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Federal Highway Administration Research and Technology
Coordinating, Developing, and Delivering Highway Transportation Innovations

Report
This report is an archived publication and may contain dated technical, contact, and link information
Publication Number: FHWA-HRT-05-138
 Date: July 2006

Shared-Use Path Level of Service Calculator

Meetings Inline Skater

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)= 3.8391
Qo= 15.54 vph   Ko=   1.538614 veh/mile        
MU 10.10 mph   No=   5  veh        
SIGMA 2.70 mph   ALPHAO= 0.6499 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 8.18   PER HOUR= 34.89
        STANDARD DEVIATION= 2.86     1
        DETERMINISTIC  EQUATION= 8.26      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       4.615842          
1 0.01 0.042667 0.99990823 0.999902 0.999905 0.015385          
2 0.02 0.085333 0.99990229 0.999896 0.999899 0.015385          
3 0.03 0.128 0.99989599 0.999889 0.999893 0.015384          
4 0.04 0.170667 0.9998893 0.999882 0.999886 0.015384          
5 0.05 0.213333 0.99988222 0.999875 0.999878 0.015384          
6 0.06 0.256 0.99987471 0.999867 0.999871 0.015384          
7 0.07 0.298667 0.99986675 0.999858 0.999863 0.015384          
8 0.08 0.341333 0.99985832 0.999849 0.999854 0.015384          
9 0.09 0.384 0.9998494 0.99984 0.999845 0.015384          
10 0.1 0.426667 0.99983995 0.99983 0.999835 0.015384          
11 0.11 0.469333 0.99982994 0.999819 0.999825 0.015383          
12 0.12 0.512 0.99981936 0.999808 0.999814 0.015383          
13 0.13 0.554667 0.99980816 0.999796 0.999802 0.015383          
14 0.14 0.597333 0.99979631 0.999784 0.99979 0.015383          
15 0.15 0.64 0.99978378 0.999771 0.999777 0.015383          
16 0.16 0.682667 0.99977054 0.999757 0.999764 0.015383          
17 0.17 0.725333 0.99975654 0.999742 0.999749 0.015382          
18 0.18 0.768 0.99974175 0.999726 0.999734 0.015382          
19 0.19 0.810667 0.99972613 0.99971 0.999718 0.015382          
20 0.2 0.853333 0.99970962 0.999692 0.999701 0.015382          
21 0.21 0.896 0.9996922 0.999674 0.999683 0.015381          
22 0.22 0.938667 0.99967381 0.999654 0.999664 0.015381          
23 0.23 0.981333 0.9996544 0.999634 0.999644 0.015381          
24 0.24 1.024 0.99963392 0.999612 0.999623 0.01538          
25 0.25 1.066667 0.99961232 0.99959 0.999601 0.01538          
26 0.26 1.109333 0.99958954 0.999566 0.999578 0.01538          
27 0.27 1.152 0.99956552 0.99954 0.999553 0.015379          
28 0.28 1.194667 0.99954021 0.999514 0.999527 0.015379          
29 0.29 1.237333 0.99951353 0.999485 0.999499 0.015378          
30 0.3 1.28 0.99948543 0.999456 0.999471 0.015378          
31 0.31 1.322667 0.99945583 0.999425 0.99944 0.015378          
32 0.32 1.365333 0.99942466 0.999392 0.999408 0.015377          
33 0.33 1.408 0.99939186 0.999357 0.999375 0.015377          
34 0.34 1.450667 0.99935733 0.999321 0.999339 0.015376          
35 0.35 1.493333 0.99932099 0.999283 0.999302 0.015375          
36 0.36 1.536 0.99928278 0.999243 0.999263 0.015375          
37 0.37 1.578667 0.99924258 0.9992 0.999221 0.015374          
38 0.38 1.621333 0.99920032 0.999156 0.999178 0.015373          
39 0.39 1.664 0.99915591 0.999109 0.999133 0.015373          
40 0.4 1.706667 0.99910923 0.99906 0.999085 0.015372          
41 0.41 1.749333 0.99906019 0.999009 0.999034 0.015371          
42 0.42 1.792 0.99900868 0.998955 0.998982 0.01537          
43 0.43 1.834667 0.99895458 0.998898 0.998926 0.01537          
44 0.44 1.877333 0.9988978 0.998838 0.998868 0.015369          
45 0.45 1.92 0.9988382 0.998776 0.998807 0.015368          
46 0.46 1.962667 0.99877566 0.99871 0.998743 0.015367          
47 0.47 2.005333 0.99871006 0.998641 0.998676 0.015366          
48 0.48 2.048 0.99864125 0.998569 0.998605 0.015365          
49 0.49 2.090667 0.99856911 0.998493 0.998531 0.015364          
50 0.5 2.133333 0.99849349 0.998414 0.998454 0.015362          
51 0.51 2.176 0.99841423 0.998331 0.998373 0.015361          
52 0.52 2.218667 0.9983312 0.998244 0.998288 0.01536          
53 0.53 2.261333 0.99824422 0.998153 0.998199 0.015358          
54 0.54 2.304 0.99815314 0.998058 0.998105 0.015357          
55 0.55 2.346667 0.99805778 0.997958 0.998008 0.015355          
56 0.56 2.389333 0.99795797 0.997854 0.997906 0.015354          
57 0.57 2.432 0.99785352 0.997744 0.997799 0.015352          
58 0.58 2.474667 0.99774426 0.99763 0.997687 0.015351          
59 0.59 2.517333 0.99762998 0.99751 0.99757 0.015349          
60 0.6 2.56 0.99751048 0.997386 0.997448 0.015347          
61 0.61 2.602667 0.99738557 0.997255 0.99732 0.015345          
62 0.62 2.645333 0.99725501 0.997119 0.997187 0.015343          
63 0.63 2.688 0.9971186 0.996976 0.997047 0.015341          
64 0.64 2.730667 0.99697611 0.996827 0.996902 0.015338          
65 0.65 2.773333 0.9968273 0.996672 0.99675 0.015336          
66 0.66 2.816 0.99667193 0.99651 0.996591 0.015334          
67 0.67 2.858667 0.99650975 0.996341 0.996425 0.015331          
68 0.68 2.901333 0.99634051 0.996164 0.996252 0.015328          
69 0.69 2.944 0.99616394 0.99598 0.996072 0.015326          
70 0.7 2.986667 0.99597978 0.995788 0.995884 0.015323          
71 0.71 3.029333 0.99578774 0.995588 0.995688 0.01532          
72 0.72 3.072 0.99558753 0.995379 0.995483 0.015317          
73 0.73 3.114667 0.99537887 0.995161 0.99527 0.015313          
74 0.74 3.157333 0.99516144 0.994935 0.995048 0.01531          
75 0.75 3.2 0.99493494 0.994699 0.994817 0.015306          
76 0.76 3.242667 0.99469905 0.994453 0.994576 0.015303          
77 0.77 3.285333 0.99445344 0.994198 0.994326 0.015299          
78 0.78 3.328 0.99419777 0.993932 0.994065 0.015295          
79 0.79 3.370667 0.9939317 0.993655 0.993793 0.015291          
80 0.8 3.413333 0.99365486 0.993367 0.993511 0.015286          
81 0.81 3.456 0.99336691 0.993067 0.993217 0.015282          
82 0.82 3.498667 0.99306747 0.992756 0.992912 0.015277          
83 0.83 3.541333 0.99275615 0.992433 0.992594 0.015272          
84 0.84 3.584 0.99243257 0.992096 0.992264 0.015267          
85 0.85 3.626667 0.99209633 0.991747 0.991922 0.015262          
86 0.86 3.669333 0.99174701 0.991384 0.991566 0.015256          
87 0.87 3.712 0.99138421 0.991007 0.991196 0.015251          
88 0.88 3.754667 0.99100749 0.990616 0.990812 0.015245          
89 0.89 3.797333 0.99061643 0.990211 0.990413 0.015239          
90 0.9 3.84 0.99021056 0.989789 0.99 0.015232          
91 0.91 3.882667 0.98978945 0.989353 0.989571 0.015226          
92 0.92 3.925333 0.98935262 0.9889 0.989126 0.015219          
93 0.93 3.968 0.9888996 0.98843 0.988665 0.015212          
94 0.94 4.010667 0.98842991 0.987943 0.988186 0.015204          
95 0.95 4.053333 0.98794306 0.987439 0.987691 0.015197          
96 0.96 4.096 0.98743854 0.986916 0.987177 0.015189          
97 0.97 4.138667 0.98691585 0.986374 0.986645 0.015181          
98 0.98 4.181333 0.98637447 0.985814 0.986094 0.015172          
99 0.99 4.224 0.98581386 0.985233 0.985524 0.015163          
100 1 4.266667 0.9852335 0.984633 0.984933 0.015154          
101 1.01 4.309333 0.98463282 0.984011 0.984322 0.015145          
102 1.02 4.352 0.98401129 0.983368 0.98369 0.015135          
103 1.03 4.394667 0.98336833 0.982703 0.983036 0.015125          
104 1.04 4.437333 0.98270338 0.982016 0.98236 0.015115          
105 1.05 4.48 0.98201584 0.981305 0.98166 0.015104          
106 1.06 4.522667 0.98130514 0.980571 0.980938 0.015093          
107 1.07 4.565333 0.98057067 0.979812 0.980191 0.015081          
108 1.08 4.608 0.97981183 0.979028 0.97942 0.015069          
109 1.09 4.650667 0.979028 0.978219 0.978623 0.015057          
110 1.1 4.693333 0.97821858 0.977383 0.977801 0.015045          
111 1.11 4.736 0.97738292 0.97652 0.976952 0.015032          
112 1.12 4.778667 0.9765204 0.97563 0.976075 0.015018          
113 1.13 4.821333 0.97563036 0.974712 0.975171 0.015004          
114 1.14 4.864 0.97471218 0.973765 0.974239 0.01499          
115 1.15 4.906667 0.97376518 0.972789 0.973277 0.014975          
116 1.16 4.949333 0.97278871 0.971782 0.972285 0.01496          
117 1.17 4.992 0.97178211 0.970745 0.971263 0.014944          
118 1.18 5.034667 0.97074471 0.969676 0.97021 0.014928          
119 1.19 5.077333 0.96967582 0.968575 0.969125 0.014911          
120 1.2 5.12 0.96857476 0.967441 0.968008 0.014894          
121 1.21 5.162667 0.96744086 0.966273 0.966857 0.014876          
122 1.22 5.205333 0.96627343 0.965072 0.965673 0.014858          
123 1.23 5.248 0.96507177 0.963835 0.964453 0.014839          
124 1.24 5.290667 0.96383518 0.962563 0.963199 0.01482          
125 1.25 5.333333 0.96256298 0.961254 0.961909 0.0148          
126 1.26 5.376 0.96125446 0.959909 0.960582 0.01478          
127 1.27 5.418667 0.95990892 0.958526 0.959217 0.014759          
128 1.28 5.461333 0.95852566 0.957104 0.957815 0.014737          
129 1.29 5.504 0.95710398 0.955643 0.956374 0.014715          
130 1.3 5.546667 0.95564317 0.954143 0.954893 0.014692          
131 1.31 5.589333 0.95414254 0.952601 0.953372 0.014669          
132 1.32 5.632 0.95260137 0.951019 0.95181 0.014645          
133 1.33 5.674667 0.95101898 0.949395 0.950207 0.01462          
134 1.34 5.717333 0.94939467 0.947728 0.948561 0.014595          
135 1.35 5.76 0.94772774 0.946017 0.946873 0.014569          
136 1.36 5.802667 0.94601749 0.944263 0.94514 0.014542          
137 1.37 5.845333 0.94426325 0.942464 0.943364 0.014515          
138 1.38 5.888 0.94246433 0.94062 0.941542 0.014487          
139 1.39 5.930667 0.94062005 0.93873 0.939675 0.014458          
140 1.4 5.973333 0.93872974 0.936793 0.937761 0.014429          
141 1.41 6.016 0.93679274 0.934808 0.935801 0.014398          
142 1.42 6.058667 0.93480839 0.932776 0.933792 0.014367          
143 1.43 6.101333 0.93277603 0.930695 0.931736 0.014336          
144 1.44 6.144 0.93069504 0.928565 0.92963 0.014303          
145 1.45 6.186667 0.92856476 0.926385 0.927475 0.01427          
146 1.46 6.229333 0.92638459 0.924154 0.925269 0.014236          
147 1.47 6.272 0.92415391 0.921872 0.923013 0.014202          
148 1.48 6.314667 0.92187212 0.919539 0.920705 0.014166          
149 1.49 6.357333 0.91953864 0.917153 0.918346 0.01413          
150 1.5 6.4 0.91715288 0.914714 0.915934 0.014093          
151 1.51 6.442667 0.91471428 0.912222 0.913468 0.014055          
152 1.52 6.485333 0.91222231 0.909676 0.910949 0.014016          
153 1.53 6.528 0.90967641 0.907076 0.908376 0.013976          
154 1.54 6.570667 0.90707609 0.904421 0.905748 0.013936          
155 1.55 6.613333 0.90442083 0.90171 0.903065 0.013895          
156 1.56 6.656 0.90171016 0.898944 0.900327 0.013853          
157 1.57 6.698667 0.8989436 0.896121 0.897532 0.01381          
158 1.58 6.741333 0.89612071 0.893241 0.894681 0.013766          
159 1.59 6.784 0.89324107 0.890304 0.891773 0.013721          
160 1.6 6.826667 0.89030426 0.88731 0.888807 0.013675          
161 1.61 6.869333 0.88730989 0.884258 0.885784 0.013629          
162 1.62 6.912 0.88425762 0.881147 0.882702 0.013581          
163 1.63 6.954667 0.88114708 0.877978 0.879563 0.013533          
164 1.64 6.997333 0.87797795 0.87475 0.876364 0.013484          
165 1.65 7.04 0.87474995 0.871463 0.873106 0.013434          
166 1.66 7.082667 0.8714628 0.868116 0.86979 0.013383          
167 1.67 7.125333 0.86811625 0.86471 0.866413 0.013331          
168 1.68 7.168 0.86471007 0.861244 0.862977 0.013278          
169 1.69 7.210667 0.86124408 0.857718 0.859481 0.013224          
