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

Shared-Use Path Level of Service Calculator

Meetings Runner

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.1776
Qo= 15.54 vph   Ko=   2.390769 veh/mile        
MU 6.50 mph   No=   7  veh        
SIGMA 1.20 mph   ALPHAO= 0.4183 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 10.81   PER HOUR= 46.14
        STANDARD DEVIATION= 3.29     1
        DETERMINISTIC  EQUATION= 10.81      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       7.172308          
1 0.01 0.042667 0.99999997 1 1 0.023908          
2 0.02 0.085333 0.99999996 1 1 0.023908          
3 0.03 0.128 0.99999995 1 1 0.023908          
4 0.04 0.170667 0.99999995 1 1 0.023908          
5 0.05 0.213333 0.99999993 1 1 0.023908          
6 0.06 0.256 0.99999992 1 1 0.023908          
7 0.07 0.298667 0.9999999 1 1 0.023908          
8 0.08 0.341333 0.99999988 1 1 0.023908          
9 0.09 0.384 0.99999986 1 1 0.023908          
10 0.1 0.426667 0.99999983 1 1 0.023908          
11 0.11 0.469333 0.99999979 1 1 0.023908          
12 0.12 0.512 0.99999975 1 1 0.023908          
13 0.13 0.554667 0.9999997 1 1 0.023908          
14 0.14 0.597333 0.99999964 1 1 0.023908          
15 0.15 0.64 0.99999956 0.999999 1 0.023908          
16 0.16 0.682667 0.99999948 0.999999 0.999999 0.023908          
17 0.17 0.725333 0.99999937 0.999999 0.999999 0.023908          
18 0.18 0.768 0.99999925 0.999999 0.999999 0.023908          
19 0.19 0.810667 0.99999911 0.999999 0.999999 0.023908          
20 0.2 0.853333 0.99999894 0.999999 0.999999 0.023908          
21 0.21 0.896 0.99999873 0.999998 0.999999 0.023908          
22 0.22 0.938667 0.99999849 0.999998 0.999998 0.023908          
23 0.23 0.981333 0.99999821 0.999998 0.999998 0.023908          
24 0.24 1.024 0.99999787 0.999997 0.999998 0.023908          
25 0.25 1.066667 0.99999748 0.999997 0.999997 0.023908          
26 0.26 1.109333 0.99999702 0.999996 0.999997 0.023908          
27 0.27 1.152 0.99999647 0.999996 0.999996 0.023908          
28 0.28 1.194667 0.99999583 0.999995 0.999995 0.023908          
29 0.29 1.237333 0.99999509 0.999994 0.999995 0.023908          
30 0.3 1.28 0.99999421 0.999993 0.999994 0.023908          
31 0.31 1.322667 0.99999319 0.999992 0.999993 0.023908          
32 0.32 1.365333 0.99999199 0.999991 0.999991 0.023907          
33 0.33 1.408 0.9999906 0.999989 0.99999 0.023907          
34 0.34 1.450667 0.99998898 0.999987 0.999988 0.023907          
35 0.35 1.493333 0.9999871 0.999985 0.999986 0.023907          
36 0.36 1.536 0.99998491 0.999982 0.999984 0.023907          
37 0.37 1.578667 0.99998237 0.999979 0.999981 0.023907          
38 0.38 1.621333 0.99997943 0.999976 0.999978 0.023907          
39 0.39 1.664 0.99997603 0.999972 0.999974 0.023907          
40 0.4 1.706667 0.9999721 0.999968 0.99997 0.023907          
41 0.41 1.749333 0.99996756 0.999962 0.999965 0.023907          
42 0.42 1.792 0.99996233 0.999956 0.999959 0.023907          
43 0.43 1.834667 0.99995632 0.999949 0.999953 0.023907          
44 0.44 1.877333 0.9999494 0.999941 0.999945 0.023906          
45 0.45 1.92 0.99994145 0.999932 0.999937 0.023906          
46 0.46 1.962667 0.99993234 0.999922 0.999927 0.023906          
47 0.47 2.005333 0.99992191 0.99991 0.999916 0.023906          
48 0.48 2.048 0.99990997 0.999896 0.999903 0.023905          
49 0.49 2.090667 0.99989634 0.999881 0.999889 0.023905          
50 0.5 2.133333 0.99988078 0.999863 0.999872 0.023905          
51 0.51 2.176 0.99986306 0.999843 0.999853 0.023904          
52 0.52 2.218667 0.99984288 0.99982 0.999831 0.023904          
53 0.53 2.261333 0.99981995 0.999794 0.999807 0.023903          
54 0.54 2.304 0.99979392 0.999764 0.999779 0.023902          
55 0.55 2.346667 0.9997644 0.999731 0.999748 0.023902          
56 0.56 2.389333 0.99973098 0.999693 0.999712 0.023901          
57 0.57 2.432 0.99969318 0.99965 0.999672 0.0239          
58 0.58 2.474667 0.99965048 0.999602 0.999626 0.023899          
59 0.59 2.517333 0.99960232 0.999548 0.999575 0.023898          
60 0.6 2.56 0.99954806 0.999487 0.999518 0.023896          
61 0.61 2.602667 0.999487 0.999418 0.999453 0.023895          
62 0.62 2.645333 0.99941839 0.999341 0.99938 0.023893          
63 0.63 2.688 0.99934137 0.999255 0.999298 0.023891          
64 0.64 2.730667 0.99925504 0.999158 0.999207 0.023889          
65 0.65 2.773333 0.99915839 0.99905 0.999104 0.023886          
66 0.66 2.816 0.99905032 0.99893 0.99899 0.023884          
67 0.67 2.858667 0.99892964 0.998795 0.998862 0.02388          
68 0.68 2.901333 0.99879504 0.998645 0.99872 0.023877          
69 0.69 2.944 0.9986451 0.998478 0.998562 0.023873          
70 0.7 2.986667 0.9984783 0.998293 0.998386 0.023869          
71 0.71 3.029333 0.99829296 0.998087 0.99819 0.023864          
72 0.72 3.072 0.9980873 0.997859 0.997973 0.023859          
73 0.73 3.114667 0.99785936 0.997607 0.997733 0.023853          
74 0.74 3.157333 0.99760706 0.997328 0.997468 0.023847          
75 0.75 3.2 0.99732814 0.99702 0.997174 0.02384          
76 0.76 3.242667 0.99702018 0.996681 0.99685 0.023832          
77 0.77 3.285333 0.9966806 0.996307 0.996494 0.023824          
78 0.78 3.328 0.99630661 0.995895 0.996101 0.023814          
79 0.79 3.370667 0.99589525 0.995443 0.995669 0.023804          
80 0.8 3.413333 0.99544336 0.994948 0.995195 0.023793          
81 0.81 3.456 0.99494757 0.994404 0.994676 0.02378          
82 0.82 3.498667 0.99440431 0.99381 0.994107 0.023767          
83 0.83 3.541333 0.99380977 0.99316 0.993485 0.023752          
84 0.84 3.584 0.99315994 0.992451 0.992805 0.023736          
85 0.85 3.626667 0.99245059 0.991677 0.992064 0.023718          
86 0.86 3.669333 0.99167723 0.990835 0.991256 0.023699          
87 0.87 3.712 0.99083514 0.989919 0.990377 0.023678          
88 0.88 3.754667 0.9899194 0.988925 0.989422 0.023655          
89 0.89 3.797333 0.9889248 0.987846 0.988385 0.02363          
90 0.9 3.84 0.98784592 0.986677 0.987262 0.023603          
91 0.91 3.882667 0.98667711 0.985412 0.986045 0.023574          
92 0.92 3.925333 0.98541245 0.984046 0.984729 0.023543          
93 0.93 3.968 0.98404583 0.982571 0.983308 0.023509          
94 0.94 4.010667 0.98257088 0.980981 0.981776 0.023472          
95 0.95 4.053333 0.98098104 0.97927 0.980125 0.023433          
96 0.96 4.096 0.97926951 0.977429 0.978349 0.02339          
97 0.97 4.138667 0.97742931 0.975453 0.976441 0.023344          
98 0.98 4.181333 0.97545326 0.973334 0.974394 0.023296          
99 0.99 4.224 0.97333403 0.971064 0.972199 0.023243          
100 1 4.266667 0.97106409 0.968636 0.96985 0.023187          
101 1.01 4.309333 0.96863582 0.966041 0.967339 0.023127          
102 1.02 4.352 0.96604144 0.963273 0.964657 0.023063          
103 1.03 4.394667 0.9632731 0.960323 0.961798 0.022994          
104 1.04 4.437333 0.96032285 0.957183 0.958753 0.022922          
105 1.05 4.48 0.95718273 0.953845 0.955514 0.022844          
106 1.06 4.522667 0.95384474 0.950301 0.952073 0.022762          
107 1.07 4.565333 0.95030088 0.946543 0.948422 0.022675          
108 1.08 4.608 0.94654321 0.942564 0.944554 0.022582          
109 1.09 4.650667 0.94256387 0.938355 0.940459 0.022484          
110 1.1 4.693333 0.93835511 0.933909 0.936132 0.022381          
111 1.11 4.736 0.93390932 0.929219 0.931564 0.022272          
112 1.12 4.778667 0.92921909 0.924277 0.926748 0.022156          
113 1.13 4.821333 0.92427722 0.919077 0.921677 0.022035          
114 1.14 4.864 0.9190768 0.913611 0.916344 0.021908          
115 1.15 4.906667 0.9136112 0.907874 0.910743 0.021774          
116 1.16 4.949333 0.90787417 0.90186 0.904867 0.021633          
117 1.17 4.992 0.90185984 0.895563 0.898711 0.021486          
118 1.18 5.034667 0.89556275 0.888978 0.89227 0.021332          
119 1.19 5.077333 0.88897796 0.882101 0.885539 0.021171          
120 1.2 5.12 0.88210101 0.874928 0.878515 0.021003          
121 1.21 5.162667 0.87492801 0.867456 0.871192 0.020828          
122 1.22 5.205333 0.86745567 0.859681 0.863569 0.020646          
123 1.23 5.248 0.85968133 0.851603 0.855642 0.020456          
124 1.24 5.290667 0.85160301 0.843219 0.847411 0.02026          
125 1.25 5.333333 0.84321941 0.83453 0.838875 0.020056          
126 1.26 5.376 0.83453 0.825535 0.830032 0.019844          
127 1.27 5.418667 0.825535 0.816235 0.820885 0.019625          
128 1.28 5.461333 0.81623541 0.806633 0.811434 0.0194          
129 1.29 5.504 0.80663308 0.796731 0.801682 0.019166          
130 1.3 5.546667 0.79673067 0.786532 0.791631 0.018926          
131 1.31 5.589333 0.7865317 0.776041 0.781286 0.018679          
132 1.32 5.632 0.77604056 0.765263 0.770652 0.018424          
133 1.33 5.674667 0.76526251 0.754204 0.759733 0.018163          
134 1.34 5.717333 0.75420371 0.742871 0.748537 0.017896          
135 1.35 5.76 0.74287115 0.731273 0.737072 0.017622          
136 1.36 5.802667 0.73127275 0.719417 0.725345 0.017341          
137 1.37 5.845333 0.71941726 0.707314 0.713366 0.017055          
138 1.38 5.888 0.70731429 0.694974 0.701144 0.016763          
139 1.39 5.930667 0.69497428 0.682408 0.688691 0.016465          
140 1.4 5.973333 0.68240849 0.669629 0.676019 0.016162          
141 1.41 6.016 0.66962895 0.656648 0.663139 0.015854          
142 1.42 6.058667 0.65664844 0.64348 0.650064 0.015542          
143 1.43 6.101333 0.64348047 0.630139 0.63681 0.015225          
144 1.44 6.144 0.6301392 0.616639 0.623389 0.014904          
145 1.45 6.186667 0.61663943 0.602997 0.609818 0.014579          
146 1.46 6.229333 0.60299653 0.589226 0.596111 0.014252          
147 1.47 6.272 0.5892264 0.575345 0.582286 0.013921          
148 1.48 6.314667 0.57534542 0.56137 0.568358 0.013588          
149 1.49 6.357333 0.56137036 0.547318 0.554344 0.013253          
150 1.5 6.4 0.54731835 0.533207 0.540263 0.012916          
151 1.51 6.442667 0.53320682 0.519053 0.52613 0.012579          
152 1.52 6.485333 0.51905339 0.504876 0.511965 0.01224          
153 1.53 6.528 0.50487587 0.490692 0.497784 0.011901          
154 1.54 6.570667 0.49069215 0.47652 0.483606 0.011562          
155 1.55 6.613333 0.47652023 0.462378 0.469449 0.011223          
156 1.56 6.656 0.46237799 0.448283 0.455331 0.010886          
157 1.57 6.698667 0.44828318 0.434253 0.441268 0.01055          
158 1.58 6.741333 0.43425336 0.420306 0.42728 0.010215          
159 1.59 6.784 0.42030587 0.406458 0.413382 0.009883          
160 1.6 6.826667 0.40645774 0.392726 0.399592 0.009553          
161 1.61 6.869333 0.39272564 0.379126 0.385926 0.009227          
162 1.62 6.912 0.37912578 0.365674 0.3724 0.008903          
163 1.63 6.954667 0.36567392 0.352385 0.35903 0.008584          
164 1.64 6.997333 0.35238524 0.339274 0.34583 0.008268          
165 1.65 7.04 0.33927436 0.326355 0.332815 0.007957          
166 1.66 7.082667 0.32635524 0.313641 0.319998 0.00765          
167 1.67 7.125333 0.31364116 0.301145 0.307393 0.007349          
168 1.68 7.168 0.30114467 0.288878 0.295011 0.007053          
169 1.69 7.210667 0.28887756 0.276851 0.282864 0.006763          
170 1.7 7.253333 0.27685085 0.265075 0.270963 0.006478          
171 1.71 7.296 0.2650747 0.253558 0.259317 0.0062          
172 1.72 7.338667 0.25355848 0.242311 0.247935 0.005928          
173 1.73 7.381333 0.24231066 0.231339 0.236825 0.005662          
174 1.74 7.424 0.23133888 0.22065 0.225994 0.005403          
175 1.75 7.466667 0.22064988 0.21025 0.21545 0.005151          
176 1.76 7.509333 0.21024952 0.200143 0.205196 0.004906          
177 1.77 7.552 0.20014279 0.190334 0.195238 0.004668          
178 1.78 7.594667 0.19033382 0.180826 0.18558 0.004437          
179 1.79 7.637333 0.18082585 0.171621 0.176224 0.004213          
180 1.8 7.68 0.17162128 0.162722 0.167171 0.003997          
181 1.81 7.722667 0.1627217 0.154128 0.158425 0.003788          
182 1.82 7.765333 0.15412787 0.14584 0.149984 0.003586          
183 1.83 7.808 0.14583977 0.137857 0.141848 0.003391          
184 1.84 7.850667 0.13785661 0.130177 0.134017 0.003204          
185 1.85 7.893333 0.13017689 0.122798 0.126488 0.003024          
186 1.86 7.936 0.12279841 0.115718 0.119258 0.002851          
