90 0.00000179 1.51E-06 1.6496E-06 3.73052E-08        
280 2.80 0.85 0.00000151 1.27E-06 1.3875E-06 3.13793E-08        
281 2.81 0.81 0.00000127 1.06E-06 1.1657E-06 2.63626E-08        
282 2.82 0.77 0.00000106 8.92E-07 9.7814E-07 2.2121E-08        
283 2.83 0.73 0.00000089 7.47E-07 8.1976E-07 1.85393E-08        
284 2.84 0.68 0.00000075 6.25E-07 6.862E-07 1.55186E-08        
285 2.85 0.64 0.00000063 5.22E-07 5.7369E-07 1.29742E-08        
286 2.86 0.60 0.00000052 4.36E-07 4.7905E-07 1.08338E-08        
287 2.87 0.55 0.00000044 3.63E-07 3.9953E-07 9.03546E-09        
288 2.88 0.51 0.00000036 3.02E-07 3.328E-07 7.52645E-09        
289 2.89 0.47 0.00000030 2.51E-07 2.7688E-07 6.2618E-09        
290 2.90 0.43 0.00000025 2.09E-07 2.3008E-07 5.20329E-09        
291 2.91 0.38 0.00000021 1.73E-07 1.9095E-07 4.31844E-09        
292 2.92 0.34 0.00000017 1.43E-07 1.5829E-07 3.57968E-09        
293 2.93 0.30 0.00000014 1.19E-07 1.3105E-07 2.96367E-09        
294 2.94 0.26 0.00000012 9.81E-08 1.0836E-07 2.45067E-09        
295 2.95 0.21 0.00000010 8.09E-08 8.9496E-08 2.02399E-09        
296 2.96 0.17 0.00000008 6.67E-08 7.3824E-08 1.66956E-09        
297 2.97 0.13 0.00000007 5.49E-08 6.0822E-08 1.3755E-09        
298 2.98 0.09 0.00000005 4.52E-08 5.0048E-08 1.13185E-09        
299 2.99 0.04 0.00000005 3.71E-08 4.1132E-08 9.30219E-10        
300 3.00 0.00 0.00000004 3.04E-08 3.3763E-08 7.6357E-10        
        SUM   3.33930289        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 100.00 vph   K=   15.38461538 vpm      
MU 6.50 mph   N=   46 veh      
SIGMA 1.20 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 22.72   PER HOUR= 96.92
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 4.77     3
        DETERMINISTIC (FOR MU <<<< U)= 22.72      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99999992 1 0.99999992 0.153846141        
2 0.02 12.71 0.99999991 1 0.9999999 0.153846138        
3 0.03 12.67 0.99999989 1 0.99999988 0.153846135        
4 0.04 12.63 0.99999986 1 0.99999985 0.153846131        
5 0.05 12.59 0.99999984 1 0.99999982 0.153846126        
6 0.06 12.54 0.99999980 1 0.99999978 0.15384612        
7 0.07 12.50 0.99999976 1 0.99999974 0.153846114        
8 0.08 12.46 0.99999971 1 0.99999969 0.153846105        
9 0.09 12.42 0.99999966 1 0.99999962 0.153846096        
10 0.10 12.37 0.99999959 1 0.99999955 0.153846084        
11 0.11 12.33 0.99999951 0.999999 0.99999946 0.15384607        
12 0.12 12.29 0.99999941 0.999999 0.99999935 0.153846054        
13 0.13 12.25 0.99999929 0.999999 0.99999922 0.153846035        
14 0.14 12.20 0.99999916 0.999999 0.99999907 0.153846011        
15 0.15 12.16 0.99999899 0.999999 0.9999989 0.153845984        
16 0.16 12.12 0.99999880 0.999999 0.99999869 0.153845952        
17 0.17 12.07 0.99999857 0.999998 0.99999844 0.153845913        
18 0.18 12.03 0.99999830 0.999998 0.99999814 0.153845868        
19 0.19 11.99 0.99999798 0.999998 0.9999978 0.153845815        
20 0.20 11.95 0.99999761 0.999997 0.99999739 0.153845752        
21 0.21 11.90 0.99999717 0.999997 0.99999691 0.153845679        
22 0.22 11.86 0.99999665 0.999996 0.99999635 0.153845592        
23 0.23 11.82 0.99999604 0.999995 0.99999569 0.153845491        
24 0.24 11.78 0.99999533 0.999994 0.99999492 0.153845372        
25 0.25 11.73 0.99999450 0.999994 0.99999401 0.153845233        
26 0.26 11.69 0.99999352 0.999992 0.99999296 0.15384507        
27 0.27 11.65 0.99999239 0.999991 0.99999172 0.153844881        
28 0.28 11.61 0.99999106 0.99999 0.99999029 0.15384466        
29 0.29 11.56 0.99998951 0.999988 0.99998862 0.153844402        
30 0.30 11.52 0.99998772 0.999986 0.99998667 0.153844103        
31 0.31 11.48 0.99998563 0.999983 0.99998442 0.153843756        
32 0.32 11.43 0.99998320 0.99998 0.9999818 0.153843354        
33 0.33 11.39 0.99998040 0.999977 0.99997877 0.153842888        
34 0.34 11.35 0.99997715 0.999973 0.99997527 0.153842349        
35 0.35 11.31 0.99997339 0.999969 0.99997122 0.153841726        
36 0.36 11.26 0.99996905 0.999964 0.99996655 0.153841007        
37 0.37 11.22 0.99996405 0.999958 0.99996117 0.15384018        
38 0.38 11.18 0.99995829 0.999952 0.99995498 0.153839227        
39 0.39 11.14 0.99995166 0.999944 0.99994786 0.153838132        
40 0.40 11.09 0.99994405 0.999935 0.99993969 0.153836875        
41 0.41 11.05 0.99993532 0.999925 0.99993032 0.153835434        
42 0.42 11.01 0.99992532 0.999914 0.9999196 0.153833785        
43 0.43 10.97 0.99991388 0.999901 0.99990734 0.153831898        
44 0.44 10.92 0.99990080 0.999886 0.99989333 0.153829743        
45 0.45 10.88 0.99988587 0.999869 0.99987736 0.153827286        
46 0.46 10.84 0.99986885 0.999849 0.99985916 0.153824486        
47 0.47 10.79 0.99984947 0.999827 0.99983845 0.1538213        
48 0.48 10.75 0.99982743 0.999802 0.99981492 0.15381768        
49 0.49 10.71 0.99980241 0.999774 0.99978822 0.153813572        
50 0.50 10.67 0.99977402 0.999742 0.99975795 0.153808915        
51 0.51 10.62 0.99974187 0.999705 0.99972368 0.153803643        
52 0.52 10.58 0.99970549 0.999664 0.99968494 0.153797683        
53 0.53 10.54 0.99966439 0.999618 0.99964119 0.153790953        
54 0.54 10.50 0.99961800 0.999566 0.99959186 0.153783362        
55 0.55 10.45 0.99956571 0.999507 0.99953629 0.153774813        
56 0.56 10.41 0.99950686 0.999441 0.99947378 0.153765196        
57 0.57 10.37 0.99944069 0.999366 0.99940354 0.153754391        
58 0.58 10.33 0.99936640 0.999283 0.99932474 0.153742268        
59 0.59 10.28 0.99928308 0.99919 0.99923643 0.153728681        
60 0.60 10.24 0.99918977 0.999085 0.99913758 0.153713474        
61 0.61 10.20 0.99908539 0.998969 0.99902709 0.153696475        
62 0.62 10.15 0.99896878 0.998839 0.99890373 0.153677497        
63 0.63 10.11 0.99883868 0.998694 0.99876618 0.153656336        
64 0.64 10.07 0.99869369 0.998532 0.99861301 0.153632771        
65 0.65 10.03 0.99853233 0.998353 0.99844265 0.153606562        
66 0.66 9.98 0.99835298 0.998154 0.99825342 0.153577449        
67 0.67 9.94 0.99815387 0.997933 0.99804349 0.153545152        
68 0.68 9.90 0.99793311 0.997689 0.99781088 0.153509366        
69 0.69 9.86 0.99768865 0.997418 0.99755348 0.153469766        
70 0.70 9.81 0.99741830 0.99712 0.997269 0.153425999        
71 0.71 9.77 0.99711969 0.99679 0.99695498 0.15337769        
72 0.72 9.73 0.99679028 0.996427 0.99660882 0.153324433        
73 0.73 9.69 0.99642735 0.996028 0.99622768 0.153265796        
74 0.74 9.64 0.99602800 0.995589 0.99580857 0.153201318        
75 0.75 9.60 0.99558913 0.995107 0.99534828 0.153130505        
76 0.76 9.56 0.99510743 0.994579 0.99484342 0.153052833        
77 0.77 9.51 0.99457940 0.994001 0.99429035 0.152967747        
78 0.78 9.47 0.99400131 0.993369 0.99368526 0.152874655        
79 0.79 9.43 0.99336921 0.992679 0.99302406 0.152772933        
80 0.80 9.39 0.99267892 0.991926 0.99230249 0.152661922        
81 0.81 9.34 0.99192606 0.991106 0.99151601 0.152540925        
82 0.82 9.30 0.99110597 0.990214 0.99065988 0.152409212        
83 0.83 9.26 0.99021379 0.989244 0.9897291 0.152266015        
84 0.84 9.22 0.98924440 0.988192 0.98871843 0.152110528        
85 0.85 9.17 0.98819246 0.987052 0.98762242 0.151941911        
86 0.86 9.13 0.98705237 0.985818 0.98643535 0.151759284        
87 0.87 9.09 0.98581832 0.984484 0.98515128 0.151561735        
88 0.88 9.05 0.98448423 0.983044 0.98376403 0.151348313        
89 0.89 9.00 0.98304383 0.981491 0.98226722 0.151118034        
90 0.90 8.96 0.98149061 0.979818 0.98065423 0.150869882        
91 0.91 8.92 0.97981785 0.978019 0.97891824 0.150602806        