170 1.7 7.253333 0.8577181 0.854132 0.855925 0.013169          
171 1.71 7.296 0.85413198 0.850486 0.852309 0.013114          
172 1.72 7.338667 0.85048562 0.846779 0.848632 0.013057          
173 1.73 7.381333 0.84677893 0.843012 0.844895 0.013          
174 1.74 7.424 0.84301184 0.839184 0.841098 0.012941          
175 1.75 7.466667 0.83918433 0.835296 0.83724 0.012882          
176 1.76 7.509333 0.83529641 0.831348 0.833322 0.012822          
177 1.77 7.552 0.8313481 0.827339 0.829344 0.01276          
178 1.78 7.594667 0.82733948 0.823271 0.825305 0.012698          
179 1.79 7.637333 0.82327062 0.819142 0.821206 0.012635          
180 1.8 7.68 0.81914166 0.814953 0.817047 0.012571          
181 1.81 7.722667 0.81495277 0.810704 0.812828 0.012506          
182 1.82 7.765333 0.81070412 0.806396 0.80855 0.01244          
183 1.83 7.808 0.80639594 0.802028 0.804212 0.012374          
184 1.84 7.850667 0.80202849 0.797602 0.799815 0.012306          
185 1.85 7.893333 0.79760206 0.793117 0.79536 0.012238          
186 1.86 7.936 0.79311697 0.788574 0.790845 0.012168          
187 1.87 7.978667 0.78857358 0.783972 0.786273 0.012098          
188 1.88 8.021333 0.78397229 0.779314 0.781643 0.012026          
189 1.89 8.064 0.77931351 0.774598 0.776956 0.011954          
190 1.9 8.106667 0.7745977 0.769825 0.772212 0.011881          
191 1.91 8.149333 0.76982536 0.764997 0.767411 0.011807          
192 1.92 8.192 0.76499703 0.760113 0.762555 0.011733          
193 1.93 8.234667 0.76011325 0.755175 0.757644 0.011657          
194 1.94 8.277333 0.75517463 0.750182 0.752678 0.011581          
195 1.95 8.32 0.7501818 0.745135 0.747659 0.011504          
196 1.96 8.362667 0.74513542 0.740036 0.742586 0.011426          
197 1.97 8.405333 0.74003619 0.734885 0.737461 0.011347          
198 1.98 8.448 0.73488485 0.729682 0.732284 0.011267          
199 1.99 8.490667 0.72968217 0.724429 0.727056 0.011187          
200 2 8.533333 0.72442893 0.719126 0.721777 0.011105          
201 2.01 8.576 0.71912598 0.713774 0.71645 0.011023          
202 2.02 8.618667 0.71377419 0.708374 0.711074 0.010941          
203 2.03 8.661333 0.70837444 0.702928 0.705651 0.010857          
204 2.04 8.704 0.70292768 0.697435 0.700181 0.010773          
205 2.05 8.746667 0.69743486 0.691897 0.694666 0.010688          
206 2.06 8.789333 0.69189698 0.686315 0.689106 0.010603          
207 2.07 8.832 0.68631506 0.68069 0.683503 0.010516          
208 2.08 8.874667 0.68069016 0.675023 0.677857 0.01043          
209 2.09 8.917333 0.67502336 0.669316 0.67217 0.010342          
210 2.1 8.96 0.66931578 0.663569 0.666442 0.010254          
211 2.11 9.002667 0.66356855 0.657783 0.660676 0.010165          
212 2.12 9.045333 0.65778285 0.65196 0.654871 0.010076          
213 2.13 9.088 0.65195988 0.646101 0.64903 0.009986          
214 2.14 9.130667 0.64610085 0.640207 0.643154 0.009896          
215 2.15 9.173333 0.64020701 0.63428 0.637243 0.009805          
216 2.16 9.216 0.63427965 0.62832 0.6313 0.009713          
217 2.17 9.258667 0.62832005 0.62233 0.625325 0.009621          
218 2.18 9.301333 0.62232954 0.616309 0.61932 0.009529          
219 2.19 9.344 0.61630947 0.610261 0.613285 0.009436          
220 2.2 9.386667 0.61026119 0.604186 0.607224 0.009343          
221 2.21 9.429333 0.60418609 0.598086 0.601136 0.009249          
222 2.22 9.472 0.59808557 0.591961 0.595023 0.009155          
223 2.23 9.514667 0.59196107 0.585814 0.588888 0.009061          
224 2.24 9.557333 0.58581401 0.579646 0.58273 0.008966          
225 2.25 9.6 0.57964586 0.573458 0.576552 0.008871          
226 2.26 9.642667 0.57345809 0.567252 0.570355 0.008776          
227 2.27 9.685333 0.56725219 0.56103 0.564141 0.00868          
228 2.28 9.728 0.56102966 0.554792 0.557911 0.008584          
229 2.29 9.770667 0.55479201 0.548541 0.551666 0.008488          
230 2.3 9.813333 0.54854076 0.542277 0.545409 0.008392          
231 2.31 9.856 0.54227744 0.536004 0.539141 0.008295          
232 2.32 9.898667 0.53600361 0.529721 0.532862 0.008199          
233 2.33 9.941333 0.52972081 0.523431 0.526576 0.008102          
234 2.34 9.984 0.5234306 0.517135 0.520283 0.008005          
235 2.35 10.02667 0.51713454 0.510834 0.513984 0.007908          
236 2.36 10.06933 0.51083419 0.504531 0.507683 0.007811          
237 2.37 10.112 0.50453112 0.498227 0.501379 0.007714          
238 2.38 10.15467 0.49822692 0.491923 0.495075 0.007617          
239 2.39 10.19733 0.49192316 0.485621 0.488772 0.00752          
240 2.4 10.24 0.48562143 0.479323 0.482472 0.007423          
241 2.41 10.28267 0.4793233 0.47303 0.476177 0.007327          
242 2.42 10.32533 0.47303034 0.466744 0.469887 0.00723          
243 2.43 10.368 0.4667441 0.460466 0.463605 0.007133          
244 2.44 10.41067 0.46046615 0.454198 0.457332 0.007037          
245 2.45 10.45333 0.45419805 0.447941 0.45107 0.00694          
246 2.46 10.496 0.44794133 0.441698 0.444819 0.006844          
247 2.47 10.53867 0.44169754 0.435468 0.438583 0.006748          
248 2.48 10.58133 0.43546821 0.429255 0.432362 0.006652          
249 2.49 10.624 0.42925484 0.423059 0.426157 0.006557          
250 2.5 10.66667 0.42305896 0.416882 0.419971 0.006462          
251 2.51 10.70933 0.41688204 0.410726 0.413804 0.006367          
252 2.52 10.752 0.41072558 0.404591 0.407658 0.006272          
253 2.53 10.79467 0.40459103 0.39848 0.401535 0.006178          
254 2.54 10.83733 0.39847985 0.392393 0.395437 0.006084          
255 2.55 10.88 0.39239345 0.386333 0.389363 0.005991          
256 2.56 10.92267 0.38633327 0.380301 0.383317 0.005898          
257 2.57 10.96533 0.38030068 0.374297 0.377299 0.005805          
258 2.58 11.008 0.37429707 0.368324 0.37131 0.005713          
259 2.59 11.05067 0.36832378 0.362382 0.365353 0.005621          
260 2.6 11.09333 0.36238216 0.356473 0.359428 0.00553          
261 2.61 11.136 0.3564735 0.350599 0.353536 0.00544          
262 2.62 11.17867 0.35059909 0.34476 0.34768 0.005349          
263 2.63 11.22133 0.34476018 0.338958 0.341859 0.00526          
264 2.64 11.264 0.33895803 0.333194 0.336076 0.005171          
265 2.65 11.30667 0.33319382 0.327469 0.330331 0.005083          
266 2.66 11.34933 0.32746875 0.321784 0.324626 0.004995          
267 2.67 11.392 0.32178397 0.316141 0.318962 0.004908          
268 2.68 11.43467 0.3161406 0.31054 0.31334 0.004821          
269 2.69 11.47733 0.31053975 0.304982 0.307761 0.004735          
270 2.7 11.52 0.30498247 0.29947 0.302226 0.00465          
271 2.71 11.56267 0.29946982 0.294003 0.296736 0.004566          
272 2.72 11.60533 0.29400279 0.288582 0.291293 0.004482          
273 2.73 11.648 0.28858235 0.283209 0.285896 0.004399          
274 2.74 11.69067 0.28320947 0.277885 0.280547 0.004317          
275 2.75 11.73333 0.27788504 0.27261 0.275247 0.004235          
276 2.76 11.776 0.27260995 0.267385 0.269998 0.004154          
277 2.77 11.81867 0.26738505 0.262211 0.264798 0.004074          
278 2.78 11.86133 0.26221115 0.257089 0.25965 0.003995          
279 2.79 11.904 0.25708903 0.252019 0.254554 0.003917          
280 2.8 11.94667 0.25201944 0.247003 0.249511 0.003839          
281 2.81 11.98933 0.2470031 0.242041 0.244522 0.003762          
282 2.82 12.032 0.24204068 0.237133 0.239587 0.003686          
283 2.83 12.07467 0.23713284 0.23228 0.234707 0.003611          
284 2.84 12.11733 0.23228017 0.227483 0.229882 0.003537          
285 2.85 12.16 0.22748327 0.222743 0.225113 0.003464          
286 2.86 12.20267 0.22274267 0.218059 0.220401 0.003391          
287 2.87 12.24533 0.21805888 0.213432 0.215746 0.003319          
288 2.88 12.288 0.21343238 0.208864 0.211148 0.003249          
289 2.89 12.33067 0.20886361 0.204353 0.206608 0.003179          
290 2.9 12.37333 0.20435297 0.199901 0.202127 0.00311          
291 2.91 12.416 0.19990083 0.195508 0.197704 0.003042          
292 2.92 12.45867 0.19550754 0.191173 0.19334 0.002975          
293 2.93 12.50133 0.1911734 0.186899 0.189036 0.002909          
294 2.94 12.544 0.18689868 0.182684 0.184791 0.002843          
295 2.95 12.58667 0.18268361 0.178528 0.180606 0.002779          
296 2.96 12.62933 0.17852841 0.174433 0.176481 0.002715          
297 2.97 12.672 0.17443324 0.170398 0.172416 0.002653          
298 2.98 12.71467 0.17039825 0.166424 0.168411 0.002591          
299 2.99 12.75733 0.16642355 0.162509 0.164466 0.002531          
300 3 12.8 0.1625092 0.158655 0.160582 0.002471          
        SUM   8.176925          

 

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)= 3.8391
Qo= 14.70 vph   Ko=   1.455446 veh/mile        
MU 10.10 mph   No=   4  veh        
SIGMA 2.70 mph   ALPHAO= 0.6871 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 7.73   PER HOUR= 33.00
        STANDARD DEVIATION= 2.78     2
        DETERMINISTIC  EQUATION= 7.81      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       4.366337          
1 0.01 0.042667 0.99990823 0.999902 0.999905 0.014553          
2 0.02 0.085333 0.99990229 0.999896 0.999899 0.014553          
3 0.03 0.128 0.99989599 0.999889 0.999893 0.014553          
4 0.04 0.170667 0.9998893 0.999882 0.999886 0.014553          
5 0.05 0.213333 0.99988222 0.999875 0.999878 0.014553          
6 0.06 0.256 0.99987471 0.999867 0.999871 0.014553          
7 0.07 0.298667 0.99986675 0.999858 0.999863 0.014552          
8 0.08 0.341333 0.99985832 0.999849 0.999854 0.014552          
9 0.09 0.384 0.9998494 0.99984 0.999845 0.014552          
10 0.1 0.426667 0.99983995 0.99983 0.999835 0.014552          
11 0.11 0.469333 0.99982994 0.999819 0.999825 0.014552          
12 0.12 0.512 0.99981936 0.999808 0.999814 0.014552          
13 0.13 0.554667 0.99980816 0.999796 0.999802 0.014552          
14 0.14 0.597333 0.99979631 0.999784 0.99979 0.014551          
15 0.15 0.64 0.99978378 0.999771 0.999777 0.014551          
16 0.16 0.682667 0.99977054 0.999757 0.999764 0.014551          
17 0.17 0.725333 0.99975654 0.999742 0.999749 0.014551          
18 0.18 0.768 0.99974175 0.999726 0.999734 0.014551          
19 0.19 0.810667 0.99972613 0.99971 0.999718 0.01455          
20 0.2 0.853333 0.99970962 0.999692 0.999701 0.01455          
21 0.21 0.896 0.9996922 0.999674 0.999683 0.01455          
22 0.22 0.938667 0.99967381 0.999654 0.999664 0.01455          
23 0.23 0.981333 0.9996544 0.999634 0.999644 0.014549          
24 0.24 1.024 0.99963392 0.999612 0.999623 0.014549          
25 0.25 1.066667 0.99961232 0.99959 0.999601 0.014549          
26 0.26 1.109333 0.99958954 0.999566 0.999578 0.014548          
27 0.27 1.152 0.99956552 0.99954 0.999553 0.014548          
28 0.28 1.194667 0.99954021 0.999514 0.999527 0.014548          
29 0.29 1.237333 0.99951353 0.999485 0.999499 0.014547          
30 0.3 1.28 0.99948543 0.999456 0.999471 0.014547          
31 0.31 1.322667 0.99945583 0.999425 0.99944 0.014546          
32 0.32 1.365333 0.99942466 0.999392 0.999408 0.014546          
33 0.33 1.408 0.99939186 0.999357 0.999375 0.014545          
34 0.34 1.450667 0.99935733 0.999321 0.999339 0.014545          
35 0.35 1.493333 0.99932099 0.999283 0.999302 0.014544          
36 0.36 1.536 0.99928278 0.999243 0.999263 0.014544          
37 0.37 1.578667 0.99924258 0.9992 0.999221 0.014543          
38 0.38 1.621333 0.99920032 0.999156 0.999178 0.014542          
39 0.39 1.664 0.99915591 0.999109 0.999133 0.014542          
40 0.4 1.706667 0.99910923 0.99906 0.999085 0.014541          
41 0.41 1.749333 0.99906019 0.999009 0.999034 0.01454          
42 0.42 1.792 0.99900868 0.998955 0.998982 0.01454          
43 0.43 1.834667 0.99895458 0.998898 0.998926 0.014539          