187 1.87 7.978667 0.11571831 0.108933 0.112326 0.002685          
188 1.88 8.021333 0.10893311 0.102439 0.105686 0.002527          
189 1.89 8.064 0.10243873 0.096231 0.099335 0.002375          
190 1.9 8.106667 0.09623056 0.090303 0.093267 0.00223          
191 1.91 8.149333 0.09030349 0.084652 0.087478 0.002091          
192 1.92 8.192 0.08465193 0.07927 0.081961 0.001959          
193 1.93 8.234667 0.07926989 0.074151 0.07671 0.001834          
194 1.94 8.277333 0.07415099 0.069289 0.07172 0.001715          
195 1.95 8.32 0.06928852 0.064675 0.066982 0.001601          
196 1.96 8.362667 0.06467545 0.060305 0.06249 0.001494          
197 1.97 8.405333 0.06030454 0.056168 0.058236 0.001392          
198 1.98 8.448 0.0561683 0.052259 0.054214 0.001296          
199 1.99 8.490667 0.05225907 0.048569 0.050414 0.001205          
200 2 8.533333 0.04856907 0.04509 0.04683 0.00112          
201 2.01 8.576 0.0450904 0.041815 0.043453 0.001039          
202 2.02 8.618667 0.0418151 0.038735 0.040275 0.000963          
203 2.03 8.661333 0.03873517 0.035843 0.037289 0.000891          
204 2.04 8.704 0.03584263 0.033129 0.034486 0.000824          
205 2.05 8.746667 0.0331295 0.030588 0.031859 0.000762          
206 2.06 8.789333 0.03058787 0.02821 0.029399 0.000703          
207 2.07 8.832 0.0282099 0.025988 0.027099 0.000648          
208 2.08 8.874667 0.02598788 0.023914 0.024951 0.000597          
209 2.09 8.917333 0.02391419 0.021981 0.022948 0.000549          
210 2.1 8.96 0.02198138 0.020182 0.021082 0.000504          
211 2.11 9.002667 0.02018215 0.018509 0.019346 0.000463          
212 2.12 9.045333 0.01850939 0.016956 0.017733 0.000424          
213 2.13 9.088 0.01695617 0.015516 0.016236 0.000388          
214 2.14 9.130667 0.01551577 0.014182 0.014849 0.000355          
215 2.15 9.173333 0.01418168 0.012948 0.013565 0.000324          
216 2.16 9.216 0.01294763 0.011808 0.012378 0.000296          
217 2.17 9.258667 0.01180754 0.010756 0.011282 0.00027          
218 2.18 9.301333 0.0107556 0.009786 0.010271 0.000246          
219 2.19 9.344 0.00978621 0.008894 0.00934 0.000223          
220 2.2 9.386667 0.00889403 0.008074 0.008484 0.000203          
221 2.21 9.429333 0.00807394 0.007321 0.007698 0.000184          
222 2.22 9.472 0.00732108 0.006631 0.006976 0.000167          
223 2.23 9.514667 0.00663079 0.005999 0.006315 0.000151          
224 2.24 9.557333 0.00599869 0.005421 0.00571 0.000137          
225 2.25 9.6 0.0054206 0.004893 0.005157 0.000123          
226 2.26 9.642667 0.00489257 0.004411 0.004652 0.000111          
227 2.27 9.685333 0.00441087 0.003972 0.004191 0.0001          
228 2.28 9.728 0.003972 0.003573 0.003772 9.02E-05          
229 2.29 9.770667 0.00357265 0.00321 0.003391 8.11E-05          
230 2.3 9.813333 0.00320972 0.00288 0.003045 7.28E-05          
231 2.31 9.856 0.00288031 0.002582 0.002731 6.53E-05          
232 2.32 9.898667 0.0025817 0.002311 0.002447 5.85E-05          
233 2.33 9.941333 0.00231135 0.002067 0.002189 5.23E-05          
234 2.34 9.984 0.00206689 0.001846 0.001957 4.68E-05          
235 2.35 10.02667 0.00184613 0.001647 0.001747 4.18E-05          
236 2.36 10.06933 0.00164702 0.001468 0.001557 3.72E-05          
237 2.37 10.112 0.00146767 0.001306 0.001387 3.32E-05          
238 2.38 10.15467 0.00130631 0.001161 0.001234 2.95E-05          
239 2.39 10.19733 0.00116132 0.001031 0.001096 2.62E-05          
240 2.4 10.24 0.00103122 0.000915 0.000973 2.33E-05          
241 2.41 10.28267 0.00091461 0.00081 0.000862 2.06E-05          
242 2.42 10.32533 0.00081023 0.000717 0.000764 1.83E-05          
243 2.43 10.368 0.00071692 0.000634 0.000675 1.61E-05          
244 2.44 10.41067 0.0006336 0.000559 0.000596 1.43E-05          
245 2.45 10.45333 0.00055931 0.000493 0.000526 1.26E-05          
246 2.46 10.496 0.00049314 0.000434 0.000464 1.11E-05          
247 2.47 10.53867 0.00043429 0.000382 0.000408 9.76E-06          
248 2.48 10.58133 0.000382 0.000336 0.000359 8.58E-06          
249 2.49 10.624 0.00033561 0.000295 0.000315 7.53E-06          
250 2.5 10.66667 0.00029451 0.000258 0.000276 6.61E-06          
251 2.51 10.70933 0.00025813 0.000226 0.000242 5.79E-06          
252 2.52 10.752 0.00022598 0.000198 0.000212 5.06E-06          
253 2.53 10.79467 0.00019759 0.000173 0.000185 4.42E-06          
254 2.54 10.83733 0.00017257 0.000151 0.000162 3.86E-06          
255 2.55 10.88 0.00015053 0.000131 0.000141 3.37E-06          
256 2.56 10.92267 0.00013115 0.000114 0.000123 2.93E-06          
257 2.57 10.96533 0.00011413 9.92E-05 0.000107 2.55E-06          
258 2.58 11.008 9.9203E-05 8.61E-05 9.27E-05 2.22E-06          
259 2.59 11.05067 8.6123E-05 7.47E-05 8.04E-05 1.92E-06          
260 2.6 11.09333 7.4677E-05 6.47E-05 6.97E-05 1.67E-06          
261 2.61 11.136 6.4676E-05 5.59E-05 6.03E-05 1.44E-06          
262 2.62 11.17867 5.5946E-05 4.83E-05 5.21E-05 1.25E-06          
263 2.63 11.22133 4.8337E-05 4.17E-05 4.5E-05 1.08E-06          
264 2.64 11.264 4.1712E-05 3.6E-05 3.88E-05 9.28E-07          
265 2.65 11.30667 3.5952E-05 3.1E-05 3.35E-05 8E-07          
266 2.66 11.34933 3.0951E-05 2.66E-05 2.88E-05 6.88E-07          
267 2.67 11.392 2.6612E-05 2.29E-05 2.47E-05 5.91E-07          
268 2.68 11.43467 2.2855E-05 1.96E-05 2.12E-05 5.08E-07          
269 2.69 11.47733 1.9604E-05 1.68E-05 1.82E-05 4.35E-07          
270 2.7 11.52 1.6796E-05 1.44E-05 1.56E-05 3.73E-07          
271 2.71 11.56267 1.4372E-05 1.23E-05 1.33E-05 3.19E-07          
272 2.72 11.60533 1.2283E-05 1.05E-05 1.14E-05 2.72E-07          
273 2.73 11.648 1.0485E-05 8.94E-06 9.71E-06 2.32E-07          
274 2.74 11.69067 8.94E-06 7.61E-06 8.28E-06 1.98E-07          
275 2.75 11.73333 7.613E-06 6.48E-06 7.04E-06 1.68E-07          
276 2.76 11.776 6.4752E-06 5.5E-06 5.99E-06 1.43E-07          
277 2.77 11.81867 5.5008E-06 4.67E-06 5.08E-06 1.22E-07          
278 2.78 11.86133 4.6673E-06 3.96E-06 4.31E-06 1.03E-07          
279 2.79 11.904 3.9553E-06 3.35E-06 3.65E-06 8.73E-08          
280 2.8 11.94667 3.3479E-06 2.83E-06 3.09E-06 7.39E-08          
281 2.81 11.98933 2.8303E-06 2.39E-06 2.61E-06 6.24E-08          
282 2.82 12.032 2.3898E-06 2.02E-06 2.2E-06 5.27E-08          
283 2.83 12.07467 2.0155E-06 1.7E-06 1.86E-06 4.44E-08          
284 2.84 12.11733 1.6977E-06 1.43E-06 1.56E-06 3.74E-08          
285 2.85 12.16 1.4282E-06 1.2E-06 1.31E-06 3.14E-08          
286 2.86 12.20267 1.2001E-06 1.01E-06 1.1E-06 2.64E-08          
287 2.87 12.24533 1.0072E-06 8.44E-07 9.26E-07 2.21E-08          
288 2.88 12.288 8.4427E-07 7.07E-07 7.76E-07 1.85E-08          
289 2.89 12.33067 7.0683E-07 5.91E-07 6.49E-07 1.55E-08          
290 2.9 12.37333 5.9104E-07 4.94E-07 5.42E-07 1.3E-08          
291 2.91 12.416 4.9362E-07 4.12E-07 4.53E-07 1.08E-08          
292 2.92 12.45867 4.1175E-07 3.43E-07 3.77E-07 9.02E-09          
293 2.93 12.50133 3.4305E-07 2.85E-07 3.14E-07 7.51E-09          
294 2.94 12.544 2.8546E-07 2.37E-07 2.61E-07 6.25E-09          
295 2.95 12.58667 2.3724E-07 1.97E-07 2.17E-07 5.19E-09          
296 2.96 12.62933 1.9693E-07 1.63E-07 1.8E-07 4.31E-09          
297 2.97 12.672 1.6327E-07 1.35E-07 1.49E-07 3.57E-09          
298 2.98 12.71467 1.352E-07 1.12E-07 1.24E-07 2.95E-09          
299 2.99 12.75733 1.1181E-07 9.24E-08 1.02E-07 2.44E-09          
300 3 12.8 9.2363E-08 7.62E-08 8.43E-08 2.01E-09          
        SUM   10.8145          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.1776
Qo= 14.70 vph   Ko=   2.261538 veh/mile        
MU 6.50 mph   No=   7  veh        
SIGMA 1.20 mph   ALPHAO= 0.4422 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 10.23   PER HOUR= 43.65
        STANDARD DEVIATION= 3.20     2
        DETERMINISTIC  EQUATION= 10.23      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       6.784615          
1 0.01 0.042667 0.99999997 1 1 0.022615          
2 0.02 0.085333 0.99999996 1 1 0.022615          
3 0.03 0.128 0.99999995 1 1 0.022615          
4 0.04 0.170667 0.99999995 1 1 0.022615          
5 0.05 0.213333 0.99999993 1 1 0.022615          
6 0.06 0.256 0.99999992 1 1 0.022615          
7 0.07 0.298667 0.9999999 1 1 0.022615          
8 0.08 0.341333 0.99999988 1 1 0.022615          
9 0.09 0.384 0.99999986 1 1 0.022615          
10 0.1 0.426667 0.99999983 1 1 0.022615          
11 0.11 0.469333 0.99999979 1 1 0.022615          
12 0.12 0.512 0.99999975 1 1 0.022615          
13 0.13 0.554667 0.9999997 1 1 0.022615          
14 0.14 0.597333 0.99999964 1 1 0.022615          
15 0.15 0.64 0.99999956 0.999999 1 0.022615          
16 0.16 0.682667 0.99999948 0.999999 0.999999 0.022615          
17 0.17 0.725333 0.99999937 0.999999 0.999999 0.022615          
18 0.18 0.768 0.99999925 0.999999 0.999999 0.022615          
19 0.19 0.810667 0.99999911 0.999999 0.999999 0.022615          
20 0.2 0.853333 0.99999894 0.999999 0.999999 0.022615          
21 0.21 0.896 0.99999873 0.999998 0.999999 0.022615          
22 0.22 0.938667 0.99999849 0.999998 0.999998 0.022615          
23 0.23 0.981333 0.99999821 0.999998 0.999998 0.022615          
24 0.24 1.024 0.99999787 0.999997 0.999998 0.022615          
25 0.25 1.066667 0.99999748 0.999997 0.999997 0.022615          
26 0.26 1.109333 0.99999702 0.999996 0.999997 0.022615          
27 0.27 1.152 0.99999647 0.999996 0.999996 0.022615          
28 0.28 1.194667 0.99999583 0.999995 0.999995 0.022615          
29 0.29 1.237333 0.99999509 0.999994 0.999995 0.022615          
30 0.3 1.28 0.99999421 0.999993 0.999994 0.022615          
31 0.31 1.322667 0.99999319 0.999992 0.999993 0.022615          
32 0.32 1.365333 0.99999199 0.999991 0.999991 0.022615          
33 0.33 1.408 0.9999906 0.999989 0.99999 0.022615          
34 0.34 1.450667 0.99998898 0.999987 0.999988 0.022615          
35 0.35 1.493333 0.9999871 0.999985 0.999986 0.022615          
36 0.36 1.536 0.99998491 0.999982 0.999984 0.022615          
37 0.37 1.578667 0.99998237 0.999979 0.999981 0.022615          
38 0.38 1.621333 0.99997943 0.999976 0.999978 0.022615          
39 0.39 1.664 0.99997603 0.999972 0.999974 0.022615          
40 0.4 1.706667 0.9999721 0.999968 0.99997 0.022615          
41 0.41 1.749333 0.99996756 0.999962 0.999965 0.022615          
42 0.42 1.792 0.99996233 0.999956 0.999959 0.022614          
43 0.43 1.834667 0.99995632 0.999949 0.999953 0.022614          
44 0.44 1.877333 0.9999494 0.999941 0.999945 0.022614          
45 0.45 1.92 0.99994145 0.999932 0.999937 0.022614          
46 0.46 1.962667 0.99993234 0.999922 0.999927 0.022614          
47 0.47 2.005333 0.99992191 0.99991 0.999916 0.022613          
48 0.48 2.048 0.99990997 0.999896 0.999903 0.022613          
49 0.49 2.090667 0.99989634 0.999881 0.999889 0.022613          
50 0.5 2.133333 0.99988078 0.999863 0.999872 0.022612          
51 0.51 2.176 0.99986306 0.999843 0.999853 0.022612          
52 0.52 2.218667 0.99984288 0.99982 0.999831 0.022612          
53 0.53 2.261333 0.99981995 0.999794 0.999807 0.022611          
54 0.54 2.304 0.99979392 0.999764 0.999779 0.02261          
55 0.55 2.346667 0.9997644 0.999731 0.999748 0.02261          
56 0.56 2.389333 0.99973098 0.999693 0.999712 0.022609          
57 0.57 2.432 0.99969318 0.99965 0.999672 0.022608          
58 0.58 2.474667 0.99965048 0.999602 0.999626 0.022607          
59 0.59 2.517333 0.99960232 0.999548 0.999575 0.022606          
60 0.6 2.56 0.99954806 0.999487 0.999518 0.022604          
61 0.61 2.602667 0.999487 0.999418 0.999453 0.022603          
62 0.62 2.645333 0.99941839 0.999341 0.99938 0.022601          
63 0.63 2.688 0.99934137 0.999255 0.999298 0.0226          
64 0.64 2.730667 0.99925504 0.999158 0.999207 0.022597          
65 0.65 2.773333 0.99915839 0.99905 0.999104 0.022595          
66 0.66 2.816 0.99905032 0.99893 0.99899 0.022593          
67 0.67 2.858667 0.99892964 0.998795 0.998862 0.02259          
68 0.68 2.901333 0.99879504 0.998645 0.99872 0.022586          
69 0.69 2.944 0.9986451 0.998478 0.998562 0.022583          
70 0.7 2.986667 0.9984783 0.998293 0.998386 0.022579          
71 0.71 3.029333 0.99829296 0.998087 0.99819 0.022574          
72 0.72 3.072 0.9980873 0.997859 0.997973 0.02257          
73 0.73 3.114667 0.99785936 0.997607 0.997733 0.022564          