92 0.92 8.87 0.97801862 0.976086 0.97705222 0.150315726        
93 0.93 8.83 0.97608581 0.974012 0.97504897 0.150007533        
94 0.94 8.79 0.97401212 0.97179 0.97290111 0.149677094        
95 0.95 8.75 0.97179010 0.969412 0.97060111 0.149323248        
96 0.96 8.70 0.96941213 0.966871 0.96814132 0.148944818        
97 0.97 8.66 0.96687050 0.964157 0.96551393 0.148540605        
98 0.98 8.62 0.96415737 0.961265 0.9627111 0.1481094        
99 0.99 8.58 0.96126483 0.958185 0.95972486 0.147649979        
100 1.00 8.53 0.95818490 0.95491 0.95654725 0.147161115        
101 1.01 8.49 0.95490960 0.951431 0.95317026 0.146641579        
102 1.02 8.45 0.95143093 0.947741 0.94958593 0.146090143        
103 1.03 8.41 0.94774093 0.943832 0.94578631 0.145505587        
104 1.04 8.36 0.94383170 0.939695 0.94176358 0.144886704        
105 1.05 8.32 0.93969546 0.935325 0.93751 0.144232308        
106 1.06 8.28 0.93532455 0.930711 0.93301801 0.143541233        
107 1.07 8.23 0.93071148 0.925849 0.92828025 0.142812346        
108 1.08 8.19 0.92584901 0.92073 0.92328956 0.142044547        
109 1.09 8.15 0.92073011 0.915348 0.91803909 0.141236783        
110 1.10 8.11 0.91534807 0.909697 0.91252229 0.140388045        
111 1.11 8.06 0.90969651 0.903769 0.90673298 0.139497381        
112 1.12 8.02 0.90376944 0.897561 0.90066536 0.138563901        
113 1.13 7.98 0.89756127 0.891067 0.89431408 0.137586782        
114 1.14 7.94 0.89106689 0.884282 0.88767429 0.136565275        
115 1.15 7.89 0.88428169 0.877202 0.88074164 0.135498713        
116 1.16 7.85 0.87720159 0.869823 0.87351235 0.134386515        
117 1.17 7.81 0.86982311 0.862143 0.86598325 0.133228192        
118 1.18 7.77 0.86214339 0.85416 0.85815181 0.132023356        
119 1.19 7.72 0.85416023 0.845872 0.85001618 0.13077172        
120 1.20 7.68 0.84587213 0.837278 0.84157521 0.129473109        
121 1.21 7.64 0.83727830 0.828379 0.83282851 0.128127463        
122 1.22 7.59 0.82837872 0.819174 0.82377644 0.126734836        
123 1.23 7.55 0.81917415 0.809666 0.81442017 0.125295411        
124 1.24 7.51 0.80966618 0.799857 0.8047617 0.123809492        
125 1.25 7.47 0.79985721 0.78975 0.79480385 0.122277515        
126 1.26 7.42 0.78975048 0.77935 0.7845503 0.120700047        
127 1.27 7.38 0.77935012 0.768661 0.77400562 0.119077788        
128 1.28 7.34 0.76866112 0.757689 0.76317523 0.117411574        
129 1.29 7.30 0.75768934 0.746442 0.75206543 0.115702374        
130 1.30 7.25 0.74644152 0.734925 0.74068341 0.113951294        
131 1.31 7.21 0.73492530 0.723149 0.72903723 0.112159573        
132 1.32 7.17 0.72314915 0.711122 0.7171358 0.110328584        
133 1.33 7.13 0.71112244 0.698855 0.70498888 0.108459828        
134 1.34 7.08 0.69885533 0.686359 0.69260709 0.106554936        
135 1.35 7.04 0.68635884 0.673645 0.6800018 0.104615662        
136 1.36 7.00 0.67364476 0.660726 0.6671852 0.102643877
137 1.37 6.95 0.66072564 0.647615 0.6541702 0.100641569        
138 1.38 6.91 0.64761476 0.634326 0.64097042 0.098610834        
139 1.39 6.87 0.63432608 0.620874 0.62760015 0.096553869        
140 1.40 6.83 0.62087422 0.607274 0.61407429 0.094472968        
141 1.41 6.78 0.60727436 0.593542 0.60040831 0.092370509        
142 1.42 6.74 0.59354226 0.579694 0.58661819 0.090248953        
143 1.43 6.70 0.57969413 0.565747 0.57272039 0.088110829        
144 1.44 6.66 0.56574664 0.551717 0.55873173 0.085958728        
145 1.45 6.61 0.55171682 0.537622 0.54466941 0.083795294        
146 1.46 6.57 0.53762201 0.52348 0.53055089 0.081623213        
147 1.47 6.53 0.52347977 0.509308 0.51639381 0.079445201        
148 1.48 6.49 0.50930785 0.495124 0.50221599 0.077263999        
149 1.49 6.44 0.49512413 0.480947 0.48803537 0.075082365        
150 1.50 6.40 0.48094661 0.466793 0.47386989 0.072903061        
151 1.51 6.36 0.46679318 0.452682 0.45973741 0.070728833        
152 1.52 6.31 0.45268165 0.43863 0.44565564 0.068562407        
153 1.53 6.27 0.43862964 0.424655 0.43164211 0.066406479        
154 1.54 6.23 0.42465458 0.410774 0.41771409 0.064263706        
155 1.55 6.19 0.41077360 0.397003 0.40388853 0.062136697        
156 1.56 6.14 0.39700347 0.383361 0.39018202 0.060028003        
157 1.57 6.10 0.38336057 0.369861 0.37661068 0.057940105        
158 1.58 6.06 0.36986080 0.35652 0.36319016 0.055875409        
159 1.59 6.02 0.35651953 0.343352 0.34993554 0.053836237        
160 1.60 5.97 0.34335156 0.330371 0.3368613 0.051824816        
161 1.61 5.93 0.33037105 0.317592 0.32398128 0.049843274        
162 1.62 5.89 0.31759151 0.305026 0.31130862 0.047893633        
163 1.63 5.85 0.30502572 0.292686 0.29885572 0.045977802        
164 1.64 5.80 0.29268571 0.280583 0.28663423 0.044097573        
165 1.65 5.76 0.28058274 0.268727 0.27465499 0.042254614        
166 1.66 5.72 0.26872725 0.257129 0.26292805 0.040450469        
167 1.67 5.67 0.25712885 0.245796 0.25146257 0.038686549        
168 1.68 5.63 0.24579629 0.234737 0.24026689 0.036964137        
169 1.69 5.59 0.23473749 0.223959 0.22934846 0.035284379        
170 1.70 5.55 0.22395944 0.213468 0.21871387 0.033648288        
171 1.71 5.50 0.21346830 0.203269 0.20836882 0.032056741        
172 1.72 5.46 0.20326933 0.193367 0.19831813 0.030510481        
173 1.73 5.42 0.19336692 0.183765 0.18856576 0.029010116        
174 1.74 5.38 0.18376459 0.174465 0.1791148 0.027556123        
175 1.75 5.33 0.17446500 0.16547 0.1699675 0.026148846        
176 1.76 5.29 0.16547000 0.156781 0.16112529 0.024788507        
177 1.77 5.25 0.15678059 0.148397 0.15258879 0.023475198        
178 1.78 5.21 0.14839699 0.140319 0.14435783 0.022208897        
179 1.79 5.16 0.14031867 0.132544 0.1364315 0.020989461        
180 1.80 5.12 0.13254433 0.125072 0.12880816 0.01981664        
181 1.81 5.08 0.12507199 0.117899 0.12148549 0.018690075        
182 1.82 5.03 0.11789899 0.111022 0.11446052 0.01760931        
183 1.83 4.99 0.11102204 0.104437 0.10772964 0.016573791        
184 1.84 4.95 0.10443725 0.09814 0.10128871 0.015582878        
185 1.85 4.91 0.09814016 0.092126 0.095133 0.014635846        
186 1.86 4.86 0.09212583 0.086389 0.08925731 0.013731894        
187 1.87 4.82 0.08638880 0.080923 0.083656 0.012870154        
188 1.88 4.78 0.08092320 0.075723 0.07832299 0.012049691        
189 1.89 4.74 0.07572278 0.070781 0.07325185 0.011269515        
190 1.90 4.69 0.07078091 0.066091 0.0684358 0.010528584        
191 1.91 4.65 0.06609068 0.061645 0.06386778 0.009825813        
192 1.92 4.61 0.06164489 0.057436 0.05954051 0.009160078        
193 1.93 4.57 0.05743613 0.053457 0.05544646 0.008530224        
194 1.94 4.52 0.05345679 0.049699 0.05157796 0.00793507        
195 1.95 4.48 0.04969912 0.046155 0.04792719 0.007373414        
196 1.96 4.44 0.04615526 0.042817 0.04448627 0.006844041        
197 1.97 4.39 0.04281727 0.039677 0.04124721 0.006345724        
198 1.98 4.35 0.03967715 0.036727 0.03820203 0.005877235        
199 1.99 4.31 0.03672690 0.033959 0.03534273 0.005437343        
200 2.00 4.27 0.03395856 0.031364 0.03266137 0.005024826        
201 2.01 4.22 0.03136418 0.028936 0.03015004 0.004638468        
202 2.02 4.18 0.02893591 0.026666 0.02780094 0.004277068        
203 2.03 4.14 0.02666597 0.024547 0.02560635 0.003939439        
204 2.04 4.10 0.02454674 0.022571 0.02355871 0.003624417        
205 2.05 4.05 0.02257069 0.02073 0.02165059 0.00333086        
206 2.06 4.01 0.02073049 0.019019 0.01987473 0.00305765        
207 2.07 3.97 0.01901896 0.017429 0.01822404 0.002803698        
208 2.08 3.93 0.01742912 0.015954 0.01669164 0.002567945        