44 0.44 1.877333 0.9988978 0.998838 0.998868 0.014538          
45 0.45 1.92 0.9988382 0.998776 0.998807 0.014537          
46 0.46 1.962667 0.99877566 0.99871 0.998743 0.014536          
47 0.47 2.005333 0.99871006 0.998641 0.998676 0.014535          
48 0.48 2.048 0.99864125 0.998569 0.998605 0.014534          
49 0.49 2.090667 0.99856911 0.998493 0.998531 0.014533          
50 0.5 2.133333 0.99849349 0.998414 0.998454 0.014532          
51 0.51 2.176 0.99841423 0.998331 0.998373 0.014531          
52 0.52 2.218667 0.9983312 0.998244 0.998288 0.01453          
53 0.53 2.261333 0.99824422 0.998153 0.998199 0.014528          
54 0.54 2.304 0.99815314 0.998058 0.998105 0.014527          
55 0.55 2.346667 0.99805778 0.997958 0.998008 0.014525          
56 0.56 2.389333 0.99795797 0.997854 0.997906 0.014524          
57 0.57 2.432 0.99785352 0.997744 0.997799 0.014522          
58 0.58 2.474667 0.99774426 0.99763 0.997687 0.014521          
59 0.59 2.517333 0.99762998 0.99751 0.99757 0.014519          
60 0.6 2.56 0.99751048 0.997386 0.997448 0.014517          
61 0.61 2.602667 0.99738557 0.997255 0.99732 0.014515          
62 0.62 2.645333 0.99725501 0.997119 0.997187 0.014514          
63 0.63 2.688 0.9971186 0.996976 0.997047 0.014511          
64 0.64 2.730667 0.99697611 0.996827 0.996902 0.014509          
65 0.65 2.773333 0.9968273 0.996672 0.99675 0.014507          
66 0.66 2.816 0.99667193 0.99651 0.996591 0.014505          
67 0.67 2.858667 0.99650975 0.996341 0.996425 0.014502          
68 0.68 2.901333 0.99634051 0.996164 0.996252 0.0145          
69 0.69 2.944 0.99616394 0.99598 0.996072 0.014497          
70 0.7 2.986667 0.99597978 0.995788 0.995884 0.014495          
71 0.71 3.029333 0.99578774 0.995588 0.995688 0.014492          
72 0.72 3.072 0.99558753 0.995379 0.995483 0.014489          
73 0.73 3.114667 0.99537887 0.995161 0.99527 0.014486          
74 0.74 3.157333 0.99516144 0.994935 0.995048 0.014482          
75 0.75 3.2 0.99493494 0.994699 0.994817 0.014479          
76 0.76 3.242667 0.99469905 0.994453 0.994576 0.014476          
77 0.77 3.285333 0.99445344 0.994198 0.994326 0.014472          
78 0.78 3.328 0.99419777 0.993932 0.994065 0.014468          
79 0.79 3.370667 0.9939317 0.993655 0.993793 0.014464          
80 0.8 3.413333 0.99365486 0.993367 0.993511 0.01446          
81 0.81 3.456 0.99336691 0.993067 0.993217 0.014456          
82 0.82 3.498667 0.99306747 0.992756 0.992912 0.014451          
83 0.83 3.541333 0.99275615 0.992433 0.992594 0.014447          
84 0.84 3.584 0.99243257 0.992096 0.992264 0.014442          
85 0.85 3.626667 0.99209633 0.991747 0.991922 0.014437          
86 0.86 3.669333 0.99174701 0.991384 0.991566 0.014432          
87 0.87 3.712 0.99138421 0.991007 0.991196 0.014426          
88 0.88 3.754667 0.99100749 0.990616 0.990812 0.014421          
89 0.89 3.797333 0.99061643 0.990211 0.990413 0.014415          
90 0.9 3.84 0.99021056 0.989789 0.99 0.014409          
91 0.91 3.882667 0.98978945 0.989353 0.989571 0.014403          
92 0.92 3.925333 0.98935262 0.9889 0.989126 0.014396          
93 0.93 3.968 0.9888996 0.98843 0.988665 0.014389          
94 0.94 4.010667 0.98842991 0.987943 0.988186 0.014383          
95 0.95 4.053333 0.98794306 0.987439 0.987691 0.014375          
96 0.96 4.096 0.98743854 0.986916 0.987177 0.014368          
97 0.97 4.138667 0.98691585 0.986374 0.986645 0.01436          
98 0.98 4.181333 0.98637447 0.985814 0.986094 0.014352          
99 0.99 4.224 0.98581386 0.985233 0.985524 0.014344          
100 1 4.266667 0.9852335 0.984633 0.984933 0.014335          
101 1.01 4.309333 0.98463282 0.984011 0.984322 0.014326          
102 1.02 4.352 0.98401129 0.983368 0.98369 0.014317          
103 1.03 4.394667 0.98336833 0.982703 0.983036 0.014308          
104 1.04 4.437333 0.98270338 0.982016 0.98236 0.014298          
105 1.05 4.48 0.98201584 0.981305 0.98166 0.014288          
106 1.06 4.522667 0.98130514 0.980571 0.980938 0.014277          
107 1.07 4.565333 0.98057067 0.979812 0.980191 0.014266          
108 1.08 4.608 0.97981183 0.979028 0.97942 0.014255          
109 1.09 4.650667 0.979028 0.978219 0.978623 0.014243          
110 1.1 4.693333 0.97821858 0.977383 0.977801 0.014231          
111 1.11 4.736 0.97738292 0.97652 0.976952 0.014219          
112 1.12 4.778667 0.9765204 0.97563 0.976075 0.014206          
113 1.13 4.821333 0.97563036 0.974712 0.975171 0.014193          
114 1.14 4.864 0.97471218 0.973765 0.974239 0.01418          
115 1.15 4.906667 0.97376518 0.972789 0.973277 0.014166          
116 1.16 4.949333 0.97278871 0.971782 0.972285 0.014151          
117 1.17 4.992 0.97178211 0.970745 0.971263 0.014136          
118 1.18 5.034667 0.97074471 0.969676 0.97021 0.014121          
119 1.19 5.077333 0.96967582 0.968575 0.969125 0.014105          
120 1.2 5.12 0.96857476 0.967441 0.968008 0.014089          
121 1.21 5.162667 0.96744086 0.966273 0.966857 0.014072          
122 1.22 5.205333 0.96627343 0.965072 0.965673 0.014055          
123 1.23 5.248 0.96507177 0.963835 0.964453 0.014037          
124 1.24 5.290667 0.96383518 0.962563 0.963199 0.014019          
125 1.25 5.333333 0.96256298 0.961254 0.961909 0.014          
126 1.26 5.376 0.96125446 0.959909 0.960582 0.013981          
127 1.27 5.418667 0.95990892 0.958526 0.959217 0.013961          
128 1.28 5.461333 0.95852566 0.957104 0.957815 0.01394          
129 1.29 5.504 0.95710398 0.955643 0.956374 0.013919          
130 1.3 5.546667 0.95564317 0.954143 0.954893 0.013898          
131 1.31 5.589333 0.95414254 0.952601 0.953372 0.013876          
132 1.32 5.632 0.95260137 0.951019 0.95181 0.013853          
133 1.33 5.674667 0.95101898 0.949395 0.950207 0.01383          
134 1.34 5.717333 0.94939467 0.947728 0.948561 0.013806          
135 1.35 5.76 0.94772774 0.946017 0.946873 0.013781          
136 1.36 5.802667 0.94601749 0.944263 0.94514 0.013756          
137 1.37 5.845333 0.94426325 0.942464 0.943364 0.01373          
138 1.38 5.888 0.94246433 0.94062 0.941542 0.013704          
139 1.39 5.930667 0.94062005 0.93873 0.939675 0.013676          
140 1.4 5.973333 0.93872974 0.936793 0.937761 0.013649          
141 1.41 6.016 0.93679274 0.934808 0.935801 0.01362          
142 1.42 6.058667 0.93480839 0.932776 0.933792 0.013591          
143 1.43 6.101333 0.93277603 0.930695 0.931736 0.013561          
144 1.44 6.144 0.93069504 0.928565 0.92963 0.01353          
145 1.45 6.186667 0.92856476 0.926385 0.927475 0.013499          
146 1.46 6.229333 0.92638459 0.924154 0.925269 0.013467          
147 1.47 6.272 0.92415391 0.921872 0.923013 0.013434          
148 1.48 6.314667 0.92187212 0.919539 0.920705 0.0134          
149 1.49 6.357333 0.91953864 0.917153 0.918346 0.013366          
150 1.5 6.4 0.91715288 0.914714 0.915934 0.013331          
151 1.51 6.442667 0.91471428 0.912222 0.913468 0.013295          
152 1.52 6.485333 0.91222231 0.909676 0.910949 0.013258          
153 1.53 6.528 0.90967641 0.907076 0.908376 0.013221          
154 1.54 6.570667 0.90707609 0.904421 0.905748 0.013183          
155 1.55 6.613333 0.90442083 0.90171 0.903065 0.013144          
156 1.56 6.656 0.90171016 0.898944 0.900327 0.013104          
157 1.57 6.698667 0.8989436 0.896121 0.897532 0.013063          
158 1.58 6.741333 0.89612071 0.893241 0.894681 0.013022          
159 1.59 6.784 0.89324107 0.890304 0.891773 0.012979          
160 1.6 6.826667 0.89030426 0.88731 0.888807 0.012936          
161 1.61 6.869333 0.88730989 0.884258 0.885784 0.012892          
162 1.62 6.912 0.88425762 0.881147 0.882702 0.012847          
163 1.63 6.954667 0.88114708 0.877978 0.879563 0.012802          
164 1.64 6.997333 0.87797795 0.87475 0.876364 0.012755          
165 1.65 7.04 0.87474995 0.871463 0.873106 0.012708          
166 1.66 7.082667 0.8714628 0.868116 0.86979 0.012659          
167 1.67 7.125333 0.86811625 0.86471 0.866413 0.01261          
168 1.68 7.168 0.86471007 0.861244 0.862977 0.01256          
169 1.69 7.210667 0.86124408 0.857718 0.859481 0.012509          
170 1.7 7.253333 0.8577181 0.854132 0.855925 0.012458          
171 1.71 7.296 0.85413198 0.850486 0.852309 0.012405          
172 1.72 7.338667 0.85048562 0.846779 0.848632 0.012351          
173 1.73 7.381333 0.84677893 0.843012 0.844895 0.012297          
174 1.74 7.424 0.84301184 0.839184 0.841098 0.012242          
175 1.75 7.466667 0.83918433 0.835296 0.83724 0.012186          
176 1.76 7.509333 0.83529641 0.831348 0.833322 0.012129          
177 1.77 7.552 0.8313481 0.827339 0.829344 0.012071          
178 1.78 7.594667 0.82733948 0.823271 0.825305 0.012012          
179 1.79 7.637333 0.82327062 0.819142 0.821206 0.011952          
180 1.8 7.68 0.81914166 0.814953 0.817047 0.011892          
181 1.81 7.722667 0.81495277 0.810704 0.812828 0.01183          
182 1.82 7.765333 0.81070412 0.806396 0.80855 0.011768          
183 1.83 7.808 0.80639594 0.802028 0.804212 0.011705          
184 1.84 7.850667 0.80202849 0.797602 0.799815 0.011641          
185 1.85 7.893333 0.79760206 0.793117 0.79536 0.011576          
186 1.86 7.936 0.79311697 0.788574 0.790845 0.01151          
187 1.87 7.978667 0.78857358 0.783972 0.786273 0.011444          
188 1.88 8.021333 0.78397229 0.779314 0.781643 0.011376          
189 1.89 8.064 0.77931351 0.774598 0.776956 0.011308          
190 1.9 8.106667 0.7745977 0.769825 0.772212 0.011239          
191 1.91 8.149333 0.76982536 0.764997 0.767411 0.011169          
192 1.92 8.192 0.76499703 0.760113 0.762555 0.011099          
193 1.93 8.234667 0.76011325 0.755175 0.757644 0.011027          
194 1.94 8.277333 0.75517463 0.750182 0.752678 0.010955          
195 1.95 8.32 0.7501818 0.745135 0.747659 0.010882          
196 1.96 8.362667 0.74513542 0.740036 0.742586 0.010808          
197 1.97 8.405333 0.74003619 0.734885 0.737461 0.010733          
198 1.98 8.448 0.73488485 0.729682 0.732284 0.010658          
199 1.99 8.490667 0.72968217 0.724429 0.727056 0.010582          
200 2 8.533333 0.72442893 0.719126 0.721777 0.010505          
201 2.01 8.576 0.71912598 0.713774 0.71645 0.010428          
202 2.02 8.618667 0.71377419 0.708374 0.711074 0.010349          
203 2.03 8.661333 0.70837444 0.702928 0.705651 0.01027          
204 2.04 8.704 0.70292768 0.697435 0.700181 0.010191          
205 2.05 8.746667 0.69743486 0.691897 0.694666 0.01011          
206 2.06 8.789333 0.69189698 0.686315 0.689106 0.01003          
207 2.07 8.832 0.68631506 0.68069 0.683503 0.009948          
208 2.08 8.874667 0.68069016 0.675023 0.677857 0.009866          
209 2.09 8.917333 0.67502336 0.669316 0.67217 0.009783          
210 2.1 8.96 0.66931578 0.663569 0.666442 0.0097          
211 2.11 9.002667 0.66356855 0.657783 0.660676 0.009616          
212 2.12 9.045333 0.65778285 0.65196 0.654871 0.009531          
213 2.13 9.088 0.65195988 0.646101 0.64903 0.009446          
214 2.14 9.130667 0.64610085 0.640207 0.643154 0.009361          
215 2.15 9.173333 0.64020701 0.63428 0.637243 0.009275          
216 2.16 9.216 0.63427965 0.62832 0.6313 0.009188          
217 2.17 9.258667 0.62832005 0.62233 0.625325 0.009101          
218 2.18 9.301333 0.62232954 0.616309 0.61932 0.009014          
219 2.19 9.344 0.61630947 0.610261 0.613285 0.008926          
220 2.2 9.386667 0.61026119 0.604186 0.607224 0.008838          
221 2.21 9.429333 0.60418609 0.598086 0.601136 0.008749          
222 2.22 9.472 0.59808557 0.591961 0.595023 0.00866          
223 2.23 9.514667 0.59196107 0.585814 0.588888 0.008571          
224 2.24 9.557333 0.58581401 0.579646 0.58273 0.008481          
225 2.25 9.6 0.57964586 0.573458 0.576552 0.008391          