74 0.74 3.157333 0.99760706 0.997328 0.997468 0.022558          
75 0.75 3.2 0.99732814 0.99702 0.997174 0.022551          
76 0.76 3.242667 0.99702018 0.996681 0.99685 0.022544          
77 0.77 3.285333 0.9966806 0.996307 0.996494 0.022536          
78 0.78 3.328 0.99630661 0.995895 0.996101 0.022527          
79 0.79 3.370667 0.99589525 0.995443 0.995669 0.022517          
80 0.8 3.413333 0.99544336 0.994948 0.995195 0.022507          
81 0.81 3.456 0.99494757 0.994404 0.994676 0.022495          
82 0.82 3.498667 0.99440431 0.99381 0.994107 0.022482          
83 0.83 3.541333 0.99380977 0.99316 0.993485 0.022468          
84 0.84 3.584 0.99315994 0.992451 0.992805 0.022453          
85 0.85 3.626667 0.99245059 0.991677 0.992064 0.022436          
86 0.86 3.669333 0.99167723 0.990835 0.991256 0.022418          
87 0.87 3.712 0.99083514 0.989919 0.990377 0.022398          
88 0.88 3.754667 0.9899194 0.988925 0.989422 0.022376          
89 0.89 3.797333 0.9889248 0.987846 0.988385 0.022353          
90 0.9 3.84 0.98784592 0.986677 0.987262 0.022327          
91 0.91 3.882667 0.98667711 0.985412 0.986045 0.0223          
92 0.92 3.925333 0.98541245 0.984046 0.984729 0.02227          
93 0.93 3.968 0.98404583 0.982571 0.983308 0.022238          
94 0.94 4.010667 0.98257088 0.980981 0.981776 0.022203          
95 0.95 4.053333 0.98098104 0.97927 0.980125 0.022166          
96 0.96 4.096 0.97926951 0.977429 0.978349 0.022126          
97 0.97 4.138667 0.97742931 0.975453 0.976441 0.022083          
98 0.98 4.181333 0.97545326 0.973334 0.974394 0.022036          
99 0.99 4.224 0.97333403 0.971064 0.972199 0.021987          
100 1 4.266667 0.97106409 0.968636 0.96985 0.021934          
101 1.01 4.309333 0.96863582 0.966041 0.967339 0.021877          
102 1.02 4.352 0.96604144 0.963273 0.964657 0.021816          
103 1.03 4.394667 0.9632731 0.960323 0.961798 0.021751          
104 1.04 4.437333 0.96032285 0.957183 0.958753 0.021683          
105 1.05 4.48 0.95718273 0.953845 0.955514 0.021609          
106 1.06 4.522667 0.95384474 0.950301 0.952073 0.021531          
107 1.07 4.565333 0.95030088 0.946543 0.948422 0.021449          
108 1.08 4.608 0.94654321 0.942564 0.944554 0.021361          
109 1.09 4.650667 0.94256387 0.938355 0.940459 0.021269          
110 1.1 4.693333 0.93835511 0.933909 0.936132 0.021171          
111 1.11 4.736 0.93390932 0.929219 0.931564 0.021068          
112 1.12 4.778667 0.92921909 0.924277 0.926748 0.020959          
113 1.13 4.821333 0.92427722 0.919077 0.921677 0.020844          
114 1.14 4.864 0.9190768 0.913611 0.916344 0.020723          
115 1.15 4.906667 0.9136112 0.907874 0.910743 0.020597          
116 1.16 4.949333 0.90787417 0.90186 0.904867 0.020464          
117 1.17 4.992 0.90185984 0.895563 0.898711 0.020325          
118 1.18 5.034667 0.89556275 0.888978 0.89227 0.020179          
119 1.19 5.077333 0.88897796 0.882101 0.885539 0.020027          
120 1.2 5.12 0.88210101 0.874928 0.878515 0.019868          
121 1.21 5.162667 0.87492801 0.867456 0.871192 0.019702          
122 1.22 5.205333 0.86745567 0.859681 0.863569 0.01953          
123 1.23 5.248 0.85968133 0.851603 0.855642 0.019351          
124 1.24 5.290667 0.85160301 0.843219 0.847411 0.019165          
125 1.25 5.333333 0.84321941 0.83453 0.838875 0.018971          
126 1.26 5.376 0.83453 0.825535 0.830032 0.018772          
127 1.27 5.418667 0.825535 0.816235 0.820885 0.018565          
128 1.28 5.461333 0.81623541 0.806633 0.811434 0.018351          
129 1.29 5.504 0.80663308 0.796731 0.801682 0.01813          
130 1.3 5.546667 0.79673067 0.786532 0.791631 0.017903          
131 1.31 5.589333 0.7865317 0.776041 0.781286 0.017669          
132 1.32 5.632 0.77604056 0.765263 0.770652 0.017429          
133 1.33 5.674667 0.76526251 0.754204 0.759733 0.017182          
134 1.34 5.717333 0.75420371 0.742871 0.748537 0.016928          
135 1.35 5.76 0.74287115 0.731273 0.737072 0.016669          
136 1.36 5.802667 0.73127275 0.719417 0.725345 0.016404          
137 1.37 5.845333 0.71941726 0.707314 0.713366 0.016133          
138 1.38 5.888 0.70731429 0.694974 0.701144 0.015857          
139 1.39 5.930667 0.69497428 0.682408 0.688691 0.015575          
140 1.4 5.973333 0.68240849 0.669629 0.676019 0.015288          
141 1.41 6.016 0.66962895 0.656648 0.663139 0.014997          
142 1.42 6.058667 0.65664844 0.64348 0.650064 0.014701          
143 1.43 6.101333 0.64348047 0.630139 0.63681 0.014402          
144 1.44 6.144 0.6301392 0.616639 0.623389 0.014098          
145 1.45 6.186667 0.61663943 0.602997 0.609818 0.013791          
146 1.46 6.229333 0.60299653 0.589226 0.596111 0.013481          
147 1.47 6.272 0.5892264 0.575345 0.582286 0.013169          
148 1.48 6.314667 0.57534542 0.56137 0.568358 0.012854          
149 1.49 6.357333 0.56137036 0.547318 0.554344 0.012537          
150 1.5 6.4 0.54731835 0.533207 0.540263 0.012218          
151 1.51 6.442667 0.53320682 0.519053 0.52613 0.011899          
152 1.52 6.485333 0.51905339 0.504876 0.511965 0.011578          
153 1.53 6.528 0.50487587 0.490692 0.497784 0.011258          
154 1.54 6.570667 0.49069215 0.47652 0.483606 0.010937          
155 1.55 6.613333 0.47652023 0.462378 0.469449 0.010617          
156 1.56 6.656 0.46237799 0.448283 0.455331 0.010297          
157 1.57 6.698667 0.44828318 0.434253 0.441268 0.009979          
158 1.58 6.741333 0.43425336 0.420306 0.42728 0.009663          
159 1.59 6.784 0.42030587 0.406458 0.413382 0.009349          
160 1.6 6.826667 0.40645774 0.392726 0.399592 0.009037          
161 1.61 6.869333 0.39272564 0.379126 0.385926 0.008728          
162 1.62 6.912 0.37912578 0.365674 0.3724 0.008422          
163 1.63 6.954667 0.36567392 0.352385 0.35903 0.00812          
164 1.64 6.997333 0.35238524 0.339274 0.34583 0.007821          
165 1.65 7.04 0.33927436 0.326355 0.332815 0.007527          
166 1.66 7.082667 0.32635524 0.313641 0.319998 0.007237          
167 1.67 7.125333 0.31364116 0.301145 0.307393 0.006952          
168 1.68 7.168 0.30114467 0.288878 0.295011 0.006672          
169 1.69 7.210667 0.28887756 0.276851 0.282864 0.006397          
170 1.7 7.253333 0.27685085 0.265075 0.270963 0.006128          
171 1.71 7.296 0.2650747 0.253558 0.259317 0.005865          
172 1.72 7.338667 0.25355848 0.242311 0.247935 0.005607          
173 1.73 7.381333 0.24231066 0.231339 0.236825 0.005356          
174 1.74 7.424 0.23133888 0.22065 0.225994 0.005111          
175 1.75 7.466667 0.22064988 0.21025 0.21545 0.004872          
176 1.76 7.509333 0.21024952 0.200143 0.205196 0.004641          
177 1.77 7.552 0.20014279 0.190334 0.195238 0.004415          
178 1.78 7.594667 0.19033382 0.180826 0.18558 0.004197          
179 1.79 7.637333 0.18082585 0.171621 0.176224 0.003985          
180 1.8 7.68 0.17162128 0.162722 0.167171 0.003781          
181 1.81 7.722667 0.1627217 0.154128 0.158425 0.003583          
182 1.82 7.765333 0.15412787 0.14584 0.149984 0.003392          
183 1.83 7.808 0.14583977 0.137857 0.141848 0.003208          
184 1.84 7.850667 0.13785661 0.130177 0.134017 0.003031          
185 1.85 7.893333 0.13017689 0.122798 0.126488 0.002861          
186 1.86 7.936 0.12279841 0.115718 0.119258 0.002697          
187 1.87 7.978667 0.11571831 0.108933 0.112326 0.00254          
188 1.88 8.021333 0.10893311 0.102439 0.105686 0.00239          
189 1.89 8.064 0.10243873 0.096231 0.099335 0.002246          
190 1.9 8.106667 0.09623056 0.090303 0.093267 0.002109          
191 1.91 8.149333 0.09030349 0.084652 0.087478 0.001978          
192 1.92 8.192 0.08465193 0.07927 0.081961 0.001854          
193 1.93 8.234667 0.07926989 0.074151 0.07671 0.001735          
194 1.94 8.277333 0.07415099 0.069289 0.07172 0.001622          
195 1.95 8.32 0.06928852 0.064675 0.066982 0.001515          
196 1.96 8.362667 0.06467545 0.060305 0.06249 0.001413          
197 1.97 8.405333 0.06030454 0.056168 0.058236 0.001317          
198 1.98 8.448 0.0561683 0.052259 0.054214 0.001226          
199 1.99 8.490667 0.05225907 0.048569 0.050414 0.00114          
200 2 8.533333 0.04856907 0.04509 0.04683 0.001059          
201 2.01 8.576 0.0450904 0.041815 0.043453 0.000983          
202 2.02 8.618667 0.0418151 0.038735 0.040275 0.000911          
203 2.03 8.661333 0.03873517 0.035843 0.037289 0.000843          
204 2.04 8.704 0.03584263 0.033129 0.034486 0.00078          
205 2.05 8.746667 0.0331295 0.030588 0.031859 0.00072          
206 2.06 8.789333 0.03058787 0.02821 0.029399 0.000665          
207 2.07 8.832 0.0282099 0.025988 0.027099 0.000613          
208 2.08 8.874667 0.02598788 0.023914 0.024951 0.000564          
209 2.09 8.917333 0.02391419 0.021981 0.022948 0.000519          
210 2.1 8.96 0.02198138 0.020182 0.021082 0.000477          
211 2.11 9.002667 0.02018215 0.018509 0.019346 0.000438          
212 2.12 9.045333 0.01850939 0.016956 0.017733 0.000401          
213 2.13 9.088 0.01695617 0.015516 0.016236 0.000367          
214 2.14 9.130667 0.01551577 0.014182 0.014849 0.000336          
215 2.15 9.173333 0.01418168 0.012948 0.013565 0.000307          
216 2.16 9.216 0.01294763 0.011808 0.012378 0.00028          
217 2.17 9.258667 0.01180754 0.010756 0.011282 0.000255          
218 2.18 9.301333 0.0107556 0.009786 0.010271 0.000232          
219 2.19 9.344 0.00978621 0.008894 0.00934 0.000211          
220 2.2 9.386667 0.00889403 0.008074 0.008484 0.000192          
221 2.21 9.429333 0.00807394 0.007321 0.007698 0.000174          
222 2.22 9.472 0.00732108 0.006631 0.006976 0.000158          
223 2.23 9.514667 0.00663079 0.005999 0.006315 0.000143          
224 2.24 9.557333 0.00599869 0.005421 0.00571 0.000129          
225 2.25 9.6 0.0054206 0.004893 0.005157 0.000117          
226 2.26 9.642667 0.00489257 0.004411 0.004652 0.000105          
227 2.27 9.685333 0.00441087 0.003972 0.004191 9.48E-05          
228 2.28 9.728 0.003972 0.003573 0.003772 8.53E-05          
229 2.29 9.770667 0.00357265 0.00321 0.003391 7.67E-05          
230 2.3 9.813333 0.00320972 0.00288 0.003045 6.89E-05          
231 2.31 9.856 0.00288031 0.002582 0.002731 6.18E-05          
232 2.32 9.898667 0.0025817 0.002311 0.002447 5.53E-05          
233 2.33 9.941333 0.00231135 0.002067 0.002189 4.95E-05          
234 2.34 9.984 0.00206689 0.001846 0.001957 4.42E-05          
235 2.35 10.02667 0.00184613 0.001647 0.001747 3.95E-05          
236 2.36 10.06933 0.00164702 0.001468 0.001557 3.52E-05          
237 2.37 10.112 0.00146767 0.001306 0.001387 3.14E-05          
238 2.38 10.15467 0.00130631 0.001161 0.001234 2.79E-05          
239 2.39 10.19733 0.00116132 0.001031 0.001096 2.48E-05          
240 2.4 10.24 0.00103122 0.000915 0.000973 2.2E-05          
241 2.41 10.28267 0.00091461 0.00081 0.000862 1.95E-05          
242 2.42 10.32533 0.00081023 0.000717 0.000764 1.73E-05          
243 2.43 10.368 0.00071692 0.000634 0.000675 1.53E-05          
244 2.44 10.41067 0.0006336 0.000559 0.000596 1.35E-05          
245 2.45 10.45333 0.00055931 0.000493 0.000526 1.19E-05          
246 2.46 10.496 0.00049314 0.000434 0.000464 1.05E-05          
247 2.47 10.53867 0.00043429 0.000382 0.000408 9.23E-06          
248 2.48 10.58133 0.000382 0.000336 0.000359 8.11E-06          
249 2.49 10.624 0.00033561 0.000295 0.000315 7.13E-06          
250 2.5 10.66667 0.00029451 0.000258 0.000276 6.25E-06          
251 2.51 10.70933 0.00025813 0.000226 0.000242 5.47E-06          
252 2.52 10.752 0.00022598 0.000198 0.000212 4.79E-06          
253 2.53 10.79467 0.00019759 0.000173 0.000185 4.19E-06          
254 2.54 10.83733 0.00017257 0.000151 0.000162 3.65E-06          
255 2.55 10.88 0.00015053 0.000131 0.000141 3.19E-06          
256 2.56 10.92267 0.00013115 0.000114 0.000123 2.77E-06          
257 2.57 10.96533 0.00011413 9.92E-05 0.000107 2.41E-06          
258 2.58 11.008 9.9203E-05 8.61E-05 9.27E-05 2.1E-06          
259 2.59 11.05067 8.6123E-05 7.47E-05 8.04E-05 1.82E-06          
260 2.6 11.09333 7.4677E-05 6.47E-05 6.97E-05 1.58E-06          
261 2.61 11.136 6.4676E-05 5.59E-05 6.03E-05 1.36E-06          
262 2.62 11.17867 5.5946E-05 4.83E-05 5.21E-05 1.18E-06          