209 2.09 3.88 0.01595417 0.014588 0.01527086 0.002349363        
210 2.10 3.84 0.01458755 0.013323 0.01395522 0.002146957        
211 2.11 3.80 0.01332289 0.012154 0.01273849 0.001959767        
212 2.12 3.75 0.01215408 0.011075 0.01161464 0.001786868        
213 2.13 3.71 0.01107520 0.010081 0.0105779 0.00162737        
214 2.14 3.67 0.01008060 0.009165 0.00962273 0.00148042        
215 2.15 3.63 0.00916486 0.008323 0.00874381 0.001345202        
216 2.16 3.58 0.00832277 0.007549 0.00793609 0.001220937        
217 2.17 3.54 0.00754941 0.00684 0.00719473 0.001106882        
218 2.18 3.50 0.00684006 0.00619 0.00651514 0.00100233        
219 2.19 3.46 0.00619023 0.005596 0.00589296 0.00090661        
220 2.20 3.41 0.00559569 0.005052 0.00532406 0.000819086        
221 2.21 3.37 0.00505243 0.004557 0.00480453 0.000739159        
222 2.22 3.33 0.00455664 0.004105 0.00433069 0.000666261        
223 2.23 3.29 0.00410475 0.003693 0.00389907 0.000599857        
224 2.24 3.24 0.00369339 0.003319 0.0035064 0.000539446        
225 2.25 3.20 0.00331940 0.00298 0.00314961 0.000484555        
226 2.26 3.16 0.00297982 0.002672 0.00282584 0.000434745        
227 2.27 3.11 0.00267186 0.002393 0.0025324 0.0003896        
228 2.28 3.07 0.00239294 0.002141 0.00226679 0.000348737        
229 2.29 3.03 0.00214064 0.001913 0.00202667 0.000311796        
230 2.30 2.99 0.00191270 0.001707 0.00180987 0.000278442        
231 2.31 2.94 0.00170704 0.001522 0.00161437 0.000248365        
232 2.32 2.90 0.00152170 0.001355 0.0014383 0.000221277        
233 2.33 2.86 0.00135490 0.001205 0.00127993 0.000196913        
234 2.34 2.82 0.00120496 0.00107 0.00113766 0.000175025        
235 2.35 2.77 0.00107036 0.00095 0.00101002 0.000155388        
236 2.36 2.73 0.00094968 0.000842 0.00089564 0.000137791        
237 2.37 2.69 0.00084161 0.000745 0.00079328 0.000122043        
238 2.38 2.65 0.00074496 0.000659 0.00070179 0.000107968        
239 2.39 2.60 0.00065863 0.000582 0.00062012 9.54029E-05        
240 2.40 2.56 0.00058161 0.000513 0.0005473 8.42006E-05        
241 2.41 2.52 0.00051300 0.000452 0.00048247 7.42258E-05        
242 2.42 2.47 0.00045194 0.000398 0.00042481 6.53551E-05        
243 2.43 2.43 0.00039768 0.00035 0.0003736 5.74764E-05        
244 2.44 2.39 0.00034952 0.000307 0.00032817 5.04874E-05        
245 2.45 2.35 0.00030682 0.000269 0.00028792 4.42957E-05        
246 2.46 2.30 0.00026902 0.000236 0.00025231 3.88171E-05        
247 2.47 2.26 0.00023560 0.000206 0.00022084 3.39756E-05        
248 2.48 2.22 0.00020608 0.00018 0.00019307 2.97026E-05        
249 2.49 2.18 0.00018005 0.000157 0.00016858 2.5936E-05        
250 2.50 2.13 0.00015712 0.000137 0.00014703 2.26201E-05        
251 2.51 2.09 0.00013694 0.000119 0.00012808 1.97045E-05        
252 2.52 2.05 0.00011922 0.000104 0.00011144 1.71442E-05        
253 2.53 2.01 0.00010366 9E-05 9.6842E-05 1.48988E-05        
254 2.54 1.96 0.00009003 7.81E-05 8.4058E-05 1.2932E-05        
255 2.55 1.92 0.00007809 6.77E-05 7.2874E-05 1.12113E-05        
256 2.56 1.88 0.00006766 5.85E-05 6.3102E-05 9.70798E-06        
257 2.57 1.83 0.00005855 5.06E-05 5.4575E-05 8.39614E-06        
258 2.58 1.79 0.00005060 4.37E-05 4.7144E-05 7.25285E-06        
259 2.59 1.75 0.00004368 3.77E-05 4.0675E-05 6.25771E-06        
260 2.60 1.71 0.00003767 3.24E-05 3.5052E-05 5.39263E-06        
261 2.61 1.66 0.00003244 2.79E-05 3.017E-05 4.64155E-06        
262 2.62 1.62 0.00002790 2.4E-05 2.5937E-05 3.99027E-06        
263 2.63 1.58 0.00002397 2.06E-05 2.2271E-05 3.42624E-06        
264 2.64 1.54 0.00002057 1.76E-05 1.91E-05 2.9384E-06        
265 2.65 1.49 0.00001763 1.51E-05 1.636E-05 2.51698E-06        
266 2.66 1.45 0.00001509 1.29E-05 1.3997E-05 2.15339E-06        
267 2.67 1.41 0.00001290 1.1E-05 1.1961E-05 1.84011E-06        
268 2.68 1.37 0.00001102 9.4E-06 1.0208E-05 1.5705E-06        
269 2.69 1.32 0.00000940 8.01E-06 8.702E-06 1.33877E-06        
270 2.70 1.28 0.00000801 6.81E-06 7.4091E-06 1.13986E-06        
271 2.71 1.24 0.00000681 5.79E-06 6.3006E-06 9.69324E-07        
272 2.72 1.19 0.00000579 4.91E-06 5.3515E-06 8.23306E-07        
273 2.73 1.15 0.00000491 4.17E-06 4.5398E-06 6.98436E-07        
274 2.74 1.11 0.00000417 3.53E-06 3.8466E-06 5.91788E-07        
275 2.75 1.07 0.00000353 2.98E-06 3.2553E-06 5.00816E-07        
276 2.76 1.02 0.00000298 2.52E-06 2.7515E-06 4.23314E-07        
277 2.77 0.98 0.00000252 2.13E-06 2.3229E-06 3.57372E-07        
278 2.78 0.94 0.00000213 1.79E-06 1.9587E-06 3.01336E-07        
279 2.79 0.90 0.00000179 1.51E-06 1.6496E-06 2.53777E-07        
280 2.80 0.85 0.00000151 1.27E-06 1.3875E-06 2.13465E-07        
281 2.81 0.81 0.00000127 1.06E-06 1.1657E-06 1.79338E-07        
282 2.82 0.77 0.00000106 8.92E-07 9.7814E-07 1.50483E-07        
283 2.83 0.73 0.00000089 7.47E-07 8.1976E-07 1.26118E-07        
284 2.84 0.68 0.00000075 6.25E-07 6.862E-07 1.05569E-07        
285 2.85 0.64 0.00000063 5.22E-07 5.7369E-07 8.82599E-08        
286 2.86 0.60 0.00000052 4.36E-07 4.7905E-07 7.36993E-08        
287 2.87 0.55 0.00000044 3.63E-07 3.9953E-07 6.14657E-08        
288 2.88 0.51 0.00000036 3.02E-07 3.328E-07 5.12003E-08        
289 2.89 0.47 0.00000030 2.51E-07 2.7688E-07 4.25973E-08        
290 2.90 0.43 0.00000025 2.09E-07 2.3008E-07 3.53966E-08        
291 2.91 0.38 0.00000021 1.73E-07 1.9095E-07 2.93771E-08        
292 2.92 0.34 0.00000017 1.43E-07 1.5829E-07 2.43516E-08        
293 2.93 0.30 0.00000014 1.19E-07 1.3105E-07 2.01611E-08        
294 2.94 0.26 0.00000012 9.81E-08 1.0836E-07 1.66713E-08        
295 2.95 0.21 0.00000010 8.09E-08 8.9496E-08 1.37687E-08        
296 2.96 0.17 0.00000008 6.67E-08 7.3824E-08 1.13575E-08        
297 2.97 0.13 0.00000007 5.49E-08 6.0822E-08 9.35716E-09        
298 2.98 0.09 0.00000005 4.52E-08 5.0048E-08 7.69967E-09        
299 2.99 0.04 0.00000005 3.71E-08 4.1132E-08 6.32802E-09        
300 3.00 0.00 0.00000004 3.04E-08 3.3763E-08 5.19435E-09        
        SUM   22.71634619        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 7.00 vph   K=   1.076923077 vpm      
MU 6.50 mph   N=   3 veh      
SIGMA 1.20 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 1.59   PER HOUR= 6.78
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 1.26     4
        DETERMINISTIC (FOR MU <<<< U)= 1.59      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99999992 1 0.99999992 0.01076923        
2 0.02 12.71 0.99999991 1 0.9999999 0.01076923        
3 0.03 12.67 0.99999989 1 0.99999988 0.010769229        
4 0.04 12.63 0.99999986 1 0.99999985 0.010769229        
5 0.05 12.59 0.99999984 1 0.99999982 0.010769229        
6 0.06 12.54 0.99999980 1 0.99999978 0.010769228        
7 0.07 12.50 0.99999976 1 0.99999974 0.010769228        
8 0.08 12.46 0.99999971 1 0.99999969 0.010769227        
9 0.09 12.42 0.99999966 1 0.99999962 0.010769227        
10 0.10 12.37 0.99999959 1 0.99999955 0.010769226        
11 0.11 12.33 0.99999951 0.999999 0.99999946 0.010769225        
12 0.12 12.29 0.99999941 0.999999 0.99999935 0.010769224        
13 0.13 12.25 0.99999929 0.999999 0.99999922 0.010769222        
14 0.14 12.20 0.99999916 0.999999 0.99999907 0.010769221        
15 0.15 12.16 0.99999899 0.999999 0.9999989 0.010769219        
16 0.16 12.12 0.99999880 0.999999 0.99999869 0.010769217        
17 0.17 12.07 0.99999857 0.999998 0.99999844 0.010769214        
18 0.18 12.03 0.99999830 0.999998 0.99999814 0.010769211        
19 0.19 11.99 0.99999798 0.999998 0.9999978 0.010769207        
20 0.20 11.95 0.99999761 0.999997 0.99999739 0.010769203        