226 2.26 9.642667 0.57345809 0.567252 0.570355 0.008301          
227 2.27 9.685333 0.56725219 0.56103 0.564141 0.008211          
228 2.28 9.728 0.56102966 0.554792 0.557911 0.00812          
229 2.29 9.770667 0.55479201 0.548541 0.551666 0.008029          
230 2.3 9.813333 0.54854076 0.542277 0.545409 0.007938          
231 2.31 9.856 0.54227744 0.536004 0.539141 0.007847          
232 2.32 9.898667 0.53600361 0.529721 0.532862 0.007756          
233 2.33 9.941333 0.52972081 0.523431 0.526576 0.007664          
234 2.34 9.984 0.5234306 0.517135 0.520283 0.007572          
235 2.35 10.02667 0.51713454 0.510834 0.513984 0.007481          
236 2.36 10.06933 0.51083419 0.504531 0.507683 0.007389          
237 2.37 10.112 0.50453112 0.498227 0.501379 0.007297          
238 2.38 10.15467 0.49822692 0.491923 0.495075 0.007206          
239 2.39 10.19733 0.49192316 0.485621 0.488772 0.007114          
240 2.4 10.24 0.48562143 0.479323 0.482472 0.007022          
241 2.41 10.28267 0.4793233 0.47303 0.476177 0.00693          
242 2.42 10.32533 0.47303034 0.466744 0.469887 0.006839          
243 2.43 10.368 0.4667441 0.460466 0.463605 0.006748          
244 2.44 10.41067 0.46046615 0.454198 0.457332 0.006656          
245 2.45 10.45333 0.45419805 0.447941 0.45107 0.006565          
246 2.46 10.496 0.44794133 0.441698 0.444819 0.006474          
247 2.47 10.53867 0.44169754 0.435468 0.438583 0.006383          
248 2.48 10.58133 0.43546821 0.429255 0.432362 0.006293          
249 2.49 10.624 0.42925484 0.423059 0.426157 0.006202          
250 2.5 10.66667 0.42305896 0.416882 0.419971 0.006112          
251 2.51 10.70933 0.41688204 0.410726 0.413804 0.006023          
252 2.52 10.752 0.41072558 0.404591 0.407658 0.005933          
253 2.53 10.79467 0.40459103 0.39848 0.401535 0.005844          
254 2.54 10.83733 0.39847985 0.392393 0.395437 0.005755          
255 2.55 10.88 0.39239345 0.386333 0.389363 0.005667          
256 2.56 10.92267 0.38633327 0.380301 0.383317 0.005579          
257 2.57 10.96533 0.38030068 0.374297 0.377299 0.005491          
258 2.58 11.008 0.37429707 0.368324 0.37131 0.005404          
259 2.59 11.05067 0.36832378 0.362382 0.365353 0.005318          
260 2.6 11.09333 0.36238216 0.356473 0.359428 0.005231          
261 2.61 11.136 0.3564735 0.350599 0.353536 0.005146          
262 2.62 11.17867 0.35059909 0.34476 0.34768 0.00506          
263 2.63 11.22133 0.34476018 0.338958 0.341859 0.004976          
264 2.64 11.264 0.33895803 0.333194 0.336076 0.004891          
265 2.65 11.30667 0.33319382 0.327469 0.330331 0.004808          
266 2.66 11.34933 0.32746875 0.321784 0.324626 0.004725          
267 2.67 11.392 0.32178397 0.316141 0.318962 0.004642          
268 2.68 11.43467 0.3161406 0.31054 0.31334 0.00456          
269 2.69 11.47733 0.31053975 0.304982 0.307761 0.004479          
270 2.7 11.52 0.30498247 0.29947 0.302226 0.004399          
271 2.71 11.56267 0.29946982 0.294003 0.296736 0.004319          
272 2.72 11.60533 0.29400279 0.288582 0.291293 0.00424          
273 2.73 11.648 0.28858235 0.283209 0.285896 0.004161          
274 2.74 11.69067 0.28320947 0.277885 0.280547 0.004083          
275 2.75 11.73333 0.27788504 0.27261 0.275247 0.004006          
276 2.76 11.776 0.27260995 0.267385 0.269998 0.00393          
277 2.77 11.81867 0.26738505 0.262211 0.264798 0.003854          
278 2.78 11.86133 0.26221115 0.257089 0.25965 0.003779          
279 2.79 11.904 0.25708903 0.252019 0.254554 0.003705          
280 2.8 11.94667 0.25201944 0.247003 0.249511 0.003632          
281 2.81 11.98933 0.2470031 0.242041 0.244522 0.003559          
282 2.82 12.032 0.24204068 0.237133 0.239587 0.003487          
283 2.83 12.07467 0.23713284 0.23228 0.234707 0.003416          
284 2.84 12.11733 0.23228017 0.227483 0.229882 0.003346          
285 2.85 12.16 0.22748327 0.222743 0.225113 0.003276          
286 2.86 12.20267 0.22274267 0.218059 0.220401 0.003208          
287 2.87 12.24533 0.21805888 0.213432 0.215746 0.00314          
288 2.88 12.288 0.21343238 0.208864 0.211148 0.003073          
289 2.89 12.33067 0.20886361 0.204353 0.206608 0.003007          
290 2.9 12.37333 0.20435297 0.199901 0.202127 0.002942          
291 2.91 12.416 0.19990083 0.195508 0.197704 0.002877          
292 2.92 12.45867 0.19550754 0.191173 0.19334 0.002814          
293 2.93 12.50133 0.1911734 0.186899 0.189036 0.002751          
294 2.94 12.544 0.18689868 0.182684 0.184791 0.00269          
295 2.95 12.58667 0.18268361 0.178528 0.180606 0.002629          
296 2.96 12.62933 0.17852841 0.174433 0.176481 0.002569          
297 2.97 12.672 0.17443324 0.170398 0.172416 0.002509          
298 2.98 12.71467 0.17039825 0.166424 0.168411 0.002451          
299 2.99 12.75733 0.16642355 0.162509 0.164466 0.002394          
300 3 12.8 0.1625092 0.158655 0.160582 0.002337          
        SUM   7.734929          

 

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)= 3.8391
Qo= 100.00 vph   Ko=   9.90099 veh/mile        
MU 10.10 mph   No=   30  veh        
SIGMA 2.70 mph   ALPHAO= 0.1010 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 52.62   PER HOUR= 224.51
        STANDARD DEVIATION= 7.25     3
        DETERMINISTIC  EQUATION= 53.14      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       29.70297          
1 0.01 0.042667 0.99990823 0.999902 0.999905 0.099001          
2 0.02 0.085333 0.99990229 0.999896 0.999899 0.099          
3 0.03 0.128 0.99989599 0.999889 0.999893 0.098999          
4 0.04 0.170667 0.9998893 0.999882 0.999886 0.098999          
5 0.05 0.213333 0.99988222 0.999875 0.999878 0.098998          
6 0.06 0.256 0.99987471 0.999867 0.999871 0.098997          
7 0.07 0.298667 0.99986675 0.999858 0.999863 0.098996          
8 0.08 0.341333 0.99985832 0.999849 0.999854 0.098995          
9 0.09 0.384 0.9998494 0.99984 0.999845 0.098995          
10 0.1 0.426667 0.99983995 0.99983 0.999835 0.098994          
11 0.11 0.469333 0.99982994 0.999819 0.999825 0.098993          
12 0.12 0.512 0.99981936 0.999808 0.999814 0.098991          
13 0.13 0.554667 0.99980816 0.999796 0.999802 0.09899          
14 0.14 0.597333 0.99979631 0.999784 0.99979 0.098989          
15 0.15 0.64 0.99978378 0.999771 0.999777 0.098988          
16 0.16 0.682667 0.99977054 0.999757 0.999764 0.098986          
17 0.17 0.725333 0.99975654 0.999742 0.999749 0.098985          
18 0.18 0.768 0.99974175 0.999726 0.999734 0.098984          
19 0.19 0.810667 0.99972613 0.99971 0.999718 0.098982          
20 0.2 0.853333 0.99970962 0.999692 0.999701 0.09898          
21 0.21 0.896 0.9996922 0.999674 0.999683 0.098979          
22 0.22 0.938667 0.99967381 0.999654 0.999664 0.098977          
23 0.23 0.981333 0.9996544 0.999634 0.999644 0.098975          
24 0.24 1.024 0.99963392 0.999612 0.999623 0.098973          
25 0.25 1.066667 0.99961232 0.99959 0.999601 0.09897          
26 0.26 1.109333 0.99958954 0.999566 0.999578 0.098968          
27 0.27 1.152 0.99956552 0.99954 0.999553 0.098966          
28 0.28 1.194667 0.99954021 0.999514 0.999527 0.098963          
29 0.29 1.237333 0.99951353 0.999485 0.999499 0.09896          
30 0.3 1.28 0.99948543 0.999456 0.999471 0.098957          
31 0.31 1.322667 0.99945583 0.999425 0.99944 0.098954          
32 0.32 1.365333 0.99942466 0.999392 0.999408 0.098951          
33 0.33 1.408 0.99939186 0.999357 0.999375 0.098948          
34 0.34 1.450667 0.99935733 0.999321 0.999339 0.098944          
35 0.35 1.493333 0.99932099 0.999283 0.999302 0.098941          
36 0.36 1.536 0.99928278 0.999243 0.999263 0.098937          
37 0.37 1.578667 0.99924258 0.9992 0.999221 0.098933          
38 0.38 1.621333 0.99920032 0.999156 0.999178 0.098929          
39 0.39 1.664 0.99915591 0.999109 0.999133 0.098924          
40 0.4 1.706667 0.99910923 0.99906 0.999085 0.098919          
41 0.41 1.749333 0.99906019 0.999009 0.999034 0.098914          
42 0.42 1.792 0.99900868 0.998955 0.998982 0.098909          
43 0.43 1.834667 0.99895458 0.998898 0.998926 0.098904          
44 0.44 1.877333 0.9988978 0.998838 0.998868 0.098898          
45 0.45 1.92 0.9988382 0.998776 0.998807 0.098892          
46 0.46 1.962667 0.99877566 0.99871 0.998743 0.098885          
47 0.47 2.005333 0.99871006 0.998641 0.998676 0.098879          
48 0.48 2.048 0.99864125 0.998569 0.998605 0.098872          
49 0.49 2.090667 0.99856911 0.998493 0.998531 0.098864          
50 0.5 2.133333 0.99849349 0.998414 0.998454 0.098857          
51 0.51 2.176 0.99841423 0.998331 0.998373 0.098849          
52 0.52 2.218667 0.9983312 0.998244 0.998288 0.09884          
53 0.53 2.261333 0.99824422 0.998153 0.998199 0.098832          
54 0.54 2.304 0.99815314 0.998058 0.998105 0.098822          
55 0.55 2.346667 0.99805778 0.997958 0.998008 0.098813          
56 0.56 2.389333 0.99795797 0.997854 0.997906 0.098803          
57 0.57 2.432 0.99785352 0.997744 0.997799 0.098792          
58 0.58 2.474667 0.99774426 0.99763 0.997687 0.098781          
59 0.59 2.517333 0.99762998 0.99751 0.99757 0.098769          
60 0.6 2.56 0.99751048 0.997386 0.997448 0.098757          
61 0.61 2.602667 0.99738557 0.997255 0.99732 0.098745          
62 0.62 2.645333 0.99725501 0.997119 0.997187 0.098731          
63 0.63 2.688 0.9971186 0.996976 0.997047 0.098718          
64 0.64 2.730667 0.99697611 0.996827 0.996902 0.098703          
65 0.65 2.773333 0.9968273 0.996672 0.99675 0.098688          
66 0.66 2.816 0.99667193 0.99651 0.996591 0.098672          
67 0.67 2.858667 0.99650975 0.996341 0.996425 0.098656          
68 0.68 2.901333 0.99634051 0.996164 0.996252 0.098639          
69 0.69 2.944 0.99616394 0.99598 0.996072 0.098621          
70 0.7 2.986667 0.99597978 0.995788 0.995884 0.098602          
71 0.71 3.029333 0.99578774 0.995588 0.995688 0.098583          
72 0.72 3.072 0.99558753 0.995379 0.995483 0.098563          
73 0.73 3.114667 0.99537887 0.995161 0.99527 0.098542          
74 0.74 3.157333 0.99516144 0.994935 0.995048 0.09852          
75 0.75 3.2 0.99493494 0.994699 0.994817 0.098497          
76 0.76 3.242667 0.99469905 0.994453 0.994576 0.098473          
77 0.77 3.285333 0.99445344 0.994198 0.994326 0.098448          
78 0.78 3.328 0.99419777 0.993932 0.994065 0.098422          
79 0.79 3.370667 0.9939317 0.993655 0.993793 0.098395          
80 0.8 3.413333 0.99365486 0.993367 0.993511 0.098367          
81 0.81 3.456 0.99336691 0.993067 0.993217 0.098338          
82 0.82 3.498667 0.99306747 0.992756 0.992912 0.098308          
83 0.83 3.541333 0.99275615 0.992433 0.992594 0.098277          
84 0.84 3.584 0.99243257 0.992096 0.992264 0.098244          
85 0.85 3.626667 0.99209633 0.991747 0.991922 0.09821          
86 0.86 3.669333 0.99174701 0.991384 0.991566 0.098175          
87 0.87 3.712 0.99138421 0.991007 0.991196 0.098138          
88 0.88 3.754667 0.99100749 0.990616 0.990812 0.0981          
89 0.89 3.797333 0.99061643 0.990211 0.990413 0.098061          
90 0.9 3.84 0.99021056 0.989789 0.99 0.09802          
91 0.91 3.882667 0.98978945 0.989353 0.989571 0.097977          
92 0.92 3.925333 0.98935262 0.9889 0.989126 0.097933          
93 0.93 3.968 0.9888996 0.98843 0.988665 0.097888          
94 0.94 4.010667 0.98842991 0.987943 0.988186 0.09784          
95 0.95 4.053333 0.98794306 0.987439 0.987691 0.097791          
96 0.96 4.096 0.98743854 0.986916 0.987177 0.09774          
97 0.97 4.138667 0.98691585 0.986374 0.986645 0.097688          
98 0.98 4.181333 0.98637447 0.985814 0.986094 0.097633          
99 0.99 4.224 0.98581386 0.985233 0.985524 0.097577          
100 1 4.266667 0.9852335 0.984633 0.984933 0.097518          