263 2.63 11.22133 4.8337E-05 4.17E-05 4.5E-05 1.02E-06          
264 2.64 11.264 4.1712E-05 3.6E-05 3.88E-05 8.78E-07          
265 2.65 11.30667 3.5952E-05 3.1E-05 3.35E-05 7.57E-07          
266 2.66 11.34933 3.0951E-05 2.66E-05 2.88E-05 6.51E-07          
267 2.67 11.392 2.6612E-05 2.29E-05 2.47E-05 5.59E-07          
268 2.68 11.43467 2.2855E-05 1.96E-05 2.12E-05 4.8E-07          
269 2.69 11.47733 1.9604E-05 1.68E-05 1.82E-05 4.12E-07          
270 2.7 11.52 1.6796E-05 1.44E-05 1.56E-05 3.52E-07          
271 2.71 11.56267 1.4372E-05 1.23E-05 1.33E-05 3.01E-07          
272 2.72 11.60533 1.2283E-05 1.05E-05 1.14E-05 2.57E-07          
273 2.73 11.648 1.0485E-05 8.94E-06 9.71E-06 2.2E-07          
274 2.74 11.69067 8.94E-06 7.61E-06 8.28E-06 1.87E-07          
275 2.75 11.73333 7.613E-06 6.48E-06 7.04E-06 1.59E-07          
276 2.76 11.776 6.4752E-06 5.5E-06 5.99E-06 1.35E-07          
277 2.77 11.81867 5.5008E-06 4.67E-06 5.08E-06 1.15E-07          
278 2.78 11.86133 4.6673E-06 3.96E-06 4.31E-06 9.75E-08          
279 2.79 11.904 3.9553E-06 3.35E-06 3.65E-06 8.26E-08          
280 2.8 11.94667 3.3479E-06 2.83E-06 3.09E-06 6.99E-08          
281 2.81 11.98933 2.8303E-06 2.39E-06 2.61E-06 5.9E-08          
282 2.82 12.032 2.3898E-06 2.02E-06 2.2E-06 4.98E-08          
283 2.83 12.07467 2.0155E-06 1.7E-06 1.86E-06 4.2E-08          
284 2.84 12.11733 1.6977E-06 1.43E-06 1.56E-06 3.53E-08          
285 2.85 12.16 1.4282E-06 1.2E-06 1.31E-06 2.97E-08          
286 2.86 12.20267 1.2001E-06 1.01E-06 1.1E-06 2.5E-08          
287 2.87 12.24533 1.0072E-06 8.44E-07 9.26E-07 2.09E-08          
288 2.88 12.288 8.4427E-07 7.07E-07 7.76E-07 1.75E-08          
289 2.89 12.33067 7.0683E-07 5.91E-07 6.49E-07 1.47E-08          
290 2.9 12.37333 5.9104E-07 4.94E-07 5.42E-07 1.23E-08          
291 2.91 12.416 4.9362E-07 4.12E-07 4.53E-07 1.02E-08          
292 2.92 12.45867 4.1175E-07 3.43E-07 3.77E-07 8.54E-09          
293 2.93 12.50133 3.4305E-07 2.85E-07 3.14E-07 7.11E-09          
294 2.94 12.544 2.8546E-07 2.37E-07 2.61E-07 5.91E-09          
295 2.95 12.58667 2.3724E-07 1.97E-07 2.17E-07 4.91E-09          
296 2.96 12.62933 1.9693E-07 1.63E-07 1.8E-07 4.07E-09          
297 2.97 12.672 1.6327E-07 1.35E-07 1.49E-07 3.37E-09          
298 2.98 12.71467 1.352E-07 1.12E-07 1.24E-07 2.79E-09          
299 2.99 12.75733 1.1181E-07 9.24E-08 1.02E-07 2.31E-09          
300 3 12.8 9.2363E-08 7.62E-08 8.43E-08 1.91E-09          
        SUM   10.22993          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.1776
Qo= 100.00 vph   Ko=   15.38462 veh/mile        
MU 6.50 mph   No=   46  veh        
SIGMA 1.20 mph   ALPHAO= 0.0650 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 69.59   PER HOUR= 296.92
        STANDARD DEVIATION= 8.34     3
        DETERMINISTIC  EQUATION= 69.59      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       46.15385          
1 0.01 0.042667 0.99999997 1 1 0.153846          
2 0.02 0.085333 0.99999996 1 1 0.153846          
3 0.03 0.128 0.99999995 1 1 0.153846          
4 0.04 0.170667 0.99999995 1 1 0.153846          
5 0.05 0.213333 0.99999993 1 1 0.153846          
6 0.06 0.256 0.99999992 1 1 0.153846          
7 0.07 0.298667 0.9999999 1 1 0.153846          
8 0.08 0.341333 0.99999988 1 1 0.153846          
9 0.09 0.384 0.99999986 1 1 0.153846          
10 0.1 0.426667 0.99999983 1 1 0.153846          
11 0.11 0.469333 0.99999979 1 1 0.153846          
12 0.12 0.512 0.99999975 1 1 0.153846          
13 0.13 0.554667 0.9999997 1 1 0.153846          
14 0.14 0.597333 0.99999964 1 1 0.153846          
15 0.15 0.64 0.99999956 0.999999 1 0.153846          
16 0.16 0.682667 0.99999948 0.999999 0.999999 0.153846          
17 0.17 0.725333 0.99999937 0.999999 0.999999 0.153846          
18 0.18 0.768 0.99999925 0.999999 0.999999 0.153846          
19 0.19 0.810667 0.99999911 0.999999 0.999999 0.153846          
20 0.2 0.853333 0.99999894 0.999999 0.999999 0.153846          
21 0.21 0.896 0.99999873 0.999998 0.999999 0.153846          
22 0.22 0.938667 0.99999849 0.999998 0.999998 0.153846          
23 0.23 0.981333 0.99999821 0.999998 0.999998 0.153846          
24 0.24 1.024 0.99999787 0.999997 0.999998 0.153846          
25 0.25 1.066667 0.99999748 0.999997 0.999997 0.153846          
26 0.26 1.109333 0.99999702 0.999996 0.999997 0.153846          
27 0.27 1.152 0.99999647 0.999996 0.999996 0.153846          
28 0.28 1.194667 0.99999583 0.999995 0.999995 0.153845          
29 0.29 1.237333 0.99999509 0.999994 0.999995 0.153845          
30 0.3 1.28 0.99999421 0.999993 0.999994 0.153845          
31 0.31 1.322667 0.99999319 0.999992 0.999993 0.153845          
32 0.32 1.365333 0.99999199 0.999991 0.999991 0.153845          
33 0.33 1.408 0.9999906 0.999989 0.99999 0.153845          
34 0.34 1.450667 0.99998898 0.999987 0.999988 0.153844          
35 0.35 1.493333 0.9999871 0.999985 0.999986 0.153844          
36 0.36 1.536 0.99998491 0.999982 0.999984 0.153844          
37 0.37 1.578667 0.99998237 0.999979 0.999981 0.153843          
38 0.38 1.621333 0.99997943 0.999976 0.999978 0.153843          
39 0.39 1.664 0.99997603 0.999972 0.999974 0.153842          
40 0.4 1.706667 0.9999721 0.999968 0.99997 0.153842          
41 0.41 1.749333 0.99996756 0.999962 0.999965 0.153841          
42 0.42 1.792 0.99996233 0.999956 0.999959 0.15384          
43 0.43 1.834667 0.99995632 0.999949 0.999953 0.153839          
44 0.44 1.877333 0.9999494 0.999941 0.999945 0.153838          
45 0.45 1.92 0.99994145 0.999932 0.999937 0.153836          
46 0.46 1.962667 0.99993234 0.999922 0.999927 0.153835          
47 0.47 2.005333 0.99992191 0.99991 0.999916 0.153833          
48 0.48 2.048 0.99990997 0.999896 0.999903 0.153831          
49 0.49 2.090667 0.99989634 0.999881 0.999889 0.153829          
50 0.5 2.133333 0.99988078 0.999863 0.999872 0.153826          
51 0.51 2.176 0.99986306 0.999843 0.999853 0.153824          
52 0.52 2.218667 0.99984288 0.99982 0.999831 0.15382          
53 0.53 2.261333 0.99981995 0.999794 0.999807 0.153816          
54 0.54 2.304 0.99979392 0.999764 0.999779 0.153812          
55 0.55 2.346667 0.9997644 0.999731 0.999748 0.153807          
56 0.56 2.389333 0.99973098 0.999693 0.999712 0.153802          
57 0.57 2.432 0.99969318 0.99965 0.999672 0.153796          
58 0.58 2.474667 0.99965048 0.999602 0.999626 0.153789          
59 0.59 2.517333 0.99960232 0.999548 0.999575 0.153781          
60 0.6 2.56 0.99954806 0.999487 0.999518 0.153772          
61 0.61 2.602667 0.999487 0.999418 0.999453 0.153762          
62 0.62 2.645333 0.99941839 0.999341 0.99938 0.153751          
63 0.63 2.688 0.99934137 0.999255 0.999298 0.153738          
64 0.64 2.730667 0.99925504 0.999158 0.999207 0.153724          
65 0.65 2.773333 0.99915839 0.99905 0.999104 0.153708          
66 0.66 2.816 0.99905032 0.99893 0.99899 0.153691          
67 0.67 2.858667 0.99892964 0.998795 0.998862 0.153671          
68 0.68 2.901333 0.99879504 0.998645 0.99872 0.153649          
69 0.69 2.944 0.9986451 0.998478 0.998562 0.153625          
70 0.7 2.986667 0.9984783 0.998293 0.998386 0.153598          
71 0.71 3.029333 0.99829296 0.998087 0.99819 0.153568          
72 0.72 3.072 0.9980873 0.997859 0.997973 0.153534          
73 0.73 3.114667 0.99785936 0.997607 0.997733 0.153497          
74 0.74 3.157333 0.99760706 0.997328 0.997468 0.153457          
75 0.75 3.2 0.99732814 0.99702 0.997174 0.153411          
76 0.76 3.242667 0.99702018 0.996681 0.99685 0.153362          
77 0.77 3.285333 0.9966806 0.996307 0.996494 0.153307          
78 0.78 3.328 0.99630661 0.995895 0.996101 0.153246          
79 0.79 3.370667 0.99589525 0.995443 0.995669 0.15318          
80 0.8 3.413333 0.99544336 0.994948 0.995195 0.153107          
81 0.81 3.456 0.99494757 0.994404 0.994676 0.153027          
82 0.82 3.498667 0.99440431 0.99381 0.994107 0.15294          
83 0.83 3.541333 0.99380977 0.99316 0.993485 0.152844          
84 0.84 3.584 0.99315994 0.992451 0.992805 0.152739          
85 0.85 3.626667 0.99245059 0.991677 0.992064 0.152625          
86 0.86 3.669333 0.99167723 0.990835 0.991256 0.152501          
87 0.87 3.712 0.99083514 0.989919 0.990377 0.152366          
88 0.88 3.754667 0.9899194 0.988925 0.989422 0.152219          
89 0.89 3.797333 0.9889248 0.987846 0.988385 0.152059          
90 0.9 3.84 0.98784592 0.986677 0.987262 0.151886          
91 0.91 3.882667 0.98667711 0.985412 0.986045 0.151699          
92 0.92 3.925333 0.98541245 0.984046 0.984729 0.151497          
93 0.93 3.968 0.98404583 0.982571 0.983308 0.151278          
94 0.94 4.010667 0.98257088 0.980981 0.981776 0.151042          
95 0.95 4.053333 0.98098104 0.97927 0.980125 0.150789          
96 0.96 4.096 0.97926951 0.977429 0.978349 0.150515          
97 0.97 4.138667 0.97742931 0.975453 0.976441 0.150222          
98 0.98 4.181333 0.97545326 0.973334 0.974394 0.149907          
99 0.99 4.224 0.97333403 0.971064 0.972199 0.149569          
100 1 4.266667 0.97106409 0.968636 0.96985 0.149208          
101 1.01 4.309333 0.96863582 0.966041 0.967339 0.148821          
102 1.02 4.352 0.96604144 0.963273 0.964657 0.148409          
103 1.03 4.394667 0.9632731 0.960323 0.961798 0.147969          
104 1.04 4.437333 0.96032285 0.957183 0.958753 0.1475          
105 1.05 4.48 0.95718273 0.953845 0.955514 0.147002          
106 1.06 4.522667 0.95384474 0.950301 0.952073 0.146473          
107 1.07 4.565333 0.95030088 0.946543 0.948422 0.145911          
108 1.08 4.608 0.94654321 0.942564 0.944554 0.145316          
109 1.09 4.650667 0.94256387 0.938355 0.940459 0.144686          
110 1.1 4.693333 0.93835511 0.933909 0.936132 0.14402          
111 1.11 4.736 0.93390932 0.929219 0.931564 0.143318          
112 1.12 4.778667 0.92921909 0.924277 0.926748 0.142577          
113 1.13 4.821333 0.92427722 0.919077 0.921677 0.141796          
114 1.14 4.864 0.9190768 0.913611 0.916344 0.140976          
115 1.15 4.906667 0.9136112 0.907874 0.910743 0.140114          
116 1.16 4.949333 0.90787417 0.90186 0.904867 0.13921          
117 1.17 4.992 0.90185984 0.895563 0.898711 0.138263          
118 1.18 5.034667 0.89556275 0.888978 0.89227 0.137272          
119 1.19 5.077333 0.88897796 0.882101 0.885539 0.136237          
120 1.2 5.12 0.88210101 0.874928 0.878515 0.135156          
121 1.21 5.162667 0.87492801 0.867456 0.871192 0.13403          
122 1.22 5.205333 0.86745567 0.859681 0.863569 0.132857          
123 1.23 5.248 0.85968133 0.851603 0.855642 0.131637          
124 1.24 5.290667 0.85160301 0.843219 0.847411 0.130371          
125 1.25 5.333333 0.84321941 0.83453 0.838875 0.129058          
126 1.26 5.376 0.83453 0.825535 0.830032 0.127697          
127 1.27 5.418667 0.825535 0.816235 0.820885 0.12629          
128 1.28 5.461333 0.81623541 0.806633 0.811434 0.124836          
129 1.29 5.504 0.80663308 0.796731 0.801682 0.123336          
130 1.3 5.546667 0.79673067 0.786532 0.791631 0.121789          
131 1.31 5.589333 0.7865317 0.776041 0.781286 0.120198          
132 1.32 5.632 0.77604056 0.765263 0.770652 0.118562          
133 1.33 5.674667 0.76526251 0.754204 0.759733 0.116882          
134 1.34 5.717333 0.75420371 0.742871 0.748537 0.11516          
135 1.35 5.76 0.74287115 0.731273 0.737072 0.113396          
136 1.36 5.802667 0.73127275 0.719417 0.725345 0.111592          
137 1.37 5.845333 0.71941726 0.707314 0.713366 0.109749          
138 1.38 5.888 0.70731429 0.694974 0.701144 0.107868          
139 1.39 5.930667 0.69497428 0.682408 0.688691 0.105953          
140 1.4 5.973333 0.68240849 0.669629 0.676019 0.104003          
141 1.41 6.016 0.66962895 0.656648 0.663139 0.102021          
142 1.42 6.058667 0.65664844 0.64348 0.650064 0.10001          
143 1.43 6.101333 0.64348047 0.630139 0.63681 0.097971          
144 1.44 6.144 0.6301392 0.616639 0.623389 0.095906          
145 1.45 6.186667 0.61663943 0.602997 0.609818 0.093818          
146 1.46 6.229333 0.60299653 0.589226 0.596111 0.091709          
147 1.47 6.272 0.5892264 0.575345 0.582286 0.089582          
148 1.48 6.314667 0.57534542 0.56137 0.568358 0.08744          
149 1.49 6.357333 0.56137036 0.547318 0.554344 0.085284          
150 1.5 6.4 0.54731835 0.533207 0.540263 0.083117          