21 0.21 11.90 0.99999717 0.999997 0.99999691 0.010769198        
22 0.22 11.86 0.99999665 0.999996 0.99999635 0.010769191        
23 0.23 11.82 0.99999604 0.999995 0.99999569 0.010769184        
24 0.24 11.78 0.99999533 0.999994 0.99999492 0.010769176        
25 0.25 11.73 0.99999450 0.999994 0.99999401 0.010769166        
26 0.26 11.69 0.99999352 0.999992 0.99999296 0.010769155        
27 0.27 11.65 0.99999239 0.999991 0.99999172 0.010769142        
28 0.28 11.61 0.99999106 0.99999 0.99999029 0.010769126        
29 0.29 11.56 0.99998951 0.999988 0.99998862 0.010769108        
30 0.30 11.52 0.99998772 0.999986 0.99998667 0.010769087        
31 0.31 11.48 0.99998563 0.999983 0.99998442 0.010769063        
32 0.32 11.43 0.99998320 0.99998 0.9999818 0.010769035        
33 0.33 11.39 0.99998040 0.999977 0.99997877 0.010769002        
34 0.34 11.35 0.99997715 0.999973 0.99997527 0.010768964        
35 0.35 11.31 0.99997339 0.999969 0.99997122 0.010768921        
36 0.36 11.26 0.99996905 0.999964 0.99996655 0.010768871        
37 0.37 11.22 0.99996405 0.999958 0.99996117 0.010768813        
38 0.38 11.18 0.99995829 0.999952 0.99995498 0.010768746        
39 0.39 11.14 0.99995166 0.999944 0.99994786 0.010768669        
40 0.40 11.09 0.99994405 0.999935 0.99993969 0.010768581        
41 0.41 11.05 0.99993532 0.999925 0.99993032 0.01076848        
42 0.42 11.01 0.99992532 0.999914 0.9999196 0.010768365        
43 0.43 10.97 0.99991388 0.999901 0.99990734 0.010768233        
44 0.44 10.92 0.99990080 0.999886 0.99989333 0.010768082        
45 0.45 10.88 0.99988587 0.999869 0.99987736 0.01076791        
46 0.46 10.84 0.99986885 0.999849 0.99985916 0.010767714        
47 0.47 10.79 0.99984947 0.999827 0.99983845 0.010767491        
48 0.48 10.75 0.99982743 0.999802 0.99981492 0.010767238        
49 0.49 10.71 0.99980241 0.999774 0.99978822 0.01076695        
50 0.50 10.67 0.99977402 0.999742 0.99975795 0.010766624        
51 0.51 10.62 0.99974187 0.999705 0.99972368 0.010766255        
52 0.52 10.58 0.99970549 0.999664 0.99968494 0.010765838        
53 0.53 10.54 0.99966439 0.999618 0.99964119 0.010765367        
54 0.54 10.50 0.99961800 0.999566 0.99959186 0.010764835        
55 0.55 10.45 0.99956571 0.999507 0.99953629 0.010764237        
56 0.56 10.41 0.99950686 0.999441 0.99947378 0.010763564        
57 0.57 10.37 0.99944069 0.999366 0.99940354 0.010762807        
58 0.58 10.33 0.99936640 0.999283 0.99932474 0.010761959        
59 0.59 10.28 0.99928308 0.99919 0.99923643 0.010761008        
60 0.60 10.24 0.99918977 0.999085 0.99913758 0.010759943        
61 0.61 10.20 0.99908539 0.998969 0.99902709 0.010758753        
62 0.62 10.15 0.99896878 0.998839 0.99890373 0.010757425        
63 0.63 10.11 0.99883868 0.998694 0.99876618 0.010755944        
64 0.64 10.07 0.99869369 0.998532 0.99861301 0.010754294        
65 0.65 10.03 0.99853233 0.998353 0.99844265 0.010752459        
66 0.66 9.98 0.99835298 0.998154 0.99825342 0.010750421        
67 0.67 9.94 0.99815387 0.997933 0.99804349 0.010748161        
68 0.68 9.90 0.99793311 0.997689 0.99781088 0.010745656        
69 0.69 9.86 0.99768865 0.997418 0.99755348 0.010742884        
70 0.70 9.81 0.99741830 0.99712 0.997269 0.01073982        
71 0.71 9.77 0.99711969 0.99679 0.99695498 0.010736438        
72 0.72 9.73 0.99679028 0.996427 0.99660882 0.01073271        
73 0.73 9.69 0.99642735 0.996028 0.99622768 0.010728606        
74 0.74 9.64 0.99602800 0.995589 0.99580857 0.010724092        
75 0.75 9.60 0.99558913 0.995107 0.99534828 0.010719135        
76 0.76 9.56 0.99510743 0.994579 0.99484342 0.010713698        
77 0.77 9.51 0.99457940 0.994001 0.99429035 0.010707742        
78 0.78 9.47 0.99400131 0.993369 0.99368526 0.010701226        
79 0.79 9.43 0.99336921 0.992679 0.99302406 0.010694105        
80 0.80 9.39 0.99267892 0.991926 0.99230249 0.010686335        
81 0.81 9.34 0.99192606 0.991106 0.99151601 0.010677865        
82 0.82 9.30 0.99110597 0.990214 0.99065988 0.010668645        
83 0.83 9.26 0.99021379 0.989244 0.9897291 0.010658621        
84 0.84 9.22 0.98924440 0.988192 0.98871843 0.010647737        
85 0.85 9.17 0.98819246 0.987052 0.98762242 0.010635934        
86 0.86 9.13 0.98705237 0.985818 0.98643535 0.01062315        
87 0.87 9.09 0.98581832 0.984484 0.98515128 0.010609321        
88 0.88 9.05 0.98448423 0.983044 0.98376403 0.010594382        
89 0.89 9.00 0.98304383 0.981491 0.98226722 0.010578262        
90 0.90 8.96 0.98149061 0.979818 0.98065423 0.010560892        
91 0.91 8.92 0.97981785 0.978019 0.97891824 0.010542196        
92 0.92 8.87 0.97801862 0.976086 0.97705222 0.010522101        
93 0.93 8.83 0.97608581 0.974012 0.97504897 0.010500527        
94 0.94 8.79 0.97401212 0.97179 0.97290111 0.010477397        
95 0.95 8.75 0.97179010 0.969412 0.97060111 0.010452627        
96 0.96 8.70 0.96941213 0.966871 0.96814132 0.010426137        
97 0.97 8.66 0.96687050 0.964157 0.96551393 0.010397842        
98 0.98 8.62 0.96415737 0.961265 0.9627111 0.010367658        
99 0.99 8.58 0.96126483 0.958185 0.95972486 0.010335499        
100 1.00 8.53 0.95818490 0.95491 0.95654725 0.010301278        
101 1.01 8.49 0.95490960 0.951431 0.95317026 0.010264911        
102 1.02 8.45 0.95143093 0.947741 0.94958593 0.01022631        
103 1.03 8.41 0.94774093 0.943832 0.94578631 0.010185391        
104 1.04 8.36 0.94383170 0.939695 0.94176358 0.010142069        
105 1.05 8.32 0.93969546 0.935325 0.93751 0.010096262        
106 1.06 8.28 0.93532455 0.930711 0.93301801 0.010047886        
107 1.07 8.23 0.93071148 0.925849 0.92828025 0.009996864        
108 1.08 8.19 0.92584901 0.92073 0.92328956 0.009943118        
109 1.09 8.15 0.92073011 0.915348 0.91803909 0.009886575        
110 1.10 8.11 0.91534807 0.909697 0.91252229 0.009827163        
111 1.11 8.06 0.90969651 0.903769 0.90673298 0.009764817        
112 1.12 8.02 0.90376944 0.897561 0.90066536 0.009699473        
113 1.13 7.98 0.89756127 0.891067 0.89431408 0.009631075        
114 1.14 7.94 0.89106689 0.884282 0.88767429 0.009559569        
115 1.15 7.89 0.88428169 0.877202 0.88074164 0.00948491        
116 1.16 7.85 0.87720159 0.869823 0.87351235 0.009407056        
117 1.17 7.81 0.86982311 0.862143 0.86598325 0.009325973        
118 1.18 7.77 0.86214339 0.85416 0.85815181 0.009241635        
119 1.19 7.72 0.85416023 0.845872 0.85001618 0.00915402        
120 1.20 7.68 0.84587213 0.837278 0.84157521 0.009063118        
121 1.21 7.64 0.83727830 0.828379 0.83282851 0.008968922        
122 1.22 7.59 0.82837872 0.819174 0.82377644 0.008871439        
123 1.23 7.55 0.81917415 0.809666 0.81442017 0.008770679        
124 1.24 7.51 0.80966618 0.799857 0.8047617 0.008666664        
125 1.25 7.47 0.79985721 0.78975 0.79480385 0.008559426        
126 1.26 7.42 0.78975048 0.77935 0.7845503 0.008449003        
127 1.27 7.38 0.77935012 0.768661 0.77400562 0.008335445        
128 1.28 7.34 0.76866112 0.757689 0.76317523 0.00821881        
129 1.29 7.30 0.75768934 0.746442 0.75206543 0.008099166        
130 1.30 7.25 0.74644152 0.734925 0.74068341 0.007976591        
131 1.31 7.21 0.73492530 0.723149 0.72903723 0.00785117        
132 1.32 7.17 0.72314915 0.711122 0.7171358 0.007723001        
133 1.33 7.13 0.71112244 0.698855 0.70498888 0.007592188        
134 1.34 7.08 0.69885533 0.686359 0.69260709 0.007458846        
135 1.35 7.04 0.68635884 0.673645 0.6800018 0.007323096        
136 1.36 7.00 0.67364476 0.660726 0.6671852 0.007185071        
137 1.37 6.95 0.66072564 0.647615 0.6541702 0.00704491        
138 1.38 6.91 0.64761476 0.634326 0.64097042 0.006902758        