101 1.01 4.309333 0.98463282 0.984011 0.984322 0.097458          
102 1.02 4.352 0.98401129 0.983368 0.98369 0.097395          
103 1.03 4.394667 0.98336833 0.982703 0.983036 0.09733          
104 1.04 4.437333 0.98270338 0.982016 0.98236 0.097263          
105 1.05 4.48 0.98201584 0.981305 0.98166 0.097194          
106 1.06 4.522667 0.98130514 0.980571 0.980938 0.097123          
107 1.07 4.565333 0.98057067 0.979812 0.980191 0.097049          
108 1.08 4.608 0.97981183 0.979028 0.97942 0.096972          
109 1.09 4.650667 0.979028 0.978219 0.978623 0.096893          
110 1.1 4.693333 0.97821858 0.977383 0.977801 0.096812          
111 1.11 4.736 0.97738292 0.97652 0.976952 0.096728          
112 1.12 4.778667 0.9765204 0.97563 0.976075 0.096641          
113 1.13 4.821333 0.97563036 0.974712 0.975171 0.096552          
114 1.14 4.864 0.97471218 0.973765 0.974239 0.096459          
115 1.15 4.906667 0.97376518 0.972789 0.973277 0.096364          
116 1.16 4.949333 0.97278871 0.971782 0.972285 0.096266          
117 1.17 4.992 0.97178211 0.970745 0.971263 0.096165          
118 1.18 5.034667 0.97074471 0.969676 0.97021 0.09606          
119 1.19 5.077333 0.96967582 0.968575 0.969125 0.095953          
120 1.2 5.12 0.96857476 0.967441 0.968008 0.095842          
121 1.21 5.162667 0.96744086 0.966273 0.966857 0.095728          
122 1.22 5.205333 0.96627343 0.965072 0.965673 0.095611          
123 1.23 5.248 0.96507177 0.963835 0.964453 0.09549          
124 1.24 5.290667 0.96383518 0.962563 0.963199 0.095366          
125 1.25 5.333333 0.96256298 0.961254 0.961909 0.095238          
126 1.26 5.376 0.96125446 0.959909 0.960582 0.095107          
127 1.27 5.418667 0.95990892 0.958526 0.959217 0.094972          
128 1.28 5.461333 0.95852566 0.957104 0.957815 0.094833          
129 1.29 5.504 0.95710398 0.955643 0.956374 0.09469          
130 1.3 5.546667 0.95564317 0.954143 0.954893 0.094544          
131 1.31 5.589333 0.95414254 0.952601 0.953372 0.094393          
132 1.32 5.632 0.95260137 0.951019 0.95181 0.094239          
133 1.33 5.674667 0.95101898 0.949395 0.950207 0.09408          
134 1.34 5.717333 0.94939467 0.947728 0.948561 0.093917          
135 1.35 5.76 0.94772774 0.946017 0.946873 0.09375          
136 1.36 5.802667 0.94601749 0.944263 0.94514 0.093578          
137 1.37 5.845333 0.94426325 0.942464 0.943364 0.093402          
138 1.38 5.888 0.94246433 0.94062 0.941542 0.093222          
139 1.39 5.930667 0.94062005 0.93873 0.939675 0.093037          
140 1.4 5.973333 0.93872974 0.936793 0.937761 0.092848          
141 1.41 6.016 0.93679274 0.934808 0.935801 0.092654          
142 1.42 6.058667 0.93480839 0.932776 0.933792 0.092455          
143 1.43 6.101333 0.93277603 0.930695 0.931736 0.092251          
144 1.44 6.144 0.93069504 0.928565 0.92963 0.092043          
145 1.45 6.186667 0.92856476 0.926385 0.927475 0.091829          
146 1.46 6.229333 0.92638459 0.924154 0.925269 0.091611          
147 1.47 6.272 0.92415391 0.921872 0.923013 0.091387          
148 1.48 6.314667 0.92187212 0.919539 0.920705 0.091159          
149 1.49 6.357333 0.91953864 0.917153 0.918346 0.090925          
150 1.5 6.4 0.91715288 0.914714 0.915934 0.090686          
151 1.51 6.442667 0.91471428 0.912222 0.913468 0.090442          
152 1.52 6.485333 0.91222231 0.909676 0.910949 0.090193          
153 1.53 6.528 0.90967641 0.907076 0.908376 0.089938          
154 1.54 6.570667 0.90707609 0.904421 0.905748 0.089678          
155 1.55 6.613333 0.90442083 0.90171 0.903065 0.089412          
156 1.56 6.656 0.90171016 0.898944 0.900327 0.089141          
157 1.57 6.698667 0.8989436 0.896121 0.897532 0.088865          
158 1.58 6.741333 0.89612071 0.893241 0.894681 0.088582          
159 1.59 6.784 0.89324107 0.890304 0.891773 0.088294          
160 1.6 6.826667 0.89030426 0.88731 0.888807 0.088001          
161 1.61 6.869333 0.88730989 0.884258 0.885784 0.087701          
162 1.62 6.912 0.88425762 0.881147 0.882702 0.087396          
163 1.63 6.954667 0.88114708 0.877978 0.879563 0.087085          
164 1.64 6.997333 0.87797795 0.87475 0.876364 0.086769          
165 1.65 7.04 0.87474995 0.871463 0.873106 0.086446          
166 1.66 7.082667 0.8714628 0.868116 0.86979 0.086118          
167 1.67 7.125333 0.86811625 0.86471 0.866413 0.085783          
168 1.68 7.168 0.86471007 0.861244 0.862977 0.085443          
169 1.69 7.210667 0.86124408 0.857718 0.859481 0.085097          
170 1.7 7.253333 0.8577181 0.854132 0.855925 0.084745          
171 1.71 7.296 0.85413198 0.850486 0.852309 0.084387          
172 1.72 7.338667 0.85048562 0.846779 0.848632 0.084023          
173 1.73 7.381333 0.84677893 0.843012 0.844895 0.083653          
174 1.74 7.424 0.84301184 0.839184 0.841098 0.083277          
175 1.75 7.466667 0.83918433 0.835296 0.83724 0.082895          
176 1.76 7.509333 0.83529641 0.831348 0.833322 0.082507          
177 1.77 7.552 0.8313481 0.827339 0.829344 0.082113          
178 1.78 7.594667 0.82733948 0.823271 0.825305 0.081713          
179 1.79 7.637333 0.82327062 0.819142 0.821206 0.081308          
180 1.8 7.68 0.81914166 0.814953 0.817047 0.080896          
181 1.81 7.722667 0.81495277 0.810704 0.812828 0.080478          
182 1.82 7.765333 0.81070412 0.806396 0.80855 0.080054          
183 1.83 7.808 0.80639594 0.802028 0.804212 0.079625          
184 1.84 7.850667 0.80202849 0.797602 0.799815 0.07919          
185 1.85 7.893333 0.79760206 0.793117 0.79536 0.078748          
186 1.86 7.936 0.79311697 0.788574 0.790845 0.078302          
187 1.87 7.978667 0.78857358 0.783972 0.786273 0.077849          
188 1.88 8.021333 0.78397229 0.779314 0.781643 0.07739          
189 1.89 8.064 0.77931351 0.774598 0.776956 0.076926          
190 1.9 8.106667 0.7745977 0.769825 0.772212 0.076457          
191 1.91 8.149333 0.76982536 0.764997 0.767411 0.075981          
192 1.92 8.192 0.76499703 0.760113 0.762555 0.075501          
193 1.93 8.234667 0.76011325 0.755175 0.757644 0.075014          
194 1.94 8.277333 0.75517463 0.750182 0.752678 0.074523          
195 1.95 8.32 0.7501818 0.745135 0.747659 0.074026          
196 1.96 8.362667 0.74513542 0.740036 0.742586 0.073523          
197 1.97 8.405333 0.74003619 0.734885 0.737461 0.073016          
198 1.98 8.448 0.73488485 0.729682 0.732284 0.072503          
199 1.99 8.490667 0.72968217 0.724429 0.727056 0.071986          
200 2 8.533333 0.72442893 0.719126 0.721777 0.071463          
201 2.01 8.576 0.71912598 0.713774 0.71645 0.070936          
202 2.02 8.618667 0.71377419 0.708374 0.711074 0.070403          
203 2.03 8.661333 0.70837444 0.702928 0.705651 0.069866          
204 2.04 8.704 0.70292768 0.697435 0.700181 0.069325          
205 2.05 8.746667 0.69743486 0.691897 0.694666 0.068779          
206 2.06 8.789333 0.69189698 0.686315 0.689106 0.068228          
207 2.07 8.832 0.68631506 0.68069 0.683503 0.067674          
208 2.08 8.874667 0.68069016 0.675023 0.677857 0.067115          
209 2.09 8.917333 0.67502336 0.669316 0.67217 0.066551          
210 2.1 8.96 0.66931578 0.663569 0.666442 0.065984          
211 2.11 9.002667 0.66356855 0.657783 0.660676 0.065413          
212 2.12 9.045333 0.65778285 0.65196 0.654871 0.064839          
213 2.13 9.088 0.65195988 0.646101 0.64903 0.06426          
214 2.14 9.130667 0.64610085 0.640207 0.643154 0.063679          
215 2.15 9.173333 0.64020701 0.63428 0.637243 0.063093          
216 2.16 9.216 0.63427965 0.62832 0.6313 0.062505          
217 2.17 9.258667 0.62832005 0.62233 0.625325 0.061913          
218 2.18 9.301333 0.62232954 0.616309 0.61932 0.061319          
219 2.19 9.344 0.61630947 0.610261 0.613285 0.060721          
220 2.2 9.386667 0.61026119 0.604186 0.607224 0.060121          
221 2.21 9.429333 0.60418609 0.598086 0.601136 0.059518          
222 2.22 9.472 0.59808557 0.591961 0.595023 0.058913          
223 2.23 9.514667 0.59196107 0.585814 0.588888 0.058306          
224 2.24 9.557333 0.58581401 0.579646 0.58273 0.057696          
225 2.25 9.6 0.57964586 0.573458 0.576552 0.057084          
226 2.26 9.642667 0.57345809 0.567252 0.570355 0.056471          
227 2.27 9.685333 0.56725219 0.56103 0.564141 0.055856          
228 2.28 9.728 0.56102966 0.554792 0.557911 0.055239          
229 2.29 9.770667 0.55479201 0.548541 0.551666 0.05462          
230 2.3 9.813333 0.54854076 0.542277 0.545409 0.054001          
231 2.31 9.856 0.54227744 0.536004 0.539141 0.05338          
232 2.32 9.898667 0.53600361 0.529721 0.532862 0.052759          
233 2.33 9.941333 0.52972081 0.523431 0.526576 0.052136          
234 2.34 9.984 0.5234306 0.517135 0.520283 0.051513          
235 2.35 10.02667 0.51713454 0.510834 0.513984 0.05089          
236 2.36 10.06933 0.51083419 0.504531 0.507683 0.050266          
237 2.37 10.112 0.50453112 0.498227 0.501379 0.049641          
238 2.38 10.15467 0.49822692 0.491923 0.495075 0.049017          
239 2.39 10.19733 0.49192316 0.485621 0.488772 0.048393          
240 2.4 10.24 0.48562143 0.479323 0.482472 0.04777          
241 2.41 10.28267 0.4793233 0.47303 0.476177 0.047146          
242 2.42 10.32533 0.47303034 0.466744 0.469887 0.046523          
243 2.43 10.368 0.4667441 0.460466 0.463605 0.045901          
244 2.44 10.41067 0.46046615 0.454198 0.457332 0.04528          
245 2.45 10.45333 0.45419805 0.447941 0.45107 0.04466          
246 2.46 10.496 0.44794133 0.441698 0.444819 0.044042          
247 2.47 10.53867 0.44169754 0.435468 0.438583 0.043424          
248 2.48 10.58133 0.43546821 0.429255 0.432362 0.042808          
249 2.49 10.624 0.42925484 0.423059 0.426157 0.042194          
250 2.5 10.66667 0.42305896 0.416882 0.419971 0.041581          
251 2.51 10.70933 0.41688204 0.410726 0.413804 0.040971          
252 2.52 10.752 0.41072558 0.404591 0.407658 0.040362          
253 2.53 10.79467 0.40459103 0.39848 0.401535 0.039756          
254 2.54 10.83733 0.39847985 0.392393 0.395437 0.039152          
255 2.55 10.88 0.39239345 0.386333 0.389363 0.038551          
256 2.56 10.92267 0.38633327 0.380301 0.383317 0.037952          
257 2.57 10.96533 0.38030068 0.374297 0.377299 0.037356          
258 2.58 11.008 0.37429707 0.368324 0.37131 0.036763          
259 2.59 11.05067 0.36832378 0.362382 0.365353 0.036174          
260 2.6 11.09333 0.36238216 0.356473 0.359428 0.035587          
261 2.61 11.136 0.3564735 0.350599 0.353536 0.035004          
262 2.62 11.17867 0.35059909 0.34476 0.34768 0.034424          
263 2.63 11.22133 0.34476018 0.338958 0.341859 0.033847          
264 2.64 11.264 0.33895803 0.333194 0.336076 0.033275          
265 2.65 11.30667 0.33319382 0.327469 0.330331 0.032706          
266 2.66 11.34933 0.32746875 0.321784 0.324626 0.032141          
267 2.67 11.392 0.32178397 0.316141 0.318962 0.03158          
268 2.68 11.43467 0.3161406 0.31054 0.31334 0.031024          
269 2.69 11.47733 0.31053975 0.304982 0.307761 0.030471          
270 2.7 11.52 0.30498247 0.29947 0.302226 0.029923          
271 2.71 11.56267 0.29946982 0.294003 0.296736 0.02938          
272 2.72 11.60533 0.29400279 0.288582 0.291293 0.028841          
273 2.73 11.648 0.28858235 0.283209 0.285896 0.028307          
274 2.74 11.69067 0.28320947 0.277885 0.280547 0.027777          
275 2.75 11.73333 0.27788504 0.27261 0.275247 0.027252          
276 2.76 11.776 0.27260995 0.267385 0.269998 0.026732          
277 2.77 11.81867 0.26738505 0.262211 0.264798 0.026218          
278 2.78 11.86133 0.26221115 0.257089 0.25965 0.025708          
279 2.79 11.904 0.25708903 0.252019 0.254554 0.025203          
280 2.8 11.94667 0.25201944 0.247003 0.249511 0.024704          