151 1.51 6.442667 0.53320682 0.519053 0.52613 0.080943          
152 1.52 6.485333 0.51905339 0.504876 0.511965 0.078764          
153 1.53 6.528 0.50487587 0.490692 0.497784 0.076582          
154 1.54 6.570667 0.49069215 0.47652 0.483606 0.074401          
155 1.55 6.613333 0.47652023 0.462378 0.469449 0.072223          
156 1.56 6.656 0.46237799 0.448283 0.455331 0.070051          
157 1.57 6.698667 0.44828318 0.434253 0.441268 0.067887          
158 1.58 6.741333 0.43425336 0.420306 0.42728 0.065735          
159 1.59 6.784 0.42030587 0.406458 0.413382 0.063597          
160 1.6 6.826667 0.40645774 0.392726 0.399592 0.061476          
161 1.61 6.869333 0.39272564 0.379126 0.385926 0.059373          
162 1.62 6.912 0.37912578 0.365674 0.3724 0.057292          
163 1.63 6.954667 0.36567392 0.352385 0.35903 0.055235          
164 1.64 6.997333 0.35238524 0.339274 0.34583 0.053205          
165 1.65 7.04 0.33927436 0.326355 0.332815 0.051202          
166 1.66 7.082667 0.32635524 0.313641 0.319998 0.04923          
167 1.67 7.125333 0.31364116 0.301145 0.307393 0.047291          
168 1.68 7.168 0.30114467 0.288878 0.295011 0.045386          
169 1.69 7.210667 0.28887756 0.276851 0.282864 0.043518          
170 1.7 7.253333 0.27685085 0.265075 0.270963 0.041687          
171 1.71 7.296 0.2650747 0.253558 0.259317 0.039895          
172 1.72 7.338667 0.25355848 0.242311 0.247935 0.038144          
173 1.73 7.381333 0.24231066 0.231339 0.236825 0.036435          
174 1.74 7.424 0.23133888 0.22065 0.225994 0.034768          
175 1.75 7.466667 0.22064988 0.21025 0.21545 0.033146          
176 1.76 7.509333 0.21024952 0.200143 0.205196 0.031569          
177 1.77 7.552 0.20014279 0.190334 0.195238 0.030037          
178 1.78 7.594667 0.19033382 0.180826 0.18558 0.028551          
179 1.79 7.637333 0.18082585 0.171621 0.176224 0.027111          
180 1.8 7.68 0.17162128 0.162722 0.167171 0.025719          
181 1.81 7.722667 0.1627217 0.154128 0.158425 0.024373          
182 1.82 7.765333 0.15412787 0.14584 0.149984 0.023074          
183 1.83 7.808 0.14583977 0.137857 0.141848 0.021823          
184 1.84 7.850667 0.13785661 0.130177 0.134017 0.020618          
185 1.85 7.893333 0.13017689 0.122798 0.126488 0.01946          
186 1.86 7.936 0.12279841 0.115718 0.119258 0.018347          
187 1.87 7.978667 0.11571831 0.108933 0.112326 0.017281          
188 1.88 8.021333 0.10893311 0.102439 0.105686 0.016259          
189 1.89 8.064 0.10243873 0.096231 0.099335 0.015282          
190 1.9 8.106667 0.09623056 0.090303 0.093267 0.014349          
191 1.91 8.149333 0.09030349 0.084652 0.087478 0.013458          
192 1.92 8.192 0.08465193 0.07927 0.081961 0.012609          
193 1.93 8.234667 0.07926989 0.074151 0.07671 0.011802          
194 1.94 8.277333 0.07415099 0.069289 0.07172 0.011034          
195 1.95 8.32 0.06928852 0.064675 0.066982 0.010305          
196 1.96 8.362667 0.06467545 0.060305 0.06249 0.009614          
197 1.97 8.405333 0.06030454 0.056168 0.058236 0.008959          
198 1.98 8.448 0.0561683 0.052259 0.054214 0.008341          
199 1.99 8.490667 0.05225907 0.048569 0.050414 0.007756          
200 2 8.533333 0.04856907 0.04509 0.04683 0.007205          
201 2.01 8.576 0.0450904 0.041815 0.043453 0.006685          
202 2.02 8.618667 0.0418151 0.038735 0.040275 0.006196          
203 2.03 8.661333 0.03873517 0.035843 0.037289 0.005737          
204 2.04 8.704 0.03584263 0.033129 0.034486 0.005306          
205 2.05 8.746667 0.0331295 0.030588 0.031859 0.004901          
206 2.06 8.789333 0.03058787 0.02821 0.029399 0.004523          
207 2.07 8.832 0.0282099 0.025988 0.027099 0.004169          
208 2.08 8.874667 0.02598788 0.023914 0.024951 0.003839          
209 2.09 8.917333 0.02391419 0.021981 0.022948 0.00353          
210 2.1 8.96 0.02198138 0.020182 0.021082 0.003243          
211 2.11 9.002667 0.02018215 0.018509 0.019346 0.002976          
212 2.12 9.045333 0.01850939 0.016956 0.017733 0.002728          
213 2.13 9.088 0.01695617 0.015516 0.016236 0.002498          
214 2.14 9.130667 0.01551577 0.014182 0.014849 0.002284          
215 2.15 9.173333 0.01418168 0.012948 0.013565 0.002087          
216 2.16 9.216 0.01294763 0.011808 0.012378 0.001904          
217 2.17 9.258667 0.01180754 0.010756 0.011282 0.001736          
218 2.18 9.301333 0.0107556 0.009786 0.010271 0.00158          
219 2.19 9.344 0.00978621 0.008894 0.00934 0.001437          
220 2.2 9.386667 0.00889403 0.008074 0.008484 0.001305          
221 2.21 9.429333 0.00807394 0.007321 0.007698 0.001184          
222 2.22 9.472 0.00732108 0.006631 0.006976 0.001073          
223 2.23 9.514667 0.00663079 0.005999 0.006315 0.000971          
224 2.24 9.557333 0.00599869 0.005421 0.00571 0.000878          
225 2.25 9.6 0.0054206 0.004893 0.005157 0.000793          
226 2.26 9.642667 0.00489257 0.004411 0.004652 0.000716          
227 2.27 9.685333 0.00441087 0.003972 0.004191 0.000645          
228 2.28 9.728 0.003972 0.003573 0.003772 0.00058          
229 2.29 9.770667 0.00357265 0.00321 0.003391 0.000522          
230 2.3 9.813333 0.00320972 0.00288 0.003045 0.000468          
231 2.31 9.856 0.00288031 0.002582 0.002731 0.00042          
232 2.32 9.898667 0.0025817 0.002311 0.002447 0.000376          
233 2.33 9.941333 0.00231135 0.002067 0.002189 0.000337          
234 2.34 9.984 0.00206689 0.001846 0.001957 0.000301          
235 2.35 10.02667 0.00184613 0.001647 0.001747 0.000269          
236 2.36 10.06933 0.00164702 0.001468 0.001557 0.00024          
237 2.37 10.112 0.00146767 0.001306 0.001387 0.000213          
238 2.38 10.15467 0.00130631 0.001161 0.001234 0.00019          
239 2.39 10.19733 0.00116132 0.001031 0.001096 0.000169          
240 2.4 10.24 0.00103122 0.000915 0.000973 0.00015          
241 2.41 10.28267 0.00091461 0.00081 0.000862 0.000133          
242 2.42 10.32533 0.00081023 0.000717 0.000764 0.000117          
243 2.43 10.368 0.00071692 0.000634 0.000675 0.000104          
244 2.44 10.41067 0.0006336 0.000559 0.000596 9.18E-05          
245 2.45 10.45333 0.00055931 0.000493 0.000526 8.1E-05          
246 2.46 10.496 0.00049314 0.000434 0.000464 7.13E-05          
247 2.47 10.53867 0.00043429 0.000382 0.000408 6.28E-05          
248 2.48 10.58133 0.000382 0.000336 0.000359 5.52E-05          
249 2.49 10.624 0.00033561 0.000295 0.000315 4.85E-05          
250 2.5 10.66667 0.00029451 0.000258 0.000276 4.25E-05          
251 2.51 10.70933 0.00025813 0.000226 0.000242 3.72E-05          
252 2.52 10.752 0.00022598 0.000198 0.000212 3.26E-05          
253 2.53 10.79467 0.00019759 0.000173 0.000185 2.85E-05          
254 2.54 10.83733 0.00017257 0.000151 0.000162 2.49E-05          
255 2.55 10.88 0.00015053 0.000131 0.000141 2.17E-05          
256 2.56 10.92267 0.00013115 0.000114 0.000123 1.89E-05          
257 2.57 10.96533 0.00011413 9.92E-05 0.000107 1.64E-05          
258 2.58 11.008 9.9203E-05 8.61E-05 9.27E-05 1.43E-05          
259 2.59 11.05067 8.6123E-05 7.47E-05 8.04E-05 1.24E-05          
260 2.6 11.09333 7.4677E-05 6.47E-05 6.97E-05 1.07E-05          
261 2.61 11.136 6.4676E-05 5.59E-05 6.03E-05 9.28E-06          
262 2.62 11.17867 5.5946E-05 4.83E-05 5.21E-05 8.02E-06          
263 2.63 11.22133 4.8337E-05 4.17E-05 4.5E-05 6.93E-06          
264 2.64 11.264 4.1712E-05 3.6E-05 3.88E-05 5.97E-06          
265 2.65 11.30667 3.5952E-05 3.1E-05 3.35E-05 5.15E-06          
266 2.66 11.34933 3.0951E-05 2.66E-05 2.88E-05 4.43E-06          
267 2.67 11.392 2.6612E-05 2.29E-05 2.47E-05 3.81E-06          
268 2.68 11.43467 2.2855E-05 1.96E-05 2.12E-05 3.27E-06          
269 2.69 11.47733 1.9604E-05 1.68E-05 1.82E-05 2.8E-06          
270 2.7 11.52 1.6796E-05 1.44E-05 1.56E-05 2.4E-06          
271 2.71 11.56267 1.4372E-05 1.23E-05 1.33E-05 2.05E-06          
272 2.72 11.60533 1.2283E-05 1.05E-05 1.14E-05 1.75E-06          
273 2.73 11.648 1.0485E-05 8.94E-06 9.71E-06 1.49E-06          
274 2.74 11.69067 8.94E-06 7.61E-06 8.28E-06 1.27E-06          
275 2.75 11.73333 7.613E-06 6.48E-06 7.04E-06 1.08E-06          
276 2.76 11.776 6.4752E-06 5.5E-06 5.99E-06 9.21E-07          
277 2.77 11.81867 5.5008E-06 4.67E-06 5.08E-06 7.82E-07          
278 2.78 11.86133 4.6673E-06 3.96E-06 4.31E-06 6.63E-07          
279 2.79 11.904 3.9553E-06 3.35E-06 3.65E-06 5.62E-07          
280 2.8 11.94667 3.3479E-06 2.83E-06 3.09E-06 4.75E-07          
281 2.81 11.98933 2.8303E-06 2.39E-06 2.61E-06 4.02E-07          
282 2.82 12.032 2.3898E-06 2.02E-06 2.2E-06 3.39E-07          
283 2.83 12.07467 2.0155E-06 1.7E-06 1.86E-06 2.86E-07          
284 2.84 12.11733 1.6977E-06 1.43E-06 1.56E-06 2.4E-07          
285 2.85 12.16 1.4282E-06 1.2E-06 1.31E-06 2.02E-07          
286 2.86 12.20267 1.2001E-06 1.01E-06 1.1E-06 1.7E-07          
287 2.87 12.24533 1.0072E-06 8.44E-07 9.26E-07 1.42E-07          
288 2.88 12.288 8.4427E-07 7.07E-07 7.76E-07 1.19E-07          
289 2.89 12.33067 7.0683E-07 5.91E-07 6.49E-07 9.98E-08          
290 2.9 12.37333 5.9104E-07 4.94E-07 5.42E-07 8.34E-08          
291 2.91 12.416 4.9362E-07 4.12E-07 4.53E-07 6.96E-08          
292 2.92 12.45867 4.1175E-07 3.43E-07 3.77E-07 5.81E-08          
293 2.93 12.50133 3.4305E-07 2.85E-07 3.14E-07 4.83E-08          
294 2.94 12.544 2.8546E-07 2.37E-07 2.61E-07 4.02E-08          
295 2.95 12.58667 2.3724E-07 1.97E-07 2.17E-07 3.34E-08          
296 2.96 12.62933 1.9693E-07 1.63E-07 1.8E-07 2.77E-08          
297 2.97 12.672 1.6327E-07 1.35E-07 1.49E-07 2.3E-08          
298 2.98 12.71467 1.352E-07 1.12E-07 1.24E-07 1.9E-08          
299 2.99 12.75733 1.1181E-07 9.24E-08 1.02E-07 1.57E-08          
300 3 12.8 9.2363E-08 7.62E-08 8.43E-08 1.3E-08          
        SUM   69.59135          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.1776
Qo= 7.00 vph   Ko=   1.076923 veh/mile        
MU 6.50 mph   No=   3  veh        
SIGMA 1.20 mph   ALPHAO= 0.9286 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 4.87   PER HOUR= 20.78
        STANDARD DEVIATION= 2.21     4
        DETERMINISTIC  EQUATION= 4.87      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       3.230769          
1 0.01 0.042667 0.99999997 1 1 0.010769          
2 0.02 0.085333 0.99999996 1 1 0.010769          
3 0.03 0.128 0.99999995 1 1 0.010769          
4 0.04 0.170667 0.99999995 1 1 0.010769          
5 0.05 0.213333 0.99999993 1 1 0.010769          
6 0.06 0.256 0.99999992 1 1 0.010769          
7 0.07 0.298667 0.9999999 1 1 0.010769          
8 0.08 0.341333 0.99999988 1 1 0.010769          
9 0.09 0.384 0.99999986 1 1 0.010769          
10 0.1 0.426667 0.99999983 1 1 0.010769          
11 0.11 0.469333 0.99999979 1 1 0.010769          
12 0.12 0.512 0.99999975 1 1 0.010769          
13 0.13 0.554667 0.9999997 1 1 0.010769          
14 0.14 0.597333 0.99999964 1 1 0.010769          
15 0.15 0.64 0.99999956 0.999999 1 0.010769          
16 0.16 0.682667 0.99999948 0.999999 0.999999 0.010769          
17 0.17 0.725333 0.99999937 0.999999 0.999999 0.010769          
18 0.18 0.768 0.99999925 0.999999 0.999999 0.010769          
19 0.19 0.810667 0.99999911 0.999999 0.999999 0.010769          
20 0.2 0.853333 0.99999894 0.999999 0.999999 0.010769          
21 0.21 0.896 0.99999873 0.999998 0.999999 0.010769          
22 0.22 0.938667 0.99999849 0.999998 0.999998 0.010769          
23 0.23 0.981333 0.99999821 0.999998 0.999998 0.010769          
24 0.24 1.024 0.99999787 0.999997 0.999998 0.010769          
25 0.25 1.066667 0.99999748 0.999997 0.999997 0.010769          
26 0.26 1.109333 0.99999702 0.999996 0.999997 0.010769          
27 0.27 1.152 0.99999647 0.999996 0.999996 0.010769          
28 0.28 1.194667 0.99999583 0.999995 0.999995 0.010769          
29 0.29 1.237333 0.99999509 0.999994 0.999995 0.010769          
30 0.3 1.28 0.99999421 0.999993 0.999994 0.010769          
31 0.31 1.322667 0.99999319 0.999992 0.999993 0.010769          
32 0.32 1.365333 0.99999199 0.999991 0.999991 0.010769          
33 0.33 1.408 0.9999906 0.999989 0.99999 0.010769          
34 0.34 1.450667 0.99998898 0.999987 0.999988 0.010769          
35 0.35 1.493333 0.9999871 0.999985 0.999986 0.010769          
36 0.36 1.536 0.99998491 0.999982 0.999984 0.010769          