139 1.39 6.87 0.63432608 0.620874 0.62760015 0.006758771        
140 1.40 6.83 0.62087422 0.607274 0.61407429 0.006613108        
141 1.41 6.78 0.60727436 0.593542 0.60040831 0.006465936        
142 1.42 6.74 0.59354226 0.579694 0.58661819 0.006317427        
143 1.43 6.70 0.57969413 0.565747 0.57272039 0.006167758        
144 1.44 6.66 0.56574664 0.551717 0.55873173 0.006017111        
145 1.45 6.61 0.55171682 0.537622 0.54466941 0.005865671        
146 1.46 6.57 0.53762201 0.52348 0.53055089 0.005713625        
147 1.47 6.53 0.52347977 0.509308 0.51639381 0.005561164        
148 1.48 6.49 0.50930785 0.495124 0.50221599 0.00540848        
149 1.49 6.44 0.49512413 0.480947 0.48803537 0.005255766        
150 1.50 6.40 0.48094661 0.466793 0.47386989 0.005103214        
151 1.51 6.36 0.46679318 0.452682 0.45973741 0.004951018        
152 1.52 6.31 0.45268165 0.43863 0.44565564 0.004799368        
153 1.53 6.27 0.43862964 0.424655 0.43164211 0.004648453        
154 1.54 6.23 0.42465458 0.410774 0.41771409 0.004498459        
155 1.55 6.19 0.41077360 0.397003 0.40388853 0.004349569        
156 1.56 6.14 0.39700347 0.383361 0.39018202 0.00420196        
157 1.57 6.10 0.38336057 0.369861 0.37661068 0.004055807        
158 1.58 6.06 0.36986080 0.35652 0.36319016 0.003911279        
159 1.59 6.02 0.35651953 0.343352 0.34993554 0.003768537        
160 1.60 5.97 0.34335156 0.330371 0.3368613 0.003627737        
161 1.61 5.93 0.33037105 0.317592 0.32398128 0.003489029        
162 1.62 5.89 0.31759151 0.305026 0.31130862 0.003352554        
163 1.63 5.85 0.30502572 0.292686 0.29885572 0.003218446        
164 1.64 5.80 0.29268571 0.280583 0.28663423 0.00308683        
165 1.65 5.76 0.28058274 0.268727 0.27465499 0.002957823        
166 1.66 5.72 0.26872725 0.257129 0.26292805 0.002831533        
167 1.67 5.67 0.25712885 0.245796 0.25146257 0.002708058        
168 1.68 5.63 0.24579629 0.234737 0.24026689 0.00258749        
169 1.69 5.59 0.23473749 0.223959 0.22934846 0.002469907        
170 1.70 5.55 0.22395944 0.213468 0.21871387 0.00235538        
171 1.71 5.50 0.21346830 0.203269 0.20836882 0.002243972        
172 1.72 5.46 0.20326933 0.193367 0.19831813 0.002135734        
173 1.73 5.42 0.19336692 0.183765 0.18856576 0.002030708        
174 1.74 5.38 0.18376459 0.174465 0.1791148 0.001928929        
175 1.75 5.33 0.17446500 0.16547 0.1699675 0.001830419        
176 1.76 5.29 0.16547000 0.156781 0.16112529 0.001735195        
177 1.77 5.25 0.15678059 0.148397 0.15258879 0.001643264        
178 1.78 5.21 0.14839699 0.140319 0.14435783 0.001554623        
179 1.79 5.16 0.14031867 0.132544 0.1364315 0.001469262        
180 1.80 5.12 0.13254433 0.125072 0.12880816 0.001387165        
181 1.81 5.08 0.12507199 0.117899 0.12148549 0.001308305        
182 1.82 5.03 0.11789899 0.111022 0.11446052 0.001232652        
183 1.83 4.99 0.11102204 0.104437 0.10772964 0.001160165        
184 1.84 4.95 0.10443725 0.09814 0.10128871 0.001090801        
185 1.85 4.91 0.09814016 0.092126 0.095133 0.001024509        
186 1.86 4.86 0.09212583 0.086389 0.08925731 0.000961233        
187 1.87 4.82 0.08638880 0.080923 0.083656 0.000900911        
188 1.88 4.78 0.08092320 0.075723 0.07832299 0.000843478        
189 1.89 4.74 0.07572278 0.070781 0.07325185 0.000788866        
190 1.90 4.69 0.07078091 0.066091 0.0684358 0.000737001        
191 1.91 4.65 0.06609068 0.061645 0.06386778 0.000687807        
192 1.92 4.61 0.06164489 0.057436 0.05954051 0.000641205        
193 1.93 4.57 0.05743613 0.053457 0.05544646 0.000597116        
194 1.94 4.52 0.05345679 0.049699 0.05157796 0.000555455        
195 1.95 4.48 0.04969912 0.046155 0.04792719 0.000516139        
196 1.96 4.44 0.04615526 0.042817 0.04448627 0.000479083        
197 1.97 4.39 0.04281727 0.039677 0.04124721 0.000444201        
198 1.98 4.35 0.03967715 0.036727 0.03820203 0.000411406        
199 1.99 4.31 0.03672690 0.033959 0.03534273 0.000380614        
200 2.00 4.27 0.03395856 0.031364 0.03266137 0.000351738        
201 2.01 4.22 0.03136418 0.028936 0.03015004 0.000324693        
202 2.02 4.18 0.02893591 0.026666 0.02780094 0.000299395        
203 2.03 4.14 0.02666597 0.024547 0.02560635 0.000275761        
204 2.04 4.10 0.02454674 0.022571 0.02355871 0.000253709        
205 2.05 4.05 0.02257069 0.02073 0.02165059 0.00023316        
206 2.06 4.01 0.02073049 0.019019 0.01987473 0.000214036        
207 2.07 3.97 0.01901896 0.017429 0.01822404 0.000196259        
208 2.08 3.93 0.01742912 0.015954 0.01669164 0.000179756        
209 2.09 3.88 0.01595417 0.014588 0.01527086 0.000164455        
210 2.10 3.84 0.01458755 0.013323 0.01395522 0.000150287        
211 2.11 3.80 0.01332289 0.012154 0.01273849 0.000137184        
212 2.12 3.75 0.01215408 0.011075 0.01161464 0.000125081        
213 2.13 3.71 0.01107520 0.010081 0.0105779 0.000113916        
214 2.14 3.67 0.01008060 0.009165 0.00962273 0.000103629        
215 2.15 3.63 0.00916486 0.008323 0.00874381 9.41642E-05        
216 2.16 3.58 0.00832277 0.007549 0.00793609 8.54656E-05        
217 2.17 3.54 0.00754941 0.00684 0.00719473 7.74817E-05        
218 2.18 3.50 0.00684006 0.00619 0.00651514 7.01631E-05        
219 2.19 3.46 0.00619023 0.005596 0.00589296 6.34627E-05        
220 2.20 3.41 0.00559569 0.005052 0.00532406 5.73361E-05        
221 2.21 3.37 0.00505243 0.004557 0.00480453 5.17411E-05        
222 2.22 3.33 0.00455664 0.004105 0.00433069 4.66383E-05        
223 2.23 3.29 0.00410475 0.003693 0.00389907 4.199E-05        
224 2.24 3.24 0.00369339 0.003319 0.0035064 3.77612E-05        
225 2.25 3.20 0.00331940 0.00298 0.00314961 3.39189E-05        
226 2.26 3.16 0.00297982 0.002672 0.00282584 3.04321E-05        
227 2.27 3.11 0.00267186 0.002393 0.0025324 2.7272E-05        
228 2.28 3.07 0.00239294 0.002141 0.00226679 2.44116E-05        
229 2.29 3.03 0.00214064 0.001913 0.00202667 2.18257E-05        
230 2.30 2.99 0.00191270 0.001707 0.00180987 1.94909E-05        
231 2.31 2.94 0.00170704 0.001522 0.00161437 1.73855E-05        
232 2.32 2.90 0.00152170 0.001355 0.0014383 1.54894E-05        
233 2.33 2.86 0.00135490 0.001205 0.00127993 1.37839E-05        
234 2.34 2.82 0.00120496 0.00107 0.00113766 1.22518E-05        
235 2.35 2.77 0.00107036 0.00095 0.00101002 1.08771E-05        
236 2.36 2.73 0.00094968 0.000842 0.00089564 9.64538E-06        
237 2.37 2.69 0.00084161 0.000745 0.00079328 8.54303E-06        
238 2.38 2.65 0.00074496 0.000659 0.00070179 7.55775E-06        
239 2.39 2.60 0.00065863 0.000582 0.00062012 6.6782E-06        
240 2.40 2.56 0.00058161 0.000513 0.0005473 5.89404E-06        
241 2.41 2.52 0.00051300 0.000452 0.00048247 5.1958E-06        
242 2.42 2.47 0.00045194 0.000398 0.00042481 4.57486E-06        
243 2.43 2.43 0.00039768 0.00035 0.0003736 4.02335E-06        
244 2.44 2.39 0.00034952 0.000307 0.00032817 3.53412E-06        
245 2.45 2.35 0.00030682 0.000269 0.00028792 3.1007E-06        
246 2.46 2.30 0.00026902 0.000236 0.00025231 2.7172E-06        
247 2.47 2.26 0.00023560 0.000206 0.00022084 2.37829E-06        
248 2.48 2.22 0.00020608 0.00018 0.00019307 2.07918E-06        
249 2.49 2.18 0.00018005 0.000157 0.00016858 1.81552E-06        
250 2.50 2.13 0.00015712 0.000137 0.00014703 1.5834E-06        
251 2.51 2.09 0.00013694 0.000119 0.00012808 1.37932E-06        
252 2.52 2.05 0.00011922 0.000104 0.00011144 1.2001E-06        
253 2.53 2.01 0.00010366 9E-05 9.6842E-05 1.04292E-06        
254 2.54 1.96 0.00009003 7.81E-05 8.4058E-05 9.05237E-07        
255 2.55 1.92 0.00007809 6.77E-05 7.2874E-05 7.84793E-07        