281 2.81 11.98933 0.2470031 0.242041 0.244522 0.02421          
282 2.82 12.032 0.24204068 0.237133 0.239587 0.023721          
283 2.83 12.07467 0.23713284 0.23228 0.234707 0.023238          
284 2.84 12.11733 0.23228017 0.227483 0.229882 0.022761          
285 2.85 12.16 0.22748327 0.222743 0.225113 0.022288          
286 2.86 12.20267 0.22274267 0.218059 0.220401 0.021822          
287 2.87 12.24533 0.21805888 0.213432 0.215746 0.021361          
288 2.88 12.288 0.21343238 0.208864 0.211148 0.020906          
289 2.89 12.33067 0.20886361 0.204353 0.206608 0.020456          
290 2.9 12.37333 0.20435297 0.199901 0.202127 0.020013          
291 2.91 12.416 0.19990083 0.195508 0.197704 0.019575          
292 2.92 12.45867 0.19550754 0.191173 0.19334 0.019143          
293 2.93 12.50133 0.1911734 0.186899 0.189036 0.018716          
294 2.94 12.544 0.18689868 0.182684 0.184791 0.018296          
295 2.95 12.58667 0.18268361 0.178528 0.180606 0.017882          
296 2.96 12.62933 0.17852841 0.174433 0.176481 0.017473          
297 2.97 12.672 0.17443324 0.170398 0.172416 0.017071          
298 2.98 12.71467 0.17039825 0.166424 0.168411 0.016674          
299 2.99 12.75733 0.16642355 0.162509 0.164466 0.016284          
300 3 12.8 0.1625092 0.158655 0.160582 0.015899          
        SUM   52.61856          

 

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)= 3.8391
Qo= 7.00 vph   Ko=   0.693069 veh/mile        
MU 10.10 mph   No=   2  veh        
SIGMA 2.70 mph   ALPHAO= 1.4429 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 3.68   PER HOUR= 15.72
        STANDARD DEVIATION= 1.92     4
        DETERMINISTIC  EQUATION= 3.72      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       2.079208          
1 0.01 0.042667 0.99990823 0.999902 0.999905 0.00693          
2 0.02 0.085333 0.99990229 0.999896 0.999899 0.00693          
3 0.03 0.128 0.99989599 0.999889 0.999893 0.00693          
4 0.04 0.170667 0.9998893 0.999882 0.999886 0.00693          
5 0.05 0.213333 0.99988222 0.999875 0.999878 0.00693          
6 0.06 0.256 0.99987471 0.999867 0.999871 0.00693          
7 0.07 0.298667 0.99986675 0.999858 0.999863 0.00693          
8 0.08 0.341333 0.99985832 0.999849 0.999854 0.00693          
9 0.09 0.384 0.9998494 0.99984 0.999845 0.00693          
10 0.1 0.426667 0.99983995 0.99983 0.999835 0.00693          
11 0.11 0.469333 0.99982994 0.999819 0.999825 0.006929          
12 0.12 0.512 0.99981936 0.999808 0.999814 0.006929          
13 0.13 0.554667 0.99980816 0.999796 0.999802 0.006929          
14 0.14 0.597333 0.99979631 0.999784 0.99979 0.006929          
15 0.15 0.64 0.99978378 0.999771 0.999777 0.006929          
16 0.16 0.682667 0.99977054 0.999757 0.999764 0.006929          
17 0.17 0.725333 0.99975654 0.999742 0.999749 0.006929          
18 0.18 0.768 0.99974175 0.999726 0.999734 0.006929          
19 0.19 0.810667 0.99972613 0.99971 0.999718 0.006929          
20 0.2 0.853333 0.99970962 0.999692 0.999701 0.006929          
21 0.21 0.896 0.9996922 0.999674 0.999683 0.006928          
22 0.22 0.938667 0.99967381 0.999654 0.999664 0.006928          
23 0.23 0.981333 0.9996544 0.999634 0.999644 0.006928          
24 0.24 1.024 0.99963392 0.999612 0.999623 0.006928          
25 0.25 1.066667 0.99961232 0.99959 0.999601 0.006928          
26 0.26 1.109333 0.99958954 0.999566 0.999578 0.006928          
27 0.27 1.152 0.99956552 0.99954 0.999553 0.006928          
28 0.28 1.194667 0.99954021 0.999514 0.999527 0.006927          
29 0.29 1.237333 0.99951353 0.999485 0.999499 0.006927          
30 0.3 1.28 0.99948543 0.999456 0.999471 0.006927          
31 0.31 1.322667 0.99945583 0.999425 0.99944 0.006927          
32 0.32 1.365333 0.99942466 0.999392 0.999408 0.006927          
33 0.33 1.408 0.99939186 0.999357 0.999375 0.006926          
34 0.34 1.450667 0.99935733 0.999321 0.999339 0.006926          
35 0.35 1.493333 0.99932099 0.999283 0.999302 0.006926          
36 0.36 1.536 0.99928278 0.999243 0.999263 0.006926          
37 0.37 1.578667 0.99924258 0.9992 0.999221 0.006925          
38 0.38 1.621333 0.99920032 0.999156 0.999178 0.006925          
39 0.39 1.664 0.99915591 0.999109 0.999133 0.006925          
40 0.4 1.706667 0.99910923 0.99906 0.999085 0.006924          
41 0.41 1.749333 0.99906019 0.999009 0.999034 0.006924          
42 0.42 1.792 0.99900868 0.998955 0.998982 0.006924          
43 0.43 1.834667 0.99895458 0.998898 0.998926 0.006923          
44 0.44 1.877333 0.9988978 0.998838 0.998868 0.006923          
45 0.45 1.92 0.9988382 0.998776 0.998807 0.006922          
46 0.46 1.962667 0.99877566 0.99871 0.998743 0.006922          
47 0.47 2.005333 0.99871006 0.998641 0.998676 0.006922          
48 0.48 2.048 0.99864125 0.998569 0.998605 0.006921          
49 0.49 2.090667 0.99856911 0.998493 0.998531 0.006921          
50 0.5 2.133333 0.99849349 0.998414 0.998454 0.00692          
51 0.51 2.176 0.99841423 0.998331 0.998373 0.006919          
52 0.52 2.218667 0.9983312 0.998244 0.998288 0.006919          
53 0.53 2.261333 0.99824422 0.998153 0.998199 0.006918          
54 0.54 2.304 0.99815314 0.998058 0.998105 0.006918          
55 0.55 2.346667 0.99805778 0.997958 0.998008 0.006917          
56 0.56 2.389333 0.99795797 0.997854 0.997906 0.006916          
57 0.57 2.432 0.99785352 0.997744 0.997799 0.006915          
58 0.58 2.474667 0.99774426 0.99763 0.997687 0.006915          
59 0.59 2.517333 0.99762998 0.99751 0.99757 0.006914          
60 0.6 2.56 0.99751048 0.997386 0.997448 0.006913          
61 0.61 2.602667 0.99738557 0.997255 0.99732 0.006912          
62 0.62 2.645333 0.99725501 0.997119 0.997187 0.006911          
63 0.63 2.688 0.9971186 0.996976 0.997047 0.00691          
64 0.64 2.730667 0.99697611 0.996827 0.996902 0.006909          
65 0.65 2.773333 0.9968273 0.996672 0.99675 0.006908          
66 0.66 2.816 0.99667193 0.99651 0.996591 0.006907          
67 0.67 2.858667 0.99650975 0.996341 0.996425 0.006906          
68 0.68 2.901333 0.99634051 0.996164 0.996252 0.006905          
69 0.69 2.944 0.99616394 0.99598 0.996072 0.006903          
70 0.7 2.986667 0.99597978 0.995788 0.995884 0.006902          
71 0.71 3.029333 0.99578774 0.995588 0.995688 0.006901          
72 0.72 3.072 0.99558753 0.995379 0.995483 0.006899          
73 0.73 3.114667 0.99537887 0.995161 0.99527 0.006898          
74 0.74 3.157333 0.99516144 0.994935 0.995048 0.006896          
75 0.75 3.2 0.99493494 0.994699 0.994817 0.006895          
76 0.76 3.242667 0.99469905 0.994453 0.994576 0.006893          
77 0.77 3.285333 0.99445344 0.994198 0.994326 0.006891          
78 0.78 3.328 0.99419777 0.993932 0.994065 0.00689          
79 0.79 3.370667 0.9939317 0.993655 0.993793 0.006888          
80 0.8 3.413333 0.99365486 0.993367 0.993511 0.006886          
81 0.81 3.456 0.99336691 0.993067 0.993217 0.006884          
82 0.82 3.498667 0.99306747 0.992756 0.992912 0.006882          
83 0.83 3.541333 0.99275615 0.992433 0.992594 0.006879          
84 0.84 3.584 0.99243257 0.992096 0.992264 0.006877          
85 0.85 3.626667 0.99209633 0.991747 0.991922 0.006875          
86 0.86 3.669333 0.99174701 0.991384 0.991566 0.006872          
87 0.87 3.712 0.99138421 0.991007 0.991196 0.00687          
88 0.88 3.754667 0.99100749 0.990616 0.990812 0.006867          
89 0.89 3.797333 0.99061643 0.990211 0.990413 0.006864          
90 0.9 3.84 0.99021056 0.989789 0.99 0.006861          
91 0.91 3.882667 0.98978945 0.989353 0.989571 0.006858          
92 0.92 3.925333 0.98935262 0.9889 0.989126 0.006855          
93 0.93 3.968 0.9888996 0.98843 0.988665 0.006852          
94 0.94 4.010667 0.98842991 0.987943 0.988186 0.006849          
95 0.95 4.053333 0.98794306 0.987439 0.987691 0.006845          
96 0.96 4.096 0.98743854 0.986916 0.987177 0.006842          
97 0.97 4.138667 0.98691585 0.986374 0.986645 0.006838          
98 0.98 4.181333 0.98637447 0.985814 0.986094 0.006834          
99 0.99 4.224 0.98581386 0.985233 0.985524 0.00683          
100 1 4.266667 0.9852335 0.984633 0.984933 0.006826          
101 1.01 4.309333 0.98463282 0.984011 0.984322 0.006822          
102 1.02 4.352 0.98401129 0.983368 0.98369 0.006818          
103 1.03 4.394667 0.98336833 0.982703 0.983036 0.006813          
104 1.04 4.437333 0.98270338 0.982016 0.98236 0.006808          
105 1.05 4.48 0.98201584 0.981305 0.98166 0.006804          
106 1.06 4.522667 0.98130514 0.980571 0.980938 0.006799          
107 1.07 4.565333 0.98057067 0.979812 0.980191 0.006793          
108 1.08 4.608 0.97981183 0.979028 0.97942 0.006788          
109 1.09 4.650667 0.979028 0.978219 0.978623 0.006783          
110 1.1 4.693333 0.97821858 0.977383 0.977801 0.006777          
111 1.11 4.736 0.97738292 0.97652 0.976952 0.006771          
112 1.12 4.778667 0.9765204 0.97563 0.976075 0.006765          
113 1.13 4.821333 0.97563036 0.974712 0.975171 0.006759          
114 1.14 4.864 0.97471218 0.973765 0.974239 0.006752          
115 1.15 4.906667 0.97376518 0.972789 0.973277 0.006745          
116 1.16 4.949333 0.97278871 0.971782 0.972285 0.006739          
117 1.17 4.992 0.97178211 0.970745 0.971263 0.006732          
118 1.18 5.034667 0.97074471 0.969676 0.97021 0.006724          
119 1.19 5.077333 0.96967582 0.968575 0.969125 0.006717          
120 1.2 5.12 0.96857476 0.967441 0.968008 0.006709          
121 1.21 5.162667 0.96744086 0.966273 0.966857 0.006701          
122 1.22 5.205333 0.96627343 0.965072 0.965673 0.006693          
123 1.23 5.248 0.96507177 0.963835 0.964453 0.006684          
124 1.24 5.290667 0.96383518 0.962563 0.963199 0.006676          
125 1.25 5.333333 0.96256298 0.961254 0.961909 0.006667          
126 1.26 5.376 0.96125446 0.959909 0.960582 0.006657          
127 1.27 5.418667 0.95990892 0.958526 0.959217 0.006648          
128 1.28 5.461333 0.95852566 0.957104 0.957815 0.006638          
129 1.29 5.504 0.95710398 0.955643 0.956374 0.006628          
130 1.3 5.546667 0.95564317 0.954143 0.954893 0.006618          
131 1.31 5.589333 0.95414254 0.952601 0.953372 0.006608          
132 1.32 5.632 0.95260137 0.951019 0.95181 0.006597          
133 1.33 5.674667 0.95101898 0.949395 0.950207 0.006586          
134 1.34 5.717333 0.94939467 0.947728 0.948561 0.006574          
135 1.35 5.76 0.94772774 0.946017 0.946873 0.006562          
136 1.36 5.802667 0.94601749 0.944263 0.94514 0.00655          
137 1.37 5.845333 0.94426325 0.942464 0.943364 0.006538          
138 1.38 5.888 0.94246433 0.94062 0.941542 0.006526          
139 1.39 5.930667 0.94062005 0.93873 0.939675 0.006513          
140 1.4 5.973333 0.93872974 0.936793 0.937761 0.006499          
141 1.41 6.016 0.93679274 0.934808 0.935801 0.006486          
142 1.42 6.058667 0.93480839 0.932776 0.933792 0.006472          
143 1.43 6.101333 0.93277603 0.930695 0.931736 0.006458          
144 1.44 6.144 0.93069504 0.928565 0.92963 0.006443          
145 1.45 6.186667 0.92856476 0.926385 0.927475 0.006428          
146 1.46 6.229333 0.92638459 0.924154 0.925269 0.006413          
147 1.47 6.272 0.92415391 0.921872 0.923013 0.006397          
148 1.48 6.314667 0.92187212 0.919539 0.920705 0.006381          
149 1.49 6.357333 0.91953864 0.917153 0.918346 0.006365          
150 1.5 6.4 0.91715288 0.914714 0.915934 0.006348          
151 1.51 6.442667 0.91471428 0.912222 0.913468 0.006331          
152 1.52 6.485333 0.91222231 0.909676 0.910949 0.006314          
153 1.53 6.528 0.90967641 0.907076 0.908376 0.006296          
154 1.54 6.570667 0.90707609 0.904421 0.905748 0.006277          
155 1.55 6.613333 0.90442083 0.90171 0.903065 0.006259          