37 0.37 1.578667 0.99998237 0.999979 0.999981 0.010769          
38 0.38 1.621333 0.99997943 0.999976 0.999978 0.010769          
39 0.39 1.664 0.99997603 0.999972 0.999974 0.010769          
40 0.4 1.706667 0.9999721 0.999968 0.99997 0.010769          
41 0.41 1.749333 0.99996756 0.999962 0.999965 0.010769          
42 0.42 1.792 0.99996233 0.999956 0.999959 0.010769          
43 0.43 1.834667 0.99995632 0.999949 0.999953 0.010769          
44 0.44 1.877333 0.9999494 0.999941 0.999945 0.010769          
45 0.45 1.92 0.99994145 0.999932 0.999937 0.010769          
46 0.46 1.962667 0.99993234 0.999922 0.999927 0.010768          
47 0.47 2.005333 0.99992191 0.99991 0.999916 0.010768          
48 0.48 2.048 0.99990997 0.999896 0.999903 0.010768          
49 0.49 2.090667 0.99989634 0.999881 0.999889 0.010768          
50 0.5 2.133333 0.99988078 0.999863 0.999872 0.010768          
51 0.51 2.176 0.99986306 0.999843 0.999853 0.010768          
52 0.52 2.218667 0.99984288 0.99982 0.999831 0.010767          
53 0.53 2.261333 0.99981995 0.999794 0.999807 0.010767          
54 0.54 2.304 0.99979392 0.999764 0.999779 0.010767          
55 0.55 2.346667 0.9997644 0.999731 0.999748 0.010767          
56 0.56 2.389333 0.99973098 0.999693 0.999712 0.010766          
57 0.57 2.432 0.99969318 0.99965 0.999672 0.010766          
58 0.58 2.474667 0.99965048 0.999602 0.999626 0.010765          
59 0.59 2.517333 0.99960232 0.999548 0.999575 0.010765          
60 0.6 2.56 0.99954806 0.999487 0.999518 0.010764          
61 0.61 2.602667 0.999487 0.999418 0.999453 0.010763          
62 0.62 2.645333 0.99941839 0.999341 0.99938 0.010763          
63 0.63 2.688 0.99934137 0.999255 0.999298 0.010762          
64 0.64 2.730667 0.99925504 0.999158 0.999207 0.010761          
65 0.65 2.773333 0.99915839 0.99905 0.999104 0.01076          
66 0.66 2.816 0.99905032 0.99893 0.99899 0.010758          
67 0.67 2.858667 0.99892964 0.998795 0.998862 0.010757          
68 0.68 2.901333 0.99879504 0.998645 0.99872 0.010755          
69 0.69 2.944 0.9986451 0.998478 0.998562 0.010754          
70 0.7 2.986667 0.9984783 0.998293 0.998386 0.010752          
71 0.71 3.029333 0.99829296 0.998087 0.99819 0.01075          
72 0.72 3.072 0.9980873 0.997859 0.997973 0.010747          
73 0.73 3.114667 0.99785936 0.997607 0.997733 0.010745          
74 0.74 3.157333 0.99760706 0.997328 0.997468 0.010742          
75 0.75 3.2 0.99732814 0.99702 0.997174 0.010739          
76 0.76 3.242667 0.99702018 0.996681 0.99685 0.010735          
77 0.77 3.285333 0.9966806 0.996307 0.996494 0.010731          
78 0.78 3.328 0.99630661 0.995895 0.996101 0.010727          
79 0.79 3.370667 0.99589525 0.995443 0.995669 0.010723          
80 0.8 3.413333 0.99544336 0.994948 0.995195 0.010717          
81 0.81 3.456 0.99494757 0.994404 0.994676 0.010712          
82 0.82 3.498667 0.99440431 0.99381 0.994107 0.010706          
83 0.83 3.541333 0.99380977 0.99316 0.993485 0.010699          
84 0.84 3.584 0.99315994 0.992451 0.992805 0.010692          
85 0.85 3.626667 0.99245059 0.991677 0.992064 0.010684          
86 0.86 3.669333 0.99167723 0.990835 0.991256 0.010675          
87 0.87 3.712 0.99083514 0.989919 0.990377 0.010666          
88 0.88 3.754667 0.9899194 0.988925 0.989422 0.010655          
89 0.89 3.797333 0.9889248 0.987846 0.988385 0.010644          
90 0.9 3.84 0.98784592 0.986677 0.987262 0.010632          
91 0.91 3.882667 0.98667711 0.985412 0.986045 0.010619          
92 0.92 3.925333 0.98541245 0.984046 0.984729 0.010605          
93 0.93 3.968 0.98404583 0.982571 0.983308 0.010589          
94 0.94 4.010667 0.98257088 0.980981 0.981776 0.010573          
95 0.95 4.053333 0.98098104 0.97927 0.980125 0.010555          
96 0.96 4.096 0.97926951 0.977429 0.978349 0.010536          
97 0.97 4.138667 0.97742931 0.975453 0.976441 0.010516          
98 0.98 4.181333 0.97545326 0.973334 0.974394 0.010493          
99 0.99 4.224 0.97333403 0.971064 0.972199 0.01047          
100 1 4.266667 0.97106409 0.968636 0.96985 0.010445          
101 1.01 4.309333 0.96863582 0.966041 0.967339 0.010417          
102 1.02 4.352 0.96604144 0.963273 0.964657 0.010389          
103 1.03 4.394667 0.9632731 0.960323 0.961798 0.010358          
104 1.04 4.437333 0.96032285 0.957183 0.958753 0.010325          
105 1.05 4.48 0.95718273 0.953845 0.955514 0.01029          
106 1.06 4.522667 0.95384474 0.950301 0.952073 0.010253          
107 1.07 4.565333 0.95030088 0.946543 0.948422 0.010214          
108 1.08 4.608 0.94654321 0.942564 0.944554 0.010172          
109 1.09 4.650667 0.94256387 0.938355 0.940459 0.010128          
110 1.1 4.693333 0.93835511 0.933909 0.936132 0.010081          
111 1.11 4.736 0.93390932 0.929219 0.931564 0.010032          
112 1.12 4.778667 0.92921909 0.924277 0.926748 0.00998          
113 1.13 4.821333 0.92427722 0.919077 0.921677 0.009926          
114 1.14 4.864 0.9190768 0.913611 0.916344 0.009868          
115 1.15 4.906667 0.9136112 0.907874 0.910743 0.009808          
116 1.16 4.949333 0.90787417 0.90186 0.904867 0.009745          
117 1.17 4.992 0.90185984 0.895563 0.898711 0.009678          
118 1.18 5.034667 0.89556275 0.888978 0.89227 0.009609          
119 1.19 5.077333 0.88897796 0.882101 0.885539 0.009537          
120 1.2 5.12 0.88210101 0.874928 0.878515 0.009461          
121 1.21 5.162667 0.87492801 0.867456 0.871192 0.009382          
122 1.22 5.205333 0.86745567 0.859681 0.863569 0.0093          
123 1.23 5.248 0.85968133 0.851603 0.855642 0.009215          
124 1.24 5.290667 0.85160301 0.843219 0.847411 0.009126          
125 1.25 5.333333 0.84321941 0.83453 0.838875 0.009034          
126 1.26 5.376 0.83453 0.825535 0.830032 0.008939          
127 1.27 5.418667 0.825535 0.816235 0.820885 0.00884          
128 1.28 5.461333 0.81623541 0.806633 0.811434 0.008739          
129 1.29 5.504 0.80663308 0.796731 0.801682 0.008633          
130 1.3 5.546667 0.79673067 0.786532 0.791631 0.008525          
131 1.31 5.589333 0.7865317 0.776041 0.781286 0.008414          
132 1.32 5.632 0.77604056 0.765263 0.770652 0.008299          
133 1.33 5.674667 0.76526251 0.754204 0.759733 0.008182          
134 1.34 5.717333 0.75420371 0.742871 0.748537 0.008061          
135 1.35 5.76 0.74287115 0.731273 0.737072 0.007938          
136 1.36 5.802667 0.73127275 0.719417 0.725345 0.007811          
137 1.37 5.845333 0.71941726 0.707314 0.713366 0.007682          
138 1.38 5.888 0.70731429 0.694974 0.701144 0.007551          
139 1.39 5.930667 0.69497428 0.682408 0.688691 0.007417          
140 1.4 5.973333 0.68240849 0.669629 0.676019 0.00728          
141 1.41 6.016 0.66962895 0.656648 0.663139 0.007141          
142 1.42 6.058667 0.65664844 0.64348 0.650064 0.007001          
143 1.43 6.101333 0.64348047 0.630139 0.63681 0.006858          
144 1.44 6.144 0.6301392 0.616639 0.623389 0.006713          
145 1.45 6.186667 0.61663943 0.602997 0.609818 0.006567          
146 1.46 6.229333 0.60299653 0.589226 0.596111 0.00642          
147 1.47 6.272 0.5892264 0.575345 0.582286 0.006271          
148 1.48 6.314667 0.57534542 0.56137 0.568358 0.006121          
149 1.49 6.357333 0.56137036 0.547318 0.554344 0.00597          
150 1.5 6.4 0.54731835 0.533207 0.540263 0.005818          
151 1.51 6.442667 0.53320682 0.519053 0.52613 0.005666          
152 1.52 6.485333 0.51905339 0.504876 0.511965 0.005513          
153 1.53 6.528 0.50487587 0.490692 0.497784 0.005361          
154 1.54 6.570667 0.49069215 0.47652 0.483606 0.005208          
155 1.55 6.613333 0.47652023 0.462378 0.469449 0.005056          
156 1.56 6.656 0.46237799 0.448283 0.455331 0.004904          
157 1.57 6.698667 0.44828318 0.434253 0.441268 0.004752          
158 1.58 6.741333 0.43425336 0.420306 0.42728 0.004601          
159 1.59 6.784 0.42030587 0.406458 0.413382 0.004452          
160 1.6 6.826667 0.40645774 0.392726 0.399592 0.004303          
161 1.61 6.869333 0.39272564 0.379126 0.385926 0.004156          
162 1.62 6.912 0.37912578 0.365674 0.3724 0.00401          
163 1.63 6.954667 0.36567392 0.352385 0.35903 0.003866          
164 1.64 6.997333 0.35238524 0.339274 0.34583 0.003724          
165 1.65 7.04 0.33927436 0.326355 0.332815 0.003584          
166 1.66 7.082667 0.32635524 0.313641 0.319998 0.003446          
167 1.67 7.125333 0.31364116 0.301145 0.307393 0.00331          
168 1.68 7.168 0.30114467 0.288878 0.295011 0.003177          
169 1.69 7.210667 0.28887756 0.276851 0.282864 0.003046          
170 1.7 7.253333 0.27685085 0.265075 0.270963 0.002918          
171 1.71 7.296 0.2650747 0.253558 0.259317 0.002793          
172 1.72 7.338667 0.25355848 0.242311 0.247935 0.00267          
173 1.73 7.381333 0.24231066 0.231339 0.236825 0.00255          
174 1.74 7.424 0.23133888 0.22065 0.225994 0.002434          
175 1.75 7.466667 0.22064988 0.21025 0.21545 0.00232          
176 1.76 7.509333 0.21024952 0.200143 0.205196 0.00221          
177 1.77 7.552 0.20014279 0.190334 0.195238 0.002103          
178 1.78 7.594667 0.19033382 0.180826 0.18558 0.001999          
179 1.79 7.637333 0.18082585 0.171621 0.176224 0.001898          
180 1.8 7.68 0.17162128 0.162722 0.167171 0.0018          
181 1.81 7.722667 0.1627217 0.154128 0.158425 0.001706          
182 1.82 7.765333 0.15412787 0.14584 0.149984 0.001615          
183 1.83 7.808 0.14583977 0.137857 0.141848 0.001528          
184 1.84 7.850667 0.13785661 0.130177 0.134017 0.001443          
185 1.85 7.893333 0.13017689 0.122798 0.126488 0.001362          
186 1.86 7.936 0.12279841 0.115718 0.119258 0.001284          
187 1.87 7.978667 0.11571831 0.108933 0.112326 0.00121          
188 1.88 8.021333 0.10893311 0.102439 0.105686 0.001138          
189 1.89 8.064 0.10243873 0.096231 0.099335 0.00107          
190 1.9 8.106667 0.09623056 0.090303 0.093267 0.001004          
191 1.91 8.149333 0.09030349 0.084652 0.087478 0.000942          
192 1.92 8.192 0.08465193 0.07927 0.081961 0.000883          
193 1.93 8.234667 0.07926989 0.074151 0.07671 0.000826          
194 1.94 8.277333 0.07415099 0.069289 0.07172 0.000772          
195 1.95 8.32 0.06928852 0.064675 0.066982 0.000721          
196 1.96 8.362667 0.06467545 0.060305 0.06249 0.000673          
197 1.97 8.405333 0.06030454 0.056168 0.058236 0.000627          
198 1.98 8.448 0.0561683 0.052259 0.054214 0.000584          
199 1.99 8.490667 0.05225907 0.048569 0.050414 0.000543          
200 2 8.533333 0.04856907 0.04509 0.04683 0.000504          
201 2.01 8.576 0.0450904 0.041815 0.043453 0.000468          
202 2.02 8.618667 0.0418151 0.038735 0.040275 0.000434          
203 2.03 8.661333 0.03873517 0.035843 0.037289 0.000402          
204 2.04 8.704 0.03584263 0.033129 0.034486 0.000371          
205 2.05 8.746667 0.0331295 0.030588 0.031859 0.000343          
206 2.06 8.789333 0.03058787 0.02821 0.029399 0.000317          
207 2.07 8.832 0.0282099 0.025988 0.027099 0.000292          
208 2.08 8.874667 0.02598788 0.023914 0.024951 0.000269          
209 2.09 8.917333 0.02391419 0.021981 0.022948 0.000247          
210 2.1 8.96 0.02198138 0.020182 0.021082 0.000227          
211 2.11 9.002667 0.02018215 0.018509 0.019346 0.000208          
212 2.12 9.045333 0.01850939 0.016956 0.017733 0.000191          
213 2.13 9.088 0.01695617 0.015516 0.016236 0.000175          
214 2.14 9.130667 0.01551577 0.014182 0.014849 0.00016          
215 2.15 9.173333 0.01418168 0.012948 0.013565 0.000146          
216 2.16 9.216 0.01294763 0.011808 0.012378 0.000133          
217 2.17 9.258667 0.01180754 0.010756 0.011282 0.000121          
218 2.18 9.301333 0.0107556 0.009786 0.010271 0.000111          
219 2.19 9.344 0.00978621 0.008894 0.00934 0.000101          
220 2.2 9.386667 0.00889403 0.008074 0.008484 9.14E-05          
221 2.21 9.429333 0.00807394 0.007321 0.007698 8.29E-05          
222 2.22 9.472 0.00732108 0.006631 0.006976 7.51E-05          
223 2.23 9.514667 0.00663079 0.005999 0.006315 6.8E-05          
224 2.24 9.557333 0.00599869 0.005421 0.00571 6.15E-05          
225 2.25 9.6 0.0054206 0.004893 0.005157 5.55E-05          
226 2.26 9.642667 0.00489257 0.004411 0.004652 5.01E-05          