256 2.56 1.88 0.00006766 5.85E-05 6.3102E-05 6.79559E-07        
257 2.57 1.83 0.00005855 5.06E-05 5.4575E-05 5.8773E-07        
258 2.58 1.79 0.00005060 4.37E-05 4.7144E-05 5.07699E-07        
259 2.59 1.75 0.00004368 3.77E-05 4.0675E-05 4.3804E-07        
260 2.60 1.71 0.00003767 3.24E-05 3.5052E-05 3.77484E-07        
261 2.61 1.66 0.00003244 2.79E-05 3.017E-05 3.24908E-07        
262 2.62 1.62 0.00002790 2.4E-05 2.5937E-05 2.79319E-07        
263 2.63 1.58 0.00002397 2.06E-05 2.2271E-05 2.39837E-07        
264 2.64 1.54 0.00002057 1.76E-05 1.91E-05 2.05688E-07        
265 2.65 1.49 0.00001763 1.51E-05 1.636E-05 1.76188E-07        
266 2.66 1.45 0.00001509 1.29E-05 1.3997E-05 1.50737E-07        
267 2.67 1.41 0.00001290 1.1E-05 1.1961E-05 1.28807E-07        
268 2.68 1.37 0.00001102 9.4E-06 1.0208E-05 1.09935E-07        
269 2.69 1.32 0.00000940 8.01E-06 8.702E-06 9.37141E-08        
270 2.70 1.28 0.00000801 6.81E-06 7.4091E-06 7.97901E-08        
271 2.71 1.24 0.00000681 5.79E-06 6.3006E-06 6.78527E-08        
272 2.72 1.19 0.00000579 4.91E-06 5.3515E-06 5.76314E-08        
273 2.73 1.15 0.00000491 4.17E-06 4.5398E-06 4.88905E-08        
274 2.74 1.11 0.00000417 3.53E-06 3.8466E-06 4.14251E-08        
275 2.75 1.07 0.00000353 2.98E-06 3.2553E-06 3.50571E-08        
276 2.76 1.02 0.00000298 2.52E-06 2.7515E-06 2.9632E-08        
277 2.77 0.98 0.00000252 2.13E-06 2.3229E-06 2.5016E-08        
278 2.78 0.94 0.00000213 1.79E-06 1.9587E-06 2.10935E-08        
279 2.79 0.90 0.00000179 1.51E-06 1.6496E-06 1.77644E-08        
280 2.80 0.85 0.00000151 1.27E-06 1.3875E-06 1.49425E-08        
281 2.81 0.81 0.00000127 1.06E-06 1.1657E-06 1.25536E-08        
282 2.82 0.77 0.00000106 8.92E-07 9.7814E-07 1.05338E-08        
283 2.83 0.73 0.00000089 7.47E-07 8.1976E-07 8.82824E-09        
284 2.84 0.68 0.00000075 6.25E-07 6.862E-07 7.3898E-09        
285 2.85 0.64 0.00000063 5.22E-07 5.7369E-07 6.1782E-09        
286 2.86 0.60 0.00000052 4.36E-07 4.7905E-07 5.15895E-09        
287 2.87 0.55 0.00000044 3.63E-07 3.9953E-07 4.3026E-09        
288 2.88 0.51 0.00000036 3.02E-07 3.328E-07 3.58402E-09        
289 2.89 0.47 0.00000030 2.51E-07 2.7688E-07 2.98181E-09        
290 2.90 0.43 0.00000025 2.09E-07 2.3008E-07 2.47776E-09        
291 2.91 0.38 0.00000021 1.73E-07 1.9095E-07 2.0564E-09        
292 2.92 0.34 0.00000017 1.43E-07 1.5829E-07 1.70461E-09        
293 2.93 0.30 0.00000014 1.19E-07 1.3105E-07 1.41127E-09        
294 2.94 0.26 0.00000012 9.81E-08 1.0836E-07 1.16699E-09        
295 2.95 0.21 0.00000010 8.09E-08 8.9496E-08 9.63807E-10        
296 2.96 0.17 0.00000008 6.67E-08 7.3824E-08 7.95027E-10        
297 2.97 0.13 0.00000007 5.49E-08 6.0822E-08 6.55001E-10        
298 2.98 0.09 0.00000005 4.52E-08 5.0048E-08 5.38977E-10        
299 2.99 0.04 0.00000005 3.71E-08 4.1132E-08 4.42962E-10        
300 3.00 0.00 0.00000004 3.04E-08 3.3763E-08 3.63605E-10        
        SUM   1.590144233        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 21.34 vph   K=   3.283076923 vpm      
MU 6.50 mph   N=   10 veh      
SIGMA 1.20 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 4.85   PER HOUR= 20.68
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 2.20     5
        DETERMINISTIC (FOR MU <<<< U)= 4.85      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99999992 1 0.99999992 0.032830766        
2 0.02 12.71 0.99999991 1 0.9999999 0.032830766        
3 0.03 12.67 0.99999989 1 0.99999988 0.032830765        
4 0.04 12.63 0.99999986 1 0.99999985 0.032830764        
5 0.05 12.59 0.99999984 1 0.99999982 0.032830763        
6 0.06 12.54 0.99999980 1 0.99999978 0.032830762        
7 0.07 12.50 0.99999976 1 0.99999974 0.032830761        
8 0.08 12.46 0.99999971 1 0.99999969 0.032830759        
9 0.09 12.42 0.99999966 1 0.99999962 0.032830757        
10 0.10 12.37 0.99999959 1 0.99999955 0.032830754        
11 0.11 12.33 0.99999951 0.999999 0.99999946 0.032830751        
12 0.12 12.29 0.99999941 0.999999 0.99999935 0.032830748        
13 0.13 12.25 0.99999929 0.999999 0.99999922 0.032830744        
14 0.14 12.20 0.99999916 0.999999 0.99999907 0.032830739        
15 0.15 12.16 0.99999899 0.999999 0.9999989 0.032830733        
16 0.16 12.12 0.99999880 0.999999 0.99999869 0.032830726        
17 0.17 12.07 0.99999857 0.999998 0.99999844 0.032830718        
18 0.18 12.03 0.99999830 0.999998 0.99999814 0.032830708        
19 0.19 11.99 0.99999798 0.999998 0.9999978 0.032830697        
20 0.20 11.95 0.99999761 0.999997 0.99999739 0.032830684        
21 0.21 11.90 0.99999717 0.999997 0.99999691 0.032830668        
22 0.22 11.86 0.99999665 0.999996 0.99999635 0.032830649        
23 0.23 11.82 0.99999604 0.999995 0.99999569 0.032830628        
24 0.24 11.78 0.99999533 0.999994 0.99999492 0.032830602        
25 0.25 11.73 0.99999450 0.999994 0.99999401 0.032830573        
26 0.26 11.69 0.99999352 0.999992 0.99999296 0.032830538        
27 0.27 11.65 0.99999239 0.999991 0.99999172 0.032830498        
28 0.28 11.61 0.99999106 0.99999 0.99999029 0.03283045        
29 0.29 11.56 0.99998951 0.999988 0.99998862 0.032830395        
30 0.30 11.52 0.99998772 0.999986 0.99998667 0.032830332        
31 0.31 11.48 0.99998563 0.999983 0.99998442 0.032830258        
32 0.32 11.43 0.99998320 0.99998 0.9999818 0.032830172        
33 0.33 11.39 0.99998040 0.999977 0.99997877 0.032830072        
34 0.34 11.35 0.99997715 0.999973 0.99997527 0.032829957        
35 0.35 11.31 0.99997339 0.999969 0.99997122 0.032829824        
36 0.36 11.26 0.99996905 0.999964 0.99996655 0.032829671        
37 0.37 11.22 0.99996405 0.999958 0.99996117 0.032829494        
38 0.38 11.18 0.99995829 0.999952 0.99995498 0.032829291        
39 0.39 11.14 0.99995166 0.999944 0.99994786 0.032829057        
40 0.40 11.09 0.99994405 0.999935 0.99993969 0.032828789        
41 0.41 11.05 0.99993532 0.999925 0.99993032 0.032828482        
42 0.42 11.01 0.99992532 0.999914 0.9999196 0.03282813        
43 0.43 10.97 0.99991388 0.999901 0.99990734 0.032827727        
44 0.44 10.92 0.99990080 0.999886 0.99989333 0.032827267        
45 0.45 10.88 0.99988587 0.999869 0.99987736 0.032826743        
46 0.46 10.84 0.99986885 0.999849 0.99985916 0.032826145        
47 0.47 10.79 0.99984947 0.999827 0.99983845 0.032825465        
48 0.48 10.75 0.99982743 0.999802 0.99981492 0.032824693        
49 0.49 10.71 0.99980241 0.999774 0.99978822 0.032823816        
50 0.50 10.67 0.99977402 0.999742 0.99975795 0.032822822        
51 0.51 10.62 0.99974187 0.999705 0.99972368 0.032821697        
52 0.52 10.58 0.99970549 0.999664 0.99968494 0.032820426        
53 0.53 10.54 0.99966439 0.999618 0.99964119 0.032818989        
54 0.54 10.50 0.99961800 0.999566 0.99959186 0.03281737        
55 0.55 10.45 0.99956571 0.999507 0.99953629 0.032815545        
56 0.56 10.41 0.99950686 0.999441 0.99947378 0.032813493        
57 0.57 10.37 0.99944069 0.999366 0.99940354 0.032811187        
58 0.58 10.33 0.99936640 0.999283 0.99932474 0.0328086        
59 0.59 10.28 0.99928308 0.99919 0.99923643 0.0328057        
60 0.60 10.24 0.99918977 0.999085 0.99913758 0.032802455        
61 0.61 10.20 0.99908539 0.998969 0.99902709 0.032798828        
62 0.62 10.15 0.99896878 0.998839 0.99890373 0.032794778        
63 0.63 10.11 0.99883868 0.998694 0.99876618 0.032790262        
64 0.64 10.07 0.99869369 0.998532 0.99861301 0.032785233        
65 0.65 10.03 0.99853233 0.998353 0.99844265 0.03277964        
66 0.66 9.98 0.99835298 0.998154 0.99825342 0.032773428        
67 0.67 9.94 0.99815387 0.997933 0.99804349 0.032766535        