156 1.56 6.656 0.90171016 0.898944 0.900327 0.00624          
157 1.57 6.698667 0.8989436 0.896121 0.897532 0.006221          
158 1.58 6.741333 0.89612071 0.893241 0.894681 0.006201          
159 1.59 6.784 0.89324107 0.890304 0.891773 0.006181          
160 1.6 6.826667 0.89030426 0.88731 0.888807 0.00616          
161 1.61 6.869333 0.88730989 0.884258 0.885784 0.006139          
162 1.62 6.912 0.88425762 0.881147 0.882702 0.006118          
163 1.63 6.954667 0.88114708 0.877978 0.879563 0.006096          
164 1.64 6.997333 0.87797795 0.87475 0.876364 0.006074          
165 1.65 7.04 0.87474995 0.871463 0.873106 0.006051          
166 1.66 7.082667 0.8714628 0.868116 0.86979 0.006028          
167 1.67 7.125333 0.86811625 0.86471 0.866413 0.006005          
168 1.68 7.168 0.86471007 0.861244 0.862977 0.005981          
169 1.69 7.210667 0.86124408 0.857718 0.859481 0.005957          
170 1.7 7.253333 0.8577181 0.854132 0.855925 0.005932          
171 1.71 7.296 0.85413198 0.850486 0.852309 0.005907          
172 1.72 7.338667 0.85048562 0.846779 0.848632 0.005882          
173 1.73 7.381333 0.84677893 0.843012 0.844895 0.005856          
174 1.74 7.424 0.84301184 0.839184 0.841098 0.005829          
175 1.75 7.466667 0.83918433 0.835296 0.83724 0.005803          
176 1.76 7.509333 0.83529641 0.831348 0.833322 0.005776          
177 1.77 7.552 0.8313481 0.827339 0.829344 0.005748          
178 1.78 7.594667 0.82733948 0.823271 0.825305 0.00572          
179 1.79 7.637333 0.82327062 0.819142 0.821206 0.005692          
180 1.8 7.68 0.81914166 0.814953 0.817047 0.005663          
181 1.81 7.722667 0.81495277 0.810704 0.812828 0.005633          
182 1.82 7.765333 0.81070412 0.806396 0.80855 0.005604          
183 1.83 7.808 0.80639594 0.802028 0.804212 0.005574          
184 1.84 7.850667 0.80202849 0.797602 0.799815 0.005543          
185 1.85 7.893333 0.79760206 0.793117 0.79536 0.005512          
186 1.86 7.936 0.79311697 0.788574 0.790845 0.005481          
187 1.87 7.978667 0.78857358 0.783972 0.786273 0.005449          
188 1.88 8.021333 0.78397229 0.779314 0.781643 0.005417          
189 1.89 8.064 0.77931351 0.774598 0.776956 0.005385          
190 1.9 8.106667 0.7745977 0.769825 0.772212 0.005352          
191 1.91 8.149333 0.76982536 0.764997 0.767411 0.005319          
192 1.92 8.192 0.76499703 0.760113 0.762555 0.005285          
193 1.93 8.234667 0.76011325 0.755175 0.757644 0.005251          
194 1.94 8.277333 0.75517463 0.750182 0.752678 0.005217          
195 1.95 8.32 0.7501818 0.745135 0.747659 0.005182          
196 1.96 8.362667 0.74513542 0.740036 0.742586 0.005147          
197 1.97 8.405333 0.74003619 0.734885 0.737461 0.005111          
198 1.98 8.448 0.73488485 0.729682 0.732284 0.005075          
199 1.99 8.490667 0.72968217 0.724429 0.727056 0.005039          
200 2 8.533333 0.72442893 0.719126 0.721777 0.005002          
201 2.01 8.576 0.71912598 0.713774 0.71645 0.004965          
202 2.02 8.618667 0.71377419 0.708374 0.711074 0.004928          
203 2.03 8.661333 0.70837444 0.702928 0.705651 0.004891          
204 2.04 8.704 0.70292768 0.697435 0.700181 0.004853          
205 2.05 8.746667 0.69743486 0.691897 0.694666 0.004815          
206 2.06 8.789333 0.69189698 0.686315 0.689106 0.004776          
207 2.07 8.832 0.68631506 0.68069 0.683503 0.004737          
208 2.08 8.874667 0.68069016 0.675023 0.677857 0.004698          
209 2.09 8.917333 0.67502336 0.669316 0.67217 0.004659          
210 2.1 8.96 0.66931578 0.663569 0.666442 0.004619          
211 2.11 9.002667 0.66356855 0.657783 0.660676 0.004579          
212 2.12 9.045333 0.65778285 0.65196 0.654871 0.004539          
213 2.13 9.088 0.65195988 0.646101 0.64903 0.004498          
214 2.14 9.130667 0.64610085 0.640207 0.643154 0.004458          
215 2.15 9.173333 0.64020701 0.63428 0.637243 0.004417          
216 2.16 9.216 0.63427965 0.62832 0.6313 0.004375          
217 2.17 9.258667 0.62832005 0.62233 0.625325 0.004334          
218 2.18 9.301333 0.62232954 0.616309 0.61932 0.004292          
219 2.19 9.344 0.61630947 0.610261 0.613285 0.00425          
220 2.2 9.386667 0.61026119 0.604186 0.607224 0.004208          
221 2.21 9.429333 0.60418609 0.598086 0.601136 0.004166          
222 2.22 9.472 0.59808557 0.591961 0.595023 0.004124          
223 2.23 9.514667 0.59196107 0.585814 0.588888 0.004081          
224 2.24 9.557333 0.58581401 0.579646 0.58273 0.004039          
225 2.25 9.6 0.57964586 0.573458 0.576552 0.003996          
226 2.26 9.642667 0.57345809 0.567252 0.570355 0.003953          
227 2.27 9.685333 0.56725219 0.56103 0.564141 0.00391          
228 2.28 9.728 0.56102966 0.554792 0.557911 0.003867          
229 2.29 9.770667 0.55479201 0.548541 0.551666 0.003823          
230 2.3 9.813333 0.54854076 0.542277 0.545409 0.00378          
231 2.31 9.856 0.54227744 0.536004 0.539141 0.003737          
232 2.32 9.898667 0.53600361 0.529721 0.532862 0.003693          
233 2.33 9.941333 0.52972081 0.523431 0.526576 0.00365          
234 2.34 9.984 0.5234306 0.517135 0.520283 0.003606          
235 2.35 10.02667 0.51713454 0.510834 0.513984 0.003562          
236 2.36 10.06933 0.51083419 0.504531 0.507683 0.003519          
237 2.37 10.112 0.50453112 0.498227 0.501379 0.003475          
238 2.38 10.15467 0.49822692 0.491923 0.495075 0.003431          
239 2.39 10.19733 0.49192316 0.485621 0.488772 0.003388          
240 2.4 10.24 0.48562143 0.479323 0.482472 0.003344          
241 2.41 10.28267 0.4793233 0.47303 0.476177 0.0033          
242 2.42 10.32533 0.47303034 0.466744 0.469887 0.003257          
243 2.43 10.368 0.4667441 0.460466 0.463605 0.003213          
244 2.44 10.41067 0.46046615 0.454198 0.457332 0.00317          
245 2.45 10.45333 0.45419805 0.447941 0.45107 0.003126          
246 2.46 10.496 0.44794133 0.441698 0.444819 0.003083          
247 2.47 10.53867 0.44169754 0.435468 0.438583 0.00304          
248 2.48 10.58133 0.43546821 0.429255 0.432362 0.002997          
249 2.49 10.624 0.42925484 0.423059 0.426157 0.002954          
250 2.5 10.66667 0.42305896 0.416882 0.419971 0.002911          
251 2.51 10.70933 0.41688204 0.410726 0.413804 0.002868          
252 2.52 10.752 0.41072558 0.404591 0.407658 0.002825          
253 2.53 10.79467 0.40459103 0.39848 0.401535 0.002783          
254 2.54 10.83733 0.39847985 0.392393 0.395437 0.002741          
255 2.55 10.88 0.39239345 0.386333 0.389363 0.002699          
256 2.56 10.92267 0.38633327 0.380301 0.383317 0.002657          
257 2.57 10.96533 0.38030068 0.374297 0.377299 0.002615          
258 2.58 11.008 0.37429707 0.368324 0.37131 0.002573          
259 2.59 11.05067 0.36832378 0.362382 0.365353 0.002532          
260 2.6 11.09333 0.36238216 0.356473 0.359428 0.002491          
261 2.61 11.136 0.3564735 0.350599 0.353536 0.00245          
262 2.62 11.17867 0.35059909 0.34476 0.34768 0.00241          
263 2.63 11.22133 0.34476018 0.338958 0.341859 0.002369          
264 2.64 11.264 0.33895803 0.333194 0.336076 0.002329          
265 2.65 11.30667 0.33319382 0.327469 0.330331 0.002289          
266 2.66 11.34933 0.32746875 0.321784 0.324626 0.00225          
267 2.67 11.392 0.32178397 0.316141 0.318962 0.002211          
268 2.68 11.43467 0.3161406 0.31054 0.31334 0.002172          
269 2.69 11.47733 0.31053975 0.304982 0.307761 0.002133          
270 2.7 11.52 0.30498247 0.29947 0.302226 0.002095          
271 2.71 11.56267 0.29946982 0.294003 0.296736 0.002057          
272 2.72 11.60533 0.29400279 0.288582 0.291293 0.002019          
273 2.73 11.648 0.28858235 0.283209 0.285896 0.001981          
274 2.74 11.69067 0.28320947 0.277885 0.280547 0.001944          
275 2.75 11.73333 0.27788504 0.27261 0.275247 0.001908          
276 2.76 11.776 0.27260995 0.267385 0.269998 0.001871          
277 2.77 11.81867 0.26738505 0.262211 0.264798 0.001835          
278 2.78 11.86133 0.26221115 0.257089 0.25965 0.0018          
279 2.79 11.904 0.25708903 0.252019 0.254554 0.001764          
280 2.8 11.94667 0.25201944 0.247003 0.249511 0.001729          
281 2.81 11.98933 0.2470031 0.242041 0.244522 0.001695          
282 2.82 12.032 0.24204068 0.237133 0.239587 0.001661          
283 2.83 12.07467 0.23713284 0.23228 0.234707 0.001627          
284 2.84 12.11733 0.23228017 0.227483 0.229882 0.001593          
285 2.85 12.16 0.22748327 0.222743 0.225113 0.00156          
286 2.86 12.20267 0.22274267 0.218059 0.220401 0.001528          
287 2.87 12.24533 0.21805888 0.213432 0.215746 0.001495          
288 2.88 12.288 0.21343238 0.208864 0.211148 0.001463          
289 2.89 12.33067 0.20886361 0.204353 0.206608 0.001432          
290 2.9 12.37333 0.20435297 0.199901 0.202127 0.001401          
291 2.91 12.416 0.19990083 0.195508 0.197704 0.00137          
292 2.92 12.45867 0.19550754 0.191173 0.19334 0.00134          
293 2.93 12.50133 0.1911734 0.186899 0.189036 0.00131          
294 2.94 12.544 0.18689868 0.182684 0.184791 0.001281          
295 2.95 12.58667 0.18268361 0.178528 0.180606 0.001252          
296 2.96 12.62933 0.17852841 0.174433 0.176481 0.001223          
297 2.97 12.672 0.17443324 0.170398 0.172416 0.001195          
298 2.98 12.71467 0.17039825 0.166424 0.168411 0.001167          
299 2.99 12.75733 0.16642355 0.162509 0.164466 0.00114          
300 3 12.8 0.1625092 0.158655 0.160582 0.001113          
        SUM   3.6833          

 

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)= 3.8391
Qo= 21.34 vph   Ko=   2.112871 veh/mile        
MU 10.10 mph   No=   6  veh        
SIGMA 2.70 mph   ALPHAO= 0.4733 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 11.23   PER HOUR= 47.91
        STANDARD DEVIATION= 3.35     5
        DETERMINISTIC  EQUATION= 11.34      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       6.338614          
1 0.01 0.042667 0.99990823 0.999902 0.999905 0.021127          
2 0.02 0.085333 0.99990229 0.999896 0.999899 0.021127          
3 0.03 0.128 0.99989599 0.999889 0.999893 0.021126          
4 0.04 0.170667 0.9998893 0.999882 0.999886 0.021126          
5 0.05 0.213333 0.99988222 0.999875 0.999878 0.021126          
6 0.06 0.256 0.99987471 0.999867 0.999871 0.021126          
7 0.07 0.298667 0.99986675 0.999858 0.999863 0.021126          
8 0.08 0.341333 0.99985832 0.999849 0.999854 0.021126          
9 0.09 0.384 0.9998494 0.99984 0.999845 0.021125          
10 0.1 0.426667 0.99983995 0.99983 0.999835 0.021125          
11 0.11 0.469333 0.99982994 0.999819 0.999825 0.021125          
12 0.12 0.512 0.99981936 0.999808 0.999814 0.021125          
13 0.13 0.554667 0.99980816 0.999796 0.999802 0.021125          
14 0.14 0.597333 0.99979631 0.999784 0.99979 0.021124          
15 0.15 0.64 0.99978378 0.999771 0.999777 0.021124          
16 0.16 0.682667 0.99977054 0.999757 0.999764 0.021124          
17 0.17 0.725333 0.99975654 0.999742 0.999749 0.021123          
18 0.18 0.768 0.99974175 0.999726 0.999734 0.021123          
19 0.19 0.810667 0.99972613 0.99971 0.999718 0.021123          
20 0.2 0.853333 0.99970962 0.999692 0.999701 0.021122          
21 0.21 0.896 0.9996922 0.999674 0.999683 0.021122          
22 0.22 0.938667 0.99967381 0.999654 0.999664 0.021122          
23 0.23 0.981333 0.9996544 0.999634 0.999644 0.021121          
24 0.24 1.024 0.99963392 0.999612 0.999623 0.021121          
25 0.25 1.066667 0.99961232 0.99959 0.999601 0.02112          
26 0.26 1.109333 0.99958954 0.999566 0.999578 0.02112          
27 0.27 1.152 0.99956552 0.99954 0.999553 0.021119          
28 0.28 1.194667 0.99954021 0.999514 0.999527 0.021119          
29 0.29 1.237333 0.99951353 0.999485 0.999499 0.021118          