227 2.27 9.685333 0.00441087 0.003972 0.004191 4.51E-05          
228 2.28 9.728 0.003972 0.003573 0.003772 4.06E-05          
229 2.29 9.770667 0.00357265 0.00321 0.003391 3.65E-05          
230 2.3 9.813333 0.00320972 0.00288 0.003045 3.28E-05          
231 2.31 9.856 0.00288031 0.002582 0.002731 2.94E-05          
232 2.32 9.898667 0.0025817 0.002311 0.002447 2.63E-05          
233 2.33 9.941333 0.00231135 0.002067 0.002189 2.36E-05          
234 2.34 9.984 0.00206689 0.001846 0.001957 2.11E-05          
235 2.35 10.02667 0.00184613 0.001647 0.001747 1.88E-05          
236 2.36 10.06933 0.00164702 0.001468 0.001557 1.68E-05          
237 2.37 10.112 0.00146767 0.001306 0.001387 1.49E-05          
238 2.38 10.15467 0.00130631 0.001161 0.001234 1.33E-05          
239 2.39 10.19733 0.00116132 0.001031 0.001096 1.18E-05          
240 2.4 10.24 0.00103122 0.000915 0.000973 1.05E-05          
241 2.41 10.28267 0.00091461 0.00081 0.000862 9.29E-06          
242 2.42 10.32533 0.00081023 0.000717 0.000764 8.22E-06          
243 2.43 10.368 0.00071692 0.000634 0.000675 7.27E-06          
244 2.44 10.41067 0.0006336 0.000559 0.000596 6.42E-06          
245 2.45 10.45333 0.00055931 0.000493 0.000526 5.67E-06          
246 2.46 10.496 0.00049314 0.000434 0.000464 4.99E-06          
247 2.47 10.53867 0.00043429 0.000382 0.000408 4.4E-06          
248 2.48 10.58133 0.000382 0.000336 0.000359 3.86E-06          
249 2.49 10.624 0.00033561 0.000295 0.000315 3.39E-06          
250 2.5 10.66667 0.00029451 0.000258 0.000276 2.98E-06          
251 2.51 10.70933 0.00025813 0.000226 0.000242 2.61E-06          
252 2.52 10.752 0.00022598 0.000198 0.000212 2.28E-06          
253 2.53 10.79467 0.00019759 0.000173 0.000185 1.99E-06          
254 2.54 10.83733 0.00017257 0.000151 0.000162 1.74E-06          
255 2.55 10.88 0.00015053 0.000131 0.000141 1.52E-06          
256 2.56 10.92267 0.00013115 0.000114 0.000123 1.32E-06          
257 2.57 10.96533 0.00011413 9.92E-05 0.000107 1.15E-06          
258 2.58 11.008 9.9203E-05 8.61E-05 9.27E-05 9.98E-07          
259 2.59 11.05067 8.6123E-05 7.47E-05 8.04E-05 8.66E-07          
260 2.6 11.09333 7.4677E-05 6.47E-05 6.97E-05 7.5E-07          
261 2.61 11.136 6.4676E-05 5.59E-05 6.03E-05 6.5E-07          
262 2.62 11.17867 5.5946E-05 4.83E-05 5.21E-05 5.62E-07          
263 2.63 11.22133 4.8337E-05 4.17E-05 4.5E-05 4.85E-07          
264 2.64 11.264 4.1712E-05 3.6E-05 3.88E-05 4.18E-07          
265 2.65 11.30667 3.5952E-05 3.1E-05 3.35E-05 3.6E-07          
266 2.66 11.34933 3.0951E-05 2.66E-05 2.88E-05 3.1E-07          
267 2.67 11.392 2.6612E-05 2.29E-05 2.47E-05 2.66E-07          
268 2.68 11.43467 2.2855E-05 1.96E-05 2.12E-05 2.29E-07          
269 2.69 11.47733 1.9604E-05 1.68E-05 1.82E-05 1.96E-07          
270 2.7 11.52 1.6796E-05 1.44E-05 1.56E-05 1.68E-07          
271 2.71 11.56267 1.4372E-05 1.23E-05 1.33E-05 1.44E-07          
272 2.72 11.60533 1.2283E-05 1.05E-05 1.14E-05 1.23E-07          
273 2.73 11.648 1.0485E-05 8.94E-06 9.71E-06 1.05E-07          
274 2.74 11.69067 8.94E-06 7.61E-06 8.28E-06 8.91E-08          
275 2.75 11.73333 7.613E-06 6.48E-06 7.04E-06 7.59E-08          
276 2.76 11.776 6.4752E-06 5.5E-06 5.99E-06 6.45E-08          
277 2.77 11.81867 5.5008E-06 4.67E-06 5.08E-06 5.48E-08          
278 2.78 11.86133 4.6673E-06 3.96E-06 4.31E-06 4.64E-08          
279 2.79 11.904 3.9553E-06 3.35E-06 3.65E-06 3.93E-08          
280 2.8 11.94667 3.3479E-06 2.83E-06 3.09E-06 3.33E-08          
281 2.81 11.98933 2.8303E-06 2.39E-06 2.61E-06 2.81E-08          
282 2.82 12.032 2.3898E-06 2.02E-06 2.2E-06 2.37E-08          
283 2.83 12.07467 2.0155E-06 1.7E-06 1.86E-06 2E-08          
284 2.84 12.11733 1.6977E-06 1.43E-06 1.56E-06 1.68E-08          
285 2.85 12.16 1.4282E-06 1.2E-06 1.31E-06 1.42E-08          
286 2.86 12.20267 1.2001E-06 1.01E-06 1.1E-06 1.19E-08          
287 2.87 12.24533 1.0072E-06 8.44E-07 9.26E-07 9.97E-09          
288 2.88 12.288 8.4427E-07 7.07E-07 7.76E-07 8.35E-09          
289 2.89 12.33067 7.0683E-07 5.91E-07 6.49E-07 6.99E-09          
290 2.9 12.37333 5.9104E-07 4.94E-07 5.42E-07 5.84E-09          
291 2.91 12.416 4.9362E-07 4.12E-07 4.53E-07 4.88E-09          
292 2.92 12.45867 4.1175E-07 3.43E-07 3.77E-07 4.06E-09          
293 2.93 12.50133 3.4305E-07 2.85E-07 3.14E-07 3.38E-09          
294 2.94 12.544 2.8546E-07 2.37E-07 2.61E-07 2.81E-09          
295 2.95 12.58667 2.3724E-07 1.97E-07 2.17E-07 2.34E-09          
296 2.96 12.62933 1.9693E-07 1.63E-07 1.8E-07 1.94E-09          
297 2.97 12.672 1.6327E-07 1.35E-07 1.49E-07 1.61E-09          
298 2.98 12.71467 1.352E-07 1.12E-07 1.24E-07 1.33E-09          
299 2.99 12.75733 1.1181E-07 9.24E-08 1.02E-07 1.1E-09          
300 3 12.8 9.2363E-08 7.62E-08 8.43E-08 9.08E-10          
        SUM   4.871394          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.1776
Qo= 21.34 vph   Ko=   3.283077 veh/mile        
MU 6.50 mph   No=   10  veh        
SIGMA 1.20 mph   ALPHAO= 0.3046 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 14.85   PER HOUR= 63.36
        STANDARD DEVIATION= 3.85     5
        DETERMINISTIC  EQUATION= 14.85      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       9.849231          
1 0.01 0.042667 0.99999997 1 1 0.032831          
2 0.02 0.085333 0.99999996 1 1 0.032831          
3 0.03 0.128 0.99999995 1 1 0.032831          
4 0.04 0.170667 0.99999995 1 1 0.032831          
5 0.05 0.213333 0.99999993 1 1 0.032831          
6 0.06 0.256 0.99999992 1 1 0.032831          
7 0.07 0.298667 0.9999999 1 1 0.032831          
8 0.08 0.341333 0.99999988 1 1 0.032831          
9 0.09 0.384 0.99999986 1 1 0.032831          
10 0.1 0.426667 0.99999983 1 1 0.032831          
11 0.11 0.469333 0.99999979 1 1 0.032831          
12 0.12 0.512 0.99999975 1 1 0.032831          
13 0.13 0.554667 0.9999997 1 1 0.032831          
14 0.14 0.597333 0.99999964 1 1 0.032831          
15 0.15 0.64 0.99999956 0.999999 1 0.032831          
16 0.16 0.682667 0.99999948 0.999999 0.999999 0.032831          
17 0.17 0.725333 0.99999937 0.999999 0.999999 0.032831          
18 0.18 0.768 0.99999925 0.999999 0.999999 0.032831          
19 0.19 0.810667 0.99999911 0.999999 0.999999 0.032831          
20 0.2 0.853333 0.99999894 0.999999 0.999999 0.032831          
21 0.21 0.896 0.99999873 0.999998 0.999999 0.032831          
22 0.22 0.938667 0.99999849 0.999998 0.999998 0.032831          
23 0.23 0.981333 0.99999821 0.999998 0.999998 0.032831          
24 0.24 1.024 0.99999787 0.999997 0.999998 0.032831          
25 0.25 1.066667 0.99999748 0.999997 0.999997 0.032831          
26 0.26 1.109333 0.99999702 0.999996 0.999997 0.032831          
27 0.27 1.152 0.99999647 0.999996 0.999996 0.032831          
28 0.28 1.194667 0.99999583 0.999995 0.999995 0.032831          
29 0.29 1.237333 0.99999509 0.999994 0.999995 0.032831          
30 0.3 1.28 0.99999421 0.999993 0.999994 0.032831          
31 0.31 1.322667 0.99999319 0.999992 0.999993 0.032831          
32 0.32 1.365333 0.99999199 0.999991 0.999991 0.03283          
33 0.33 1.408 0.9999906 0.999989 0.99999 0.03283          
34 0.34 1.450667 0.99998898 0.999987 0.999988 0.03283          
35 0.35 1.493333 0.9999871 0.999985 0.999986 0.03283          
36 0.36 1.536 0.99998491 0.999982 0.999984 0.03283          
37 0.37 1.578667 0.99998237 0.999979 0.999981 0.03283          
38 0.38 1.621333 0.99997943 0.999976 0.999978 0.03283          
39 0.39 1.664 0.99997603 0.999972 0.999974 0.03283          
40 0.4 1.706667 0.9999721 0.999968 0.99997 0.03283          
41 0.41 1.749333 0.99996756 0.999962 0.999965 0.03283          
42 0.42 1.792 0.99996233 0.999956 0.999959 0.032829          
43 0.43 1.834667 0.99995632 0.999949 0.999953 0.032829          
44 0.44 1.877333 0.9999494 0.999941 0.999945 0.032829          
45 0.45 1.92 0.99994145 0.999932 0.999937 0.032829          
46 0.46 1.962667 0.99993234 0.999922 0.999927 0.032828          
47 0.47 2.005333 0.99992191 0.99991 0.999916 0.032828          
48 0.48 2.048 0.99990997 0.999896 0.999903 0.032828          
49 0.49 2.090667 0.99989634 0.999881 0.999889 0.032827          
50 0.5 2.133333 0.99988078 0.999863 0.999872 0.032827          
51 0.51 2.176 0.99986306 0.999843 0.999853 0.032826          
52 0.52 2.218667 0.99984288 0.99982 0.999831 0.032825          
53 0.53 2.261333 0.99981995 0.999794 0.999807 0.032824          
54 0.54 2.304 0.99979392 0.999764 0.999779 0.032824          
55 0.55 2.346667 0.9997644 0.999731 0.999748 0.032822          
56 0.56 2.389333 0.99973098 0.999693 0.999712 0.032821          
57 0.57 2.432 0.99969318 0.99965 0.999672 0.03282          
58 0.58 2.474667 0.99965048 0.999602 0.999626 0.032819          
59 0.59 2.517333 0.99960232 0.999548 0.999575 0.032817          
60 0.6 2.56 0.99954806 0.999487 0.999518 0.032815          
61 0.61 2.602667 0.999487 0.999418 0.999453 0.032813          
62 0.62 2.645333 0.99941839 0.999341 0.99938 0.03281          
63 0.63 2.688 0.99934137 0.999255 0.999298 0.032808          
64 0.64 2.730667 0.99925504 0.999158 0.999207 0.032805          
65 0.65 2.773333 0.99915839 0.99905 0.999104 0.032801          
66 0.66 2.816 0.99905032 0.99893 0.99899 0.032798          
67 0.67 2.858667 0.99892964 0.998795 0.998862 0.032793          
68 0.68 2.901333 0.99879504 0.998645 0.99872 0.032789          
69 0.69 2.944 0.9986451 0.998478 0.998562 0.032784          
70 0.7 2.986667 0.9984783 0.998293 0.998386 0.032778          
71 0.71 3.029333 0.99829296 0.998087 0.99819 0.032771          
72 0.72 3.072 0.9980873 0.997859 0.997973 0.032764          
73 0.73 3.114667 0.99785936 0.997607 0.997733 0.032756          
74 0.74 3.157333 0.99760706 0.997328 0.997468 0.032748          
75 0.75 3.2 0.99732814 0.99702 0.997174 0.032738          
76 0.76 3.242667 0.99702018 0.996681 0.99685 0.032727          
77 0.77 3.285333 0.9966806 0.996307 0.996494 0.032716          
78 0.78 3.328 0.99630661 0.995895 0.996101 0.032703          
79 0.79 3.370667 0.99589525 0.995443 0.995669 0.032689          
80 0.8 3.413333 0.99544336 0.994948 0.995195 0.032673          
81 0.81 3.456 0.99494757 0.994404 0.994676 0.032656          
82 0.82 3.498667 0.99440431 0.99381 0.994107 0.032637          
83 0.83 3.541333 0.99380977 0.99316 0.993485 0.032617          
84 0.84 3.584 0.99315994 0.992451 0.992805 0.032595          
85 0.85 3.626667 0.99245059 0.991677 0.992064 0.03257          
86 0.86 3.669333 0.99167723 0.990835 0.991256 0.032544          
87 0.87 3.712 0.99083514 0.989919 0.990377 0.032515          
88 0.88 3.754667 0.9899194 0.988925 0.989422 0.032483          
89 0.89 3.797333 0.9889248 0.987846 0.988385 0.032449          
90 0.9 3.84 0.98784592 0.986677 0.987262 0.032413          
91 0.91 3.882667 0.98667711 0.985412 0.986045 0.032373          
92 0.92 3.925333 0.98541245 0.984046 0.984729 0.032329          
93 0.93 3.968 0.98404583 0.982571 0.983308 0.032283          
94 0.94 4.010667 0.98257088 0.980981 0.981776 0.032232          
95 0.95 4.053333 0.98098104 0.97927 0.980125 0.032178          
96 0.96 4.096 0.97926951 0.977429 0.978349 0.03212          
97 0.97 4.138667 0.97742931 0.975453 0.976441 0.032057          
98 0.98 4.181333 0.97545326 0.973334 0.974394 0.03199          
99 0.99 4.224 0.97333403 0.971064 0.972199 0.031918          
100 1 4.266667 0.97106409 0.968636 0.96985 0.031841          
101 1.01 4.309333 0.96863582 0.966041 0.967339 0.031758          
102 1.02 4.352 0.96604144 0.963273 0.964657 0.03167          
103 1.03 4.394667 0.9632731 0.960323 0.961798 0.031577          
104 1.04 4.437333 0.96032285 0.957183 0.958753 0.031477          
105 1.05 4.48 0.95718273 0.953845 0.955514 0.03137          
106 1.06 4.522667 0.95384474 0.950301 0.952073 0.031257          
107 1.07 4.565333 0.95030088 0.946543 0.948422 0.031137          
108 1.08 4.608 0.94654321 0.942564 0.944554 0.03101          
109 1.09 4.650667 0.94256387 0.938355 0.940459 0.030876          
110 1.1 4.693333 0.93835511 0.933909 0.936132 0.030734          
111 1.11 4.736 0.93390932 0.929219 0.931564 0.030584          
112 1.12 4.778667 0.92921909 0.924277 0.926748 0.030426          
113 1.13 4.821333 0.92427722 0.919077 0.921677 0.030259          
114 1.14 4.864 0.9190768 0.913611 0.916344 0.030084          