68 0.68 9.90 0.99793311 0.997689 0.99781088 0.032758899        
69 0.69 9.86 0.99768865 0.997418 0.99755348 0.032750448        
70 0.70 9.81 0.99741830 0.99712 0.997269 0.032741108        
71 0.71 9.77 0.99711969 0.99679 0.99695498 0.032730799        
72 0.72 9.73 0.99679028 0.996427 0.99660882 0.032719434        
73 0.73 9.69 0.99642735 0.996028 0.99622768 0.032706921        
74 0.74 9.64 0.99602800 0.995589 0.99580857 0.032693161        
75 0.75 9.60 0.99558913 0.995107 0.99534828 0.03267805        
76 0.76 9.56 0.99510743 0.994579 0.99484342 0.032661475        
77 0.77 9.51 0.99457940 0.994001 0.99429035 0.032643317        
78 0.78 9.47 0.99400131 0.993369 0.99368526 0.032623451        
79 0.79 9.43 0.99336921 0.992679 0.99302406 0.032601744        
80 0.80 9.39 0.99267892 0.991926 0.99230249 0.032578054        
81 0.81 9.34 0.99192606 0.991106 0.99151601 0.032552233        
82 0.82 9.30 0.99110597 0.990214 0.99065988 0.032524126        
83 0.83 9.26 0.99021379 0.989244 0.9897291 0.032493568        
84 0.84 9.22 0.98924440 0.988192 0.98871843 0.032460387        
85 0.85 9.17 0.98819246 0.987052 0.98762242 0.032424404        
86 0.86 9.13 0.98705237 0.985818 0.98643535 0.032385431        
87 0.87 9.09 0.98581832 0.984484 0.98515128 0.032343274        
88 0.88 9.05 0.98448423 0.983044 0.98376403 0.03229773        
89 0.89 9.00 0.98304383 0.981491 0.98226722 0.032248589        
90 0.90 8.96 0.98149061 0.979818 0.98065423 0.032195633        
91 0.91 8.92 0.97981785 0.978019 0.97891824 0.032138639        
92 0.92 8.87 0.97801862 0.976086 0.97705222 0.032077376        
93 0.93 8.83 0.97608581 0.974012 0.97504897 0.032011608        
94 0.94 8.79 0.97401212 0.97179 0.97290111 0.031941092        
95 0.95 8.75 0.97179010 0.969412 0.97060111 0.031865581        
96 0.96 8.70 0.96941213 0.966871 0.96814132 0.031784824        
97 0.97 8.66 0.96687050 0.964157 0.96551393 0.031698565        
98 0.98 8.62 0.96415737 0.961265 0.9627111 0.031606546        
99 0.99 8.58 0.96126483 0.958185 0.95972486 0.031508506        
100 1.00 8.53 0.95818490 0.95491 0.95654725 0.031404182        
101 1.01 8.49 0.95490960 0.951431 0.95317026 0.031293313        
102 1.02 8.45 0.95143093 0.947741 0.94958593 0.031175636        
103 1.03 8.41 0.94774093 0.943832 0.94578631 0.031050892        
104 1.04 8.36 0.94383170 0.939695 0.94176358 0.030918823        
105 1.05 8.32 0.93969546 0.935325 0.93751 0.030779175        
106 1.06 8.28 0.93532455 0.930711 0.93301801 0.030631699        
107 1.07 8.23 0.93071148 0.925849 0.92828025 0.030476155        
108 1.08 8.19 0.92584901 0.92073 0.92328956 0.030312306        
109 1.09 8.15 0.92073011 0.915348 0.91803909 0.030139929        
110 1.10 8.11 0.91534807 0.909697 0.91252229 0.029958809        
111 1.11 8.06 0.90969651 0.903769 0.90673298 0.029768741        
112 1.12 8.02 0.90376944 0.897561 0.90066536 0.029569537        
113 1.13 7.98 0.89756127 0.891067 0.89431408 0.029361019        
114 1.14 7.94 0.89106689 0.884282 0.88767429 0.02914303        
115 1.15 7.89 0.88428169 0.877202 0.88074164 0.028915425        
116 1.16 7.85 0.87720159 0.869823 0.87351235 0.028678082        
117 1.17 7.81 0.86982311 0.862143 0.86598325 0.028430896        
118 1.18 7.77 0.86214339 0.85416 0.85815181 0.028173784        
119 1.19 7.72 0.85416023 0.845872 0.85001618 0.027906685        
120 1.20 7.68 0.84587213 0.837278 0.84157521 0.027629562        
121 1.21 7.64 0.83727830 0.828379 0.83282851 0.027342401        
122 1.22 7.59 0.82837872 0.819174 0.82377644 0.027045214        
123 1.23 7.55 0.81917415 0.809666 0.81442017 0.026738041        
124 1.24 7.51 0.80966618 0.799857 0.8047617 0.026420946        
125 1.25 7.47 0.79985721 0.78975 0.79480385 0.026094022        
126 1.26 7.42 0.78975048 0.77935 0.7845503 0.02575739        
127 1.27 7.38 0.77935012 0.768661 0.77400562 0.0254112        
128 1.28 7.34 0.76866112 0.757689 0.76317523 0.02505563        
129 1.29 7.30 0.75768934 0.746442 0.75206543 0.024690887        
130 1.30 7.25 0.74644152 0.734925 0.74068341 0.024317206        
131 1.31 7.21 0.73492530 0.723149 0.72903723 0.023934853        
132 1.32 7.17 0.72314915 0.711122 0.7171358 0.02354412        
133 1.33 7.13 0.71112244 0.698855 0.70498888 0.023145327        
134 1.34 7.08 0.69885533 0.686359 0.69260709 0.022738823        
135 1.35 7.04 0.68635884 0.673645 0.6800018 0.022324982        
136 1.36 7.00 0.67364476 0.660726 0.6671852 0.021904203        
137 1.37 6.95 0.66072564 0.647615 0.6541702 0.021476911        
138 1.38 6.91 0.64761476 0.634326 0.64097042 0.021043552        
139 1.39 6.87 0.63432608 0.620874 0.62760015 0.020604596        
140 1.40 6.83 0.62087422 0.607274 0.61407429 0.020160531        
141 1.41 6.78 0.60727436 0.593542 0.60040831 0.019711867        
142 1.42 6.74 0.59354226 0.579694 0.58661819 0.019259127        
143 1.43 6.70 0.57969413 0.565747 0.57272039 0.018802851        
144 1.44 6.66 0.56574664 0.551717 0.55873173 0.018343593        
145 1.45 6.61 0.55171682 0.537622 0.54466941 0.017881916        
146 1.46 6.57 0.53762201 0.52348 0.53055089 0.017418394        
147 1.47 6.53 0.52347977 0.509308 0.51639381 0.016953606        
148 1.48 6.49 0.50930785 0.495124 0.50221599 0.016488137        
149 1.49 6.44 0.49512413 0.480947 0.48803537 0.016022577        
150 1.50 6.40 0.48094661 0.466793 0.47386989 0.015557513        
151 1.51 6.36 0.46679318 0.452682 0.45973741 0.015093533        
152 1.52 6.31 0.45268165 0.43863 0.44565564 0.014631218        
153 1.53 6.27 0.43862964 0.424655 0.43164211 0.014171143        
154 1.54 6.23 0.42465458 0.410774 0.41771409 0.013713875        
155 1.55 6.19 0.41077360 0.397003 0.40388853 0.013259971        
156 1.56 6.14 0.39700347 0.383361 0.39018202 0.012809976        
157 1.57 6.10 0.38336057 0.369861 0.37661068 0.012364418        
158 1.58 6.06 0.36986080 0.35652 0.36319016 0.011923812        
159 1.59 6.02 0.35651953 0.343352 0.34993554 0.011488653        
160 1.60 5.97 0.34335156 0.330371 0.3368613 0.011059416        
161 1.61 5.93 0.33037105 0.317592 0.32398128 0.010636555        
162 1.62 5.89 0.31759151 0.305026 0.31130862 0.010220501        
163 1.63 5.85 0.30502572 0.292686 0.29885572 0.009811663        
164 1.64 5.80 0.29268571 0.280583 0.28663423 0.009410422        
165 1.65 5.76 0.28058274 0.268727 0.27465499 0.009017135        
166 1.66 5.72 0.26872725 0.257129 0.26292805 0.00863213        
167 1.67 5.67 0.25712885 0.245796 0.25146257 0.00825571        
168 1.68 5.63 0.24579629 0.234737 0.24026689 0.007888147        
169 1.69 5.59 0.23473749 0.223959 0.22934846 0.007529686        
170 1.70 5.55 0.22395944 0.213468 0.21871387 0.007180545        
171 1.71 5.50 0.21346830 0.203269 0.20836882 0.006840909        
172 1.72 5.46 0.20326933 0.193367 0.19831813 0.006510937        
173 1.73 5.42 0.19336692 0.183765 0.18856576 0.006190759        
174 1.74 5.38 0.18376459 0.174465 0.1791148 0.005880477        
175 1.75 5.33 0.17446500 0.16547 0.1699675 0.005580164        
176 1.76 5.29 0.16547000 0.156781 0.16112529 0.005289867        
177 1.77 5.25 0.15678059 0.148397 0.15258879 0.005009607        
178 1.78 5.21 0.14839699 0.140319 0.14435783 0.004739379        
179 1.79 5.16 0.14031867 0.132544 0.1364315 0.004479151        
180 1.80 5.12 0.13254433 0.125072 0.12880816 0.004228871        
181 1.81 5.08 0.12507199 0.117899 0.12148549 0.003988462        
182 1.82 5.03 0.11789899 0.111022 0.11446052 0.003757827        
183 1.83 4.99 0.11102204 0.104437 0.10772964 0.003536847        
184 1.84 4.95 0.10443725 0.09814 0.10128871 0.003325386        
185 1.85 4.91 0.09814016 0.092126 0.095133 0.003123289        