115 1.15 4.906667 0.9136112 0.907874 0.910743 0.0299          
116 1.16 4.949333 0.90787417 0.90186 0.904867 0.029707          
117 1.17 4.992 0.90185984 0.895563 0.898711 0.029505          
118 1.18 5.034667 0.89556275 0.888978 0.89227 0.029294          
119 1.19 5.077333 0.88897796 0.882101 0.885539 0.029073          
120 1.2 5.12 0.88210101 0.874928 0.878515 0.028842          
121 1.21 5.162667 0.87492801 0.867456 0.871192 0.028602          
122 1.22 5.205333 0.86745567 0.859681 0.863569 0.028352          
123 1.23 5.248 0.85968133 0.851603 0.855642 0.028091          
124 1.24 5.290667 0.85160301 0.843219 0.847411 0.027821          
125 1.25 5.333333 0.84321941 0.83453 0.838875 0.027541          
126 1.26 5.376 0.83453 0.825535 0.830032 0.027251          
127 1.27 5.418667 0.825535 0.816235 0.820885 0.02695          
128 1.28 5.461333 0.81623541 0.806633 0.811434 0.02664          
129 1.29 5.504 0.80663308 0.796731 0.801682 0.02632          
130 1.3 5.546667 0.79673067 0.786532 0.791631 0.02599          
131 1.31 5.589333 0.7865317 0.776041 0.781286 0.02565          
132 1.32 5.632 0.77604056 0.765263 0.770652 0.025301          
133 1.33 5.674667 0.76526251 0.754204 0.759733 0.024943          
134 1.34 5.717333 0.75420371 0.742871 0.748537 0.024575          
135 1.35 5.76 0.74287115 0.731273 0.737072 0.024199          
136 1.36 5.802667 0.73127275 0.719417 0.725345 0.023814          
137 1.37 5.845333 0.71941726 0.707314 0.713366 0.02342          
138 1.38 5.888 0.70731429 0.694974 0.701144 0.023019          
139 1.39 5.930667 0.69497428 0.682408 0.688691 0.02261          
140 1.4 5.973333 0.68240849 0.669629 0.676019 0.022194          
141 1.41 6.016 0.66962895 0.656648 0.663139 0.021771          
142 1.42 6.058667 0.65664844 0.64348 0.650064 0.021342          
143 1.43 6.101333 0.64348047 0.630139 0.63681 0.020907          
144 1.44 6.144 0.6301392 0.616639 0.623389 0.020466          
145 1.45 6.186667 0.61663943 0.602997 0.609818 0.020021          
146 1.46 6.229333 0.60299653 0.589226 0.596111 0.019571          
147 1.47 6.272 0.5892264 0.575345 0.582286 0.019117          
148 1.48 6.314667 0.57534542 0.56137 0.568358 0.01866          
149 1.49 6.357333 0.56137036 0.547318 0.554344 0.0182          
150 1.5 6.4 0.54731835 0.533207 0.540263 0.017737          
151 1.51 6.442667 0.53320682 0.519053 0.52613 0.017273          
152 1.52 6.485333 0.51905339 0.504876 0.511965 0.016808          
153 1.53 6.528 0.50487587 0.490692 0.497784 0.016343          
154 1.54 6.570667 0.49069215 0.47652 0.483606 0.015877          
155 1.55 6.613333 0.47652023 0.462378 0.469449 0.015412          
156 1.56 6.656 0.46237799 0.448283 0.455331 0.014949          
157 1.57 6.698667 0.44828318 0.434253 0.441268 0.014487          
158 1.58 6.741333 0.43425336 0.420306 0.42728 0.014028          
159 1.59 6.784 0.42030587 0.406458 0.413382 0.013572          
160 1.6 6.826667 0.40645774 0.392726 0.399592 0.013119          
161 1.61 6.869333 0.39272564 0.379126 0.385926 0.01267          
162 1.62 6.912 0.37912578 0.365674 0.3724 0.012226          
163 1.63 6.954667 0.36567392 0.352385 0.35903 0.011787          
164 1.64 6.997333 0.35238524 0.339274 0.34583 0.011354          
165 1.65 7.04 0.33927436 0.326355 0.332815 0.010927          
166 1.66 7.082667 0.32635524 0.313641 0.319998 0.010506          
167 1.67 7.125333 0.31364116 0.301145 0.307393 0.010092          
168 1.68 7.168 0.30114467 0.288878 0.295011 0.009685          
169 1.69 7.210667 0.28887756 0.276851 0.282864 0.009287          
170 1.7 7.253333 0.27685085 0.265075 0.270963 0.008896          
171 1.71 7.296 0.2650747 0.253558 0.259317 0.008514          
172 1.72 7.338667 0.25355848 0.242311 0.247935 0.00814          
173 1.73 7.381333 0.24231066 0.231339 0.236825 0.007775          
174 1.74 7.424 0.23133888 0.22065 0.225994 0.00742          
175 1.75 7.466667 0.22064988 0.21025 0.21545 0.007073          
176 1.76 7.509333 0.21024952 0.200143 0.205196 0.006737          
177 1.77 7.552 0.20014279 0.190334 0.195238 0.00641          
178 1.78 7.594667 0.19033382 0.180826 0.18558 0.006093          
179 1.79 7.637333 0.18082585 0.171621 0.176224 0.005786          
180 1.8 7.68 0.17162128 0.162722 0.167171 0.005488          
181 1.81 7.722667 0.1627217 0.154128 0.158425 0.005201          
182 1.82 7.765333 0.15412787 0.14584 0.149984 0.004924          
183 1.83 7.808 0.14583977 0.137857 0.141848 0.004657          
184 1.84 7.850667 0.13785661 0.130177 0.134017 0.0044          
185 1.85 7.893333 0.13017689 0.122798 0.126488 0.004153          
186 1.86 7.936 0.12279841 0.115718 0.119258 0.003915          
187 1.87 7.978667 0.11571831 0.108933 0.112326 0.003688          
188 1.88 8.021333 0.10893311 0.102439 0.105686 0.00347          
189 1.89 8.064 0.10243873 0.096231 0.099335 0.003261          
190 1.9 8.106667 0.09623056 0.090303 0.093267 0.003062          
191 1.91 8.149333 0.09030349 0.084652 0.087478 0.002872          
192 1.92 8.192 0.08465193 0.07927 0.081961 0.002691          
193 1.93 8.234667 0.07926989 0.074151 0.07671 0.002518          
194 1.94 8.277333 0.07415099 0.069289 0.07172 0.002355          
195 1.95 8.32 0.06928852 0.064675 0.066982 0.002199          
196 1.96 8.362667 0.06467545 0.060305 0.06249 0.002052          
197 1.97 8.405333 0.06030454 0.056168 0.058236 0.001912          
198 1.98 8.448 0.0561683 0.052259 0.054214 0.00178          
199 1.99 8.490667 0.05225907 0.048569 0.050414 0.001655          
200 2 8.533333 0.04856907 0.04509 0.04683 0.001537          
201 2.01 8.576 0.0450904 0.041815 0.043453 0.001427          
202 2.02 8.618667 0.0418151 0.038735 0.040275 0.001322          
203 2.03 8.661333 0.03873517 0.035843 0.037289 0.001224          
204 2.04 8.704 0.03584263 0.033129 0.034486 0.001132          
205 2.05 8.746667 0.0331295 0.030588 0.031859 0.001046          
206 2.06 8.789333 0.03058787 0.02821 0.029399 0.000965          
207 2.07 8.832 0.0282099 0.025988 0.027099 0.00089          
208 2.08 8.874667 0.02598788 0.023914 0.024951 0.000819          
209 2.09 8.917333 0.02391419 0.021981 0.022948 0.000753          
210 2.1 8.96 0.02198138 0.020182 0.021082 0.000692          
211 2.11 9.002667 0.02018215 0.018509 0.019346 0.000635          
212 2.12 9.045333 0.01850939 0.016956 0.017733 0.000582          
213 2.13 9.088 0.01695617 0.015516 0.016236 0.000533          
214 2.14 9.130667 0.01551577 0.014182 0.014849 0.000487          
215 2.15 9.173333 0.01418168 0.012948 0.013565 0.000445          
216 2.16 9.216 0.01294763 0.011808 0.012378 0.000406          
217 2.17 9.258667 0.01180754 0.010756 0.011282 0.00037          
218 2.18 9.301333 0.0107556 0.009786 0.010271 0.000337          
219 2.19 9.344 0.00978621 0.008894 0.00934 0.000307          
220 2.2 9.386667 0.00889403 0.008074 0.008484 0.000279          
221 2.21 9.429333 0.00807394 0.007321 0.007698 0.000253          
222 2.22 9.472 0.00732108 0.006631 0.006976 0.000229          
223 2.23 9.514667 0.00663079 0.005999 0.006315 0.000207          
224 2.24 9.557333 0.00599869 0.005421 0.00571 0.000187          
225 2.25 9.6 0.0054206 0.004893 0.005157 0.000169          
226 2.26 9.642667 0.00489257 0.004411 0.004652 0.000153          
227 2.27 9.685333 0.00441087 0.003972 0.004191 0.000138          
228 2.28 9.728 0.003972 0.003573 0.003772 0.000124          
229 2.29 9.770667 0.00357265 0.00321 0.003391 0.000111          
230 2.3 9.813333 0.00320972 0.00288 0.003045 1E-04          
231 2.31 9.856 0.00288031 0.002582 0.002731 8.97E-05          
232 2.32 9.898667 0.0025817 0.002311 0.002447 8.03E-05          
233 2.33 9.941333 0.00231135 0.002067 0.002189 7.19E-05          
234 2.34 9.984 0.00206689 0.001846 0.001957 6.42E-05          
235 2.35 10.02667 0.00184613 0.001647 0.001747 5.73E-05          
236 2.36 10.06933 0.00164702 0.001468 0.001557 5.11E-05          
237 2.37 10.112 0.00146767 0.001306 0.001387 4.55E-05          
238 2.38 10.15467 0.00130631 0.001161 0.001234 4.05E-05          
239 2.39 10.19733 0.00116132 0.001031 0.001096 3.6E-05          
240 2.4 10.24 0.00103122 0.000915 0.000973 3.19E-05          
241 2.41 10.28267 0.00091461 0.00081 0.000862 2.83E-05          
242 2.42 10.32533 0.00081023 0.000717 0.000764 2.51E-05          
243 2.43 10.368 0.00071692 0.000634 0.000675 2.22E-05          
244 2.44 10.41067 0.0006336 0.000559 0.000596 1.96E-05          
245 2.45 10.45333 0.00055931 0.000493 0.000526 1.73E-05          
246 2.46 10.496 0.00049314 0.000434 0.000464 1.52E-05          
247 2.47 10.53867 0.00043429 0.000382 0.000408 1.34E-05          
248 2.48 10.58133 0.000382 0.000336 0.000359 1.18E-05          
249 2.49 10.624 0.00033561 0.000295 0.000315 1.03E-05          
250 2.5 10.66667 0.00029451 0.000258 0.000276 9.07E-06          
251 2.51 10.70933 0.00025813 0.000226 0.000242 7.95E-06          
252 2.52 10.752 0.00022598 0.000198 0.000212 6.95E-06          
253 2.53 10.79467 0.00019759 0.000173 0.000185 6.08E-06          
254 2.54 10.83733 0.00017257 0.000151 0.000162 5.3E-06          
255 2.55 10.88 0.00015053 0.000131 0.000141 4.62E-06          
256 2.56 10.92267 0.00013115 0.000114 0.000123 4.03E-06          
257 2.57 10.96533 0.00011413 9.92E-05 0.000107 3.5E-06          
258 2.58 11.008 9.9203E-05 8.61E-05 9.27E-05 3.04E-06          
259 2.59 11.05067 8.6123E-05 7.47E-05 8.04E-05 2.64E-06          
260 2.6 11.09333 7.4677E-05 6.47E-05 6.97E-05 2.29E-06          
261 2.61 11.136 6.4676E-05 5.59E-05 6.03E-05 1.98E-06          
262 2.62 11.17867 5.5946E-05 4.83E-05 5.21E-05 1.71E-06          
263 2.63 11.22133 4.8337E-05 4.17E-05 4.5E-05 1.48E-06          
264 2.64 11.264 4.1712E-05 3.6E-05 3.88E-05 1.27E-06          
265 2.65 11.30667 3.5952E-05 3.1E-05 3.35E-05 1.1E-06          
266 2.66 11.34933 3.0951E-05 2.66E-05 2.88E-05 9.45E-07          
267 2.67 11.392 2.6612E-05 2.29E-05 2.47E-05 8.12E-07          
268 2.68 11.43467 2.2855E-05 1.96E-05 2.12E-05 6.97E-07          
269 2.69 11.47733 1.9604E-05 1.68E-05 1.82E-05 5.98E-07          
270 2.7 11.52 1.6796E-05 1.44E-05 1.56E-05 5.12E-07          
271 2.71 11.56267 1.4372E-05 1.23E-05 1.33E-05 4.38E-07          
272 2.72 11.60533 1.2283E-05 1.05E-05 1.14E-05 3.74E-07          
273 2.73 11.648 1.0485E-05 8.94E-06 9.71E-06 3.19E-07          
274 2.74 11.69067 8.94E-06 7.61E-06 8.28E-06 2.72E-07          
275 2.75 11.73333 7.613E-06 6.48E-06 7.04E-06 2.31E-07          
276 2.76 11.776 6.4752E-06 5.5E-06 5.99E-06 1.97E-07          
277 2.77 11.81867 5.5008E-06 4.67E-06 5.08E-06 1.67E-07          
278 2.78 11.86133 4.6673E-06 3.96E-06 4.31E-06 1.42E-07          
279 2.79 11.904 3.9553E-06 3.35E-06 3.65E-06 1.2E-07          
280 2.8 11.94667 3.3479E-06 2.83E-06 3.09E-06 1.01E-07          
281 2.81 11.98933 2.8303E-06 2.39E-06 2.61E-06 8.57E-08          
282 2.82 12.032 2.3898E-06 2.02E-06 2.2E-06 7.23E-08          
283 2.83 12.07467 2.0155E-06 1.7E-06 1.86E-06 6.1E-08          
284 2.84 12.11733 1.6977E-06 1.43E-06 1.56E-06 5.13E-08          
285 2.85 12.16 1.4282E-06 1.2E-06 1.31E-06 4.31E-08          
286 2.86 12.20267 1.2001E-06 1.01E-06 1.1E-06 3.62E-08          
287 2.87 12.24533 1.0072E-06 8.44E-07 9.26E-07 3.04E-08          
288 2.88 12.288 8.4427E-07 7.07E-07 7.76E-07 2.55E-08          
289 2.89 12.33067 7.0683E-07 5.91E-07 6.49E-07 2.13E-08          
290 2.9 12.37333 5.9104E-07 4.94E-07 5.42E-07 1.78E-08          
291 2.91 12.416 4.9362E-07 4.12E-07 4.53E-07 1.49E-08          
292 2.92 12.45867 4.1175E-07 3.43E-07 3.77E-07 1.24E-08          
293 2.93 12.50133 3.4305E-07 2.85E-07 3.14E-07 1.03E-08          
294 2.94 12.544 2.8546E-07 2.37E-07 2.61E-07 8.58E-09          
295 2.95 12.58667 2.3724E-07 1.97E-07 2.17E-07 7.13E-09          
296 2.96 12.62933 1.9693E-07 1.63E-07 1.8E-07 5.91E-09          
297 2.97 12.672 1.6327E-07 1.35E-07 1.49E-07 4.9E-09          
298 2.98 12.71467 1.352E-07 1.12E-07 1.24E-07 4.05E-09          
299 2.99 12.75733 1.1181E-07 9.24E-08 1.02E-07 3.35E-09          
300 3 12.8 9.2363E-08 7.62E-08 8.43E-08 2.77E-09          
        SUM   14.85079          

 

FHWA-HRT-05-138

ResearchFHWA
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United States Department of Transportation - Federal Highway Administration