186 1.86 4.86 0.09212583 0.086389 0.08925731 0.002930386        
187 1.87 4.82 0.08638880 0.080923 0.083656 0.002746491        
188 1.88 4.78 0.08092320 0.075723 0.07832299 0.002571404        
189 1.89 4.74 0.07572278 0.070781 0.07325185 0.002404914        
190 1.90 4.69 0.07078091 0.066091 0.0684358 0.0022468        
191 1.91 4.65 0.06609068 0.061645 0.06386778 0.002096828        
192 1.92 4.61 0.06164489 0.057436 0.05954051 0.001954761        
193 1.93 4.57 0.05743613 0.053457 0.05544646 0.00182035        
194 1.94 4.52 0.05345679 0.049699 0.05157796 0.001693344        
195 1.95 4.48 0.04969912 0.046155 0.04792719 0.001573487        
196 1.96 4.44 0.04615526 0.042817 0.04448627 0.001460518        
197 1.97 4.39 0.04281727 0.039677 0.04124721 0.001354178        
198 1.98 4.35 0.03967715 0.036727 0.03820203 0.001254202        
199 1.99 4.31 0.03672690 0.033959 0.03534273 0.001160329        
200 2.00 4.27 0.03395856 0.031364 0.03266137 0.001072298        
201 2.01 4.22 0.03136418 0.028936 0.03015004 0.000989849        
202 2.02 4.18 0.02893591 0.026666 0.02780094 0.000912726        
203 2.03 4.14 0.02666597 0.024547 0.02560635 0.000840676        
204 2.04 4.10 0.02454674 0.022571 0.02355871 0.000773451        
205 2.05 4.05 0.02257069 0.02073 0.02165059 0.000710806        
206 2.06 4.01 0.02073049 0.019019 0.01987473 0.000652503        
207 2.07 3.97 0.01901896 0.017429 0.01822404 0.000598309        
208 2.08 3.93 0.01742912 0.015954 0.01669164 0.000547999        
209 2.09 3.88 0.01595417 0.014588 0.01527086 0.000501354        
210 2.10 3.84 0.01458755 0.013323 0.01395522 0.000458161        
211 2.11 3.80 0.01332289 0.012154 0.01273849 0.000418214        
212 2.12 3.75 0.01215408 0.011075 0.01161464 0.000381318        
213 2.13 3.71 0.01107520 0.010081 0.0105779 0.000347281        
214 2.14 3.67 0.01008060 0.009165 0.00962273 0.000315922        
215 2.15 3.63 0.00916486 0.008323 0.00874381 0.000287066        
216 2.16 3.58 0.00832277 0.007549 0.00793609 0.000260548        
217 2.17 3.54 0.00754941 0.00684 0.00719473 0.000236209        
218 2.18 3.50 0.00684006 0.00619 0.00651514 0.000213897        
219 2.19 3.46 0.00619023 0.005596 0.00589296 0.000193471        
220 2.20 3.41 0.00559569 0.005052 0.00532406 0.000174793        
221 2.21 3.37 0.00505243 0.004557 0.00480453 0.000157737        
222 2.22 3.33 0.00455664 0.004105 0.00433069 0.00014218        
223 2.23 3.29 0.00410475 0.003693 0.00389907 0.000128009        
224 2.24 3.24 0.00369339 0.003319 0.0035064 0.000115118        
225 2.25 3.20 0.00331940 0.00298 0.00314961 0.000103404        
226 2.26 3.16 0.00297982 0.002672 0.00282584 9.27745E-05        
227 2.27 3.11 0.00267186 0.002393 0.0025324 8.31407E-05        
228 2.28 3.07 0.00239294 0.002141 0.00226679 7.44205E-05        
229 2.29 3.03 0.00214064 0.001913 0.00202667 6.65372E-05        
230 2.30 2.99 0.00191270 0.001707 0.00180987 5.94194E-05        
231 2.31 2.94 0.00170704 0.001522 0.00161437 5.3001E-05        
232 2.32 2.90 0.00152170 0.001355 0.0014383 4.72205E-05        
233 2.33 2.86 0.00135490 0.001205 0.00127993 4.20212E-05        
234 2.34 2.82 0.00120496 0.00107 0.00113766 3.73504E-05        
235 2.35 2.77 0.00107036 0.00095 0.00101002 3.31597E-05        
236 2.36 2.73 0.00094968 0.000842 0.00089564 2.94046E-05        
237 2.37 2.69 0.00084161 0.000745 0.00079328 2.60441E-05        
238 2.38 2.65 0.00074496 0.000659 0.00070179 2.30403E-05        
239 2.39 2.60 0.00065863 0.000582 0.00062012 2.0359E-05        
240 2.40 2.56 0.00058161 0.000513 0.0005473 1.79684E-05        
241 2.41 2.52 0.00051300 0.000452 0.00048247 1.58398E-05        
242 2.42 2.47 0.00045194 0.000398 0.00042481 1.39468E-05        
243 2.43 2.43 0.00039768 0.00035 0.0003736 1.22655E-05        
244 2.44 2.39 0.00034952 0.000307 0.00032817 1.0774E-05        
245 2.45 2.35 0.00030682 0.000269 0.00028792 9.4527E-06        
246 2.46 2.30 0.00026902 0.000236 0.00025231 8.28357E-06        
247 2.47 2.26 0.00023560 0.000206 0.00022084 7.2504E-06        
248 2.48 2.22 0.00020608 0.00018 0.00019307 6.33853E-06        
249 2.49 2.18 0.00018005 0.000157 0.00016858 5.53475E-06        
250 2.50 2.13 0.00015712 0.000137 0.00014703 4.82712E-06        
251 2.51 2.09 0.00013694 0.000119 0.00012808 4.20494E-06        
252 2.52 2.05 0.00011922 0.000104 0.00011144 3.65858E-06        
253 2.53 2.01 0.00010366 9E-05 9.6842E-05 3.17941E-06        
254 2.54 1.96 0.00009003 7.81E-05 8.4058E-05 2.75968E-06        
255 2.55 1.92 0.00007809 6.77E-05 7.2874E-05 2.3925E-06        
256 2.56 1.88 0.00006766 5.85E-05 6.3102E-05 2.07168E-06        
257 2.57 1.83 0.00005855 5.06E-05 5.4575E-05 1.79174E-06        
258 2.58 1.79 0.00005060 4.37E-05 4.7144E-05 1.54776E-06        
259 2.59 1.75 0.00004368 3.77E-05 4.0675E-05 1.3354E-06        
260 2.60 1.71 0.00003767 3.24E-05 3.5052E-05 1.15079E-06        
261 2.61 1.66 0.00003244 2.79E-05 3.017E-05 9.90507E-07        
262 2.62 1.62 0.00002790 2.4E-05 2.5937E-05 8.51524E-07        
263 2.63 1.58 0.00002397 2.06E-05 2.2271E-05 7.3116E-07        
264 2.64 1.54 0.00002057 1.76E-05 1.91E-05 6.27054E-07        
265 2.65 1.49 0.00001763 1.51E-05 1.636E-05 5.37123E-07        
266 2.66 1.45 0.00001509 1.29E-05 1.3997E-05 4.59534E-07        
267 2.67 1.41 0.00001290 1.1E-05 1.1961E-05 3.92679E-07        
268 2.68 1.37 0.00001102 9.4E-06 1.0208E-05 3.35144E-07        
269 2.69 1.32 0.00000940 8.01E-06 8.702E-06 2.85694E-07        
270 2.70 1.28 0.00000801 6.81E-06 7.4091E-06 2.43246E-07        
271 2.71 1.24 0.00000681 5.79E-06 6.3006E-06 2.06854E-07        
272 2.72 1.19 0.00000579 4.91E-06 5.3515E-06 1.75693E-07        
273 2.73 1.15 0.00000491 4.17E-06 4.5398E-06 1.49046E-07        
274 2.74 1.11 0.00000417 3.53E-06 3.8466E-06 1.26287E-07        
275 2.75 1.07 0.00000353 2.98E-06 3.2553E-06 1.06874E-07        
276 2.76 1.02 0.00000298 2.52E-06 2.7515E-06 9.03353E-08        
277 2.77 0.98 0.00000252 2.13E-06 2.3229E-06 7.62632E-08        
278 2.78 0.94 0.00000213 1.79E-06 1.9587E-06 6.4305E-08        
279 2.79 0.90 0.00000179 1.51E-06 1.6496E-06 5.4156E-08        
280 2.80 0.85 0.00000151 1.27E-06 1.3875E-06 4.55534E-08        
281 2.81 0.81 0.00000127 1.06E-06 1.1657E-06 3.82707E-08        
282 2.82 0.77 0.00000106 8.92E-07 9.7814E-07 3.21131E-08        
283 2.83 0.73 0.00000089 7.47E-07 8.1976E-07 2.69135E-08        
284 2.84 0.68 0.00000075 6.25E-07 6.862E-07 2.25283E-08        
285 2.85 0.64 0.00000063 5.22E-07 5.7369E-07 1.88347E-08        
286 2.86 0.60 0.00000052 4.36E-07 4.7905E-07 1.57274E-08        
287 2.87 0.55 0.00000044 3.63E-07 3.9953E-07 1.31168E-08        
288 2.88 0.51 0.00000036 3.02E-07 3.328E-07 1.09261E-08        
289 2.89 0.47 0.00000030 2.51E-07 2.7688E-07 9.09026E-09        
290 2.90 0.43 0.00000025 2.09E-07 2.3008E-07 7.55363E-09        
291 2.91 0.38 0.00000021 1.73E-07 1.9095E-07 6.26908E-09        
292 2.92 0.34 0.00000017 1.43E-07 1.5829E-07 5.19662E-09        
293 2.93 0.30 0.00000014 1.19E-07 1.3105E-07 4.30237E-09        
294 2.94 0.26 0.00000012 9.81E-08 1.0836E-07 3.55765E-09        
295 2.95 0.21 0.00000010 8.09E-08 8.9496E-08 2.93823E-09        
296 2.96 0.17 0.00000008 6.67E-08 7.3824E-08 2.4237E-09        
297 2.97 0.13 0.00000007 5.49E-08 6.0822E-08 1.99682E-09        
298 2.98 0.09 0.00000005 4.52E-08 5.0048E-08 1.64311E-09        
299 2.99 0.04 0.00000005 3.71E-08 4.1132E-08 1.3504E-09        
300 3.00 0.00 0.00000004 3.04E-08 3.3763E-08 1.10847E-09        
        SUM   4.847668277        

 

FHWA-HRT-05-138

ResearchFHWA
FHWA
United States Department of Transportation - Federal Highway Administration