30 0.3 1.28 0.99948543 0.999456 0.999471 0.021118          
31 0.31 1.322667 0.99945583 0.999425 0.99944 0.021117          
32 0.32 1.365333 0.99942466 0.999392 0.999408 0.021116          
33 0.33 1.408 0.99939186 0.999357 0.999375 0.021115          
34 0.34 1.450667 0.99935733 0.999321 0.999339 0.021115          
35 0.35 1.493333 0.99932099 0.999283 0.999302 0.021114          
36 0.36 1.536 0.99928278 0.999243 0.999263 0.021113          
37 0.37 1.578667 0.99924258 0.9992 0.999221 0.021112          
38 0.38 1.621333 0.99920032 0.999156 0.999178 0.021111          
39 0.39 1.664 0.99915591 0.999109 0.999133 0.02111          
40 0.4 1.706667 0.99910923 0.99906 0.999085 0.021109          
41 0.41 1.749333 0.99906019 0.999009 0.999034 0.021108          
42 0.42 1.792 0.99900868 0.998955 0.998982 0.021107          
43 0.43 1.834667 0.99895458 0.998898 0.998926 0.021106          
44 0.44 1.877333 0.9988978 0.998838 0.998868 0.021105          
45 0.45 1.92 0.9988382 0.998776 0.998807 0.021104          
46 0.46 1.962667 0.99877566 0.99871 0.998743 0.021102          
47 0.47 2.005333 0.99871006 0.998641 0.998676 0.021101          
48 0.48 2.048 0.99864125 0.998569 0.998605 0.021099          
49 0.49 2.090667 0.99856911 0.998493 0.998531 0.021098          
50 0.5 2.133333 0.99849349 0.998414 0.998454 0.021096          
51 0.51 2.176 0.99841423 0.998331 0.998373 0.021094          
52 0.52 2.218667 0.9983312 0.998244 0.998288 0.021093          
53 0.53 2.261333 0.99824422 0.998153 0.998199 0.021091          
54 0.54 2.304 0.99815314 0.998058 0.998105 0.021089          
55 0.55 2.346667 0.99805778 0.997958 0.998008 0.021087          
56 0.56 2.389333 0.99795797 0.997854 0.997906 0.021084          
57 0.57 2.432 0.99785352 0.997744 0.997799 0.021082          
58 0.58 2.474667 0.99774426 0.99763 0.997687 0.02108          
59 0.59 2.517333 0.99762998 0.99751 0.99757 0.021077          
60 0.6 2.56 0.99751048 0.997386 0.997448 0.021075          
61 0.61 2.602667 0.99738557 0.997255 0.99732 0.021072          
62 0.62 2.645333 0.99725501 0.997119 0.997187 0.021069          
63 0.63 2.688 0.9971186 0.996976 0.997047 0.021066          
64 0.64 2.730667 0.99697611 0.996827 0.996902 0.021063          
65 0.65 2.773333 0.9968273 0.996672 0.99675 0.02106          
66 0.66 2.816 0.99667193 0.99651 0.996591 0.021057          
67 0.67 2.858667 0.99650975 0.996341 0.996425 0.021053          
68 0.68 2.901333 0.99634051 0.996164 0.996252 0.02105          
69 0.69 2.944 0.99616394 0.99598 0.996072 0.021046          
70 0.7 2.986667 0.99597978 0.995788 0.995884 0.021042          
71 0.71 3.029333 0.99578774 0.995588 0.995688 0.021038          
72 0.72 3.072 0.99558753 0.995379 0.995483 0.021033          
73 0.73 3.114667 0.99537887 0.995161 0.99527 0.021029          
74 0.74 3.157333 0.99516144 0.994935 0.995048 0.021024          
75 0.75 3.2 0.99493494 0.994699 0.994817 0.021019          
76 0.76 3.242667 0.99469905 0.994453 0.994576 0.021014          
77 0.77 3.285333 0.99445344 0.994198 0.994326 0.021009          
78 0.78 3.328 0.99419777 0.993932 0.994065 0.021003          
79 0.79 3.370667 0.9939317 0.993655 0.993793 0.020998          
80 0.8 3.413333 0.99365486 0.993367 0.993511 0.020992          
81 0.81 3.456 0.99336691 0.993067 0.993217 0.020985          
82 0.82 3.498667 0.99306747 0.992756 0.992912 0.020979          
83 0.83 3.541333 0.99275615 0.992433 0.992594 0.020972          
84 0.84 3.584 0.99243257 0.992096 0.992264 0.020965          
85 0.85 3.626667 0.99209633 0.991747 0.991922 0.020958          
86 0.86 3.669333 0.99174701 0.991384 0.991566 0.020951          
87 0.87 3.712 0.99138421 0.991007 0.991196 0.020943          
88 0.88 3.754667 0.99100749 0.990616 0.990812 0.020935          
89 0.89 3.797333 0.99061643 0.990211 0.990413 0.020926          
90 0.9 3.84 0.99021056 0.989789 0.99 0.020917          
91 0.91 3.882667 0.98978945 0.989353 0.989571 0.020908          
92 0.92 3.925333 0.98935262 0.9889 0.989126 0.020899          
93 0.93 3.968 0.9888996 0.98843 0.988665 0.020889          
94 0.94 4.010667 0.98842991 0.987943 0.988186 0.020879          
95 0.95 4.053333 0.98794306 0.987439 0.987691 0.020869          
96 0.96 4.096 0.98743854 0.986916 0.987177 0.020858          
97 0.97 4.138667 0.98691585 0.986374 0.986645 0.020847          
98 0.98 4.181333 0.98637447 0.985814 0.986094 0.020835          
99 0.99 4.224 0.98581386 0.985233 0.985524 0.020823          
100 1 4.266667 0.9852335 0.984633 0.984933 0.02081          
101 1.01 4.309333 0.98463282 0.984011 0.984322 0.020797          
102 1.02 4.352 0.98401129 0.983368 0.98369 0.020784          
103 1.03 4.394667 0.98336833 0.982703 0.983036 0.02077          
104 1.04 4.437333 0.98270338 0.982016 0.98236 0.020756          
105 1.05 4.48 0.98201584 0.981305 0.98166 0.020741          
106 1.06 4.522667 0.98130514 0.980571 0.980938 0.020726          
107 1.07 4.565333 0.98057067 0.979812 0.980191 0.02071          
108 1.08 4.608 0.97981183 0.979028 0.97942 0.020694          
109 1.09 4.650667 0.979028 0.978219 0.978623 0.020677          
110 1.1 4.693333 0.97821858 0.977383 0.977801 0.02066          
111 1.11 4.736 0.97738292 0.97652 0.976952 0.020642          
112 1.12 4.778667 0.9765204 0.97563 0.976075 0.020623          
113 1.13 4.821333 0.97563036 0.974712 0.975171 0.020604          
114 1.14 4.864 0.97471218 0.973765 0.974239 0.020584          
115 1.15 4.906667 0.97376518 0.972789 0.973277 0.020564          
116 1.16 4.949333 0.97278871 0.971782 0.972285 0.020543          
117 1.17 4.992 0.97178211 0.970745 0.971263 0.020522          
118 1.18 5.034667 0.97074471 0.969676 0.97021 0.020499          
119 1.19 5.077333 0.96967582 0.968575 0.969125 0.020476          
120 1.2 5.12 0.96857476 0.967441 0.968008 0.020453          
121 1.21 5.162667 0.96744086 0.966273 0.966857 0.020428          
122 1.22 5.205333 0.96627343 0.965072 0.965673 0.020403          
123 1.23 5.248 0.96507177 0.963835 0.964453 0.020378          
124 1.24 5.290667 0.96383518 0.962563 0.963199 0.020351          
125 1.25 5.333333 0.96256298 0.961254 0.961909 0.020324          
126 1.26 5.376 0.96125446 0.959909 0.960582 0.020296          
127 1.27 5.418667 0.95990892 0.958526 0.959217 0.020267          
128 1.28 5.461333 0.95852566 0.957104 0.957815 0.020237          
129 1.29 5.504 0.95710398 0.955643 0.956374 0.020207          
130 1.3 5.546667 0.95564317 0.954143 0.954893 0.020176          
131 1.31 5.589333 0.95414254 0.952601 0.953372 0.020144          
132 1.32 5.632 0.95260137 0.951019 0.95181 0.020111          
133 1.33 5.674667 0.95101898 0.949395 0.950207 0.020077          
134 1.34 5.717333 0.94939467 0.947728 0.948561 0.020042          
135 1.35 5.76 0.94772774 0.946017 0.946873 0.020006          
136 1.36 5.802667 0.94601749 0.944263 0.94514 0.01997          
137 1.37 5.845333 0.94426325 0.942464 0.943364 0.019932          
138 1.38 5.888 0.94246433 0.94062 0.941542 0.019894          
139 1.39 5.930667 0.94062005 0.93873 0.939675 0.019854          
140 1.4 5.973333 0.93872974 0.936793 0.937761 0.019814          
141 1.41 6.016 0.93679274 0.934808 0.935801 0.019772          
142 1.42 6.058667 0.93480839 0.932776 0.933792 0.01973          
143 1.43 6.101333 0.93277603 0.930695 0.931736 0.019686          
144 1.44 6.144 0.93069504 0.928565 0.92963 0.019642          
145 1.45 6.186667 0.92856476 0.926385 0.927475 0.019596          
146 1.46 6.229333 0.92638459 0.924154 0.925269 0.01955          
147 1.47 6.272 0.92415391 0.921872 0.923013 0.019502          
148 1.48 6.314667 0.92187212 0.919539 0.920705 0.019453          
149 1.49 6.357333 0.91953864 0.917153 0.918346 0.019403          
150 1.5 6.4 0.91715288 0.914714 0.915934 0.019352          
151 1.51 6.442667 0.91471428 0.912222 0.913468 0.0193          
152 1.52 6.485333 0.91222231 0.909676 0.910949 0.019247          
153 1.53 6.528 0.90967641 0.907076 0.908376 0.019193          
154 1.54 6.570667 0.90707609 0.904421 0.905748 0.019137          
155 1.55 6.613333 0.90442083 0.90171 0.903065 0.019081          
156 1.56 6.656 0.90171016 0.898944 0.900327 0.019023          
157 1.57 6.698667 0.8989436 0.896121 0.897532 0.018964          
158 1.58 6.741333 0.89612071 0.893241 0.894681 0.018903          
159 1.59 6.784 0.89324107 0.890304 0.891773 0.018842          
160 1.6 6.826667 0.89030426 0.88731 0.888807 0.018779          
161 1.61 6.869333 0.88730989 0.884258 0.885784 0.018715          
162 1.62 6.912 0.88425762 0.881147 0.882702 0.01865          
163 1.63 6.954667 0.88114708 0.877978 0.879563 0.018584          
164 1.64 6.997333 0.87797795 0.87475 0.876364 0.018516          
165 1.65 7.04 0.87474995 0.871463 0.873106 0.018448          
166 1.66 7.082667 0.8714628 0.868116 0.86979 0.018378          
167 1.67 7.125333 0.86811625 0.86471 0.866413 0.018306          
168 1.68 7.168 0.86471007 0.861244 0.862977 0.018234          
169 1.69 7.210667 0.86124408 0.857718 0.859481 0.01816          
170 1.7 7.253333 0.8577181 0.854132 0.855925 0.018085          
171 1.71 7.296 0.85413198 0.850486 0.852309 0.018008          
172 1.72 7.338667 0.85048562 0.846779 0.848632 0.017931          
173 1.73 7.381333 0.84677893 0.843012 0.844895 0.017852          
174 1.74 7.424 0.84301184 0.839184 0.841098 0.017771          
175 1.75 7.466667 0.83918433 0.835296 0.83724 0.01769          
176 1.76 7.509333 0.83529641 0.831348 0.833322 0.017607          
177 1.77 7.552 0.8313481 0.827339 0.829344 0.017523          
178 1.78 7.594667 0.82733948 0.823271 0.825305 0.017438          
179 1.79 7.637333 0.82327062 0.819142 0.821206 0.017351          
180 1.8 7.68 0.81914166 0.814953 0.817047 0.017263          
181 1.81 7.722667 0.81495277 0.810704 0.812828 0.017174          
182 1.82 7.765333 0.81070412 0.806396 0.80855 0.017084          
183 1.83 7.808 0.80639594 0.802028 0.804212 0.016992          
184 1.84 7.850667 0.80202849 0.797602 0.799815 0.016899          
185 1.85 7.893333 0.79760206 0.793117 0.79536 0.016805          
186 1.86 7.936 0.79311697 0.788574 0.790845 0.01671          
187 1.87 7.978667 0.78857358 0.783972 0.786273 0.016613          
188 1.88 8.021333 0.78397229 0.779314 0.781643 0.016515          
189 1.89 8.064 0.77931351 0.774598 0.776956 0.016416          
190 1.9 8.106667 0.7745977 0.769825 0.772212 0.016316          
191 1.91 8.149333 0.76982536 0.764997 0.767411 0.016214          
192 1.92 8.192 0.76499703 0.760113 0.762555 0.016112          
193 1.93 8.234667 0.76011325 0.755175 0.757644 0.016008          
194 1.94 8.277333 0.75517463 0.750182 0.752678 0.015903          
195 1.95 8.32 0.7501818 0.745135 0.747659 0.015797          
196 1.96 8.362667 0.74513542 0.740036 0.742586 0.01569          
197 1.97 8.405333 0.74003619 0.734885 0.737461 0.015582          
198 1.98 8.448 0.73488485 0.729682 0.732284 0.015472          
199 1.99 8.490667 0.72968217 0.724429 0.727056 0.015362          
200 2 8.533333 0.72442893 0.719126 0.721777 0.01525          
201 2.01 8.576 0.71912598 0.713774 0.71645 0.015138          
202 2.02 8.618667 0.71377419 0.708374 0.711074 0.015024          
203 2.03 8.661333 0.70837444 0.702928 0.705651 0.014909          
204 2.04 8.704 0.70292768 0.697435 0.700181 0.014794          
205 2.05 8.746667 0.69743486 0.691897 0.694666 0.014677          
206 2.06 8.789333 0.69189698 0.686315 0.689106 0.01456          
207 2.07 8.832 0.68631506 0.68069 0.683503 0.014442          
208 2.08 8.874667 0.68069016 0.675023 0.677857 0.014322          
209 2.09 8.917333 0.67502336 0.669316 0.67217 0.014202          
210 2.1 8.96 0.66931578 0.663569 0.666442 0.014081          
211 2.11 9.002667 0.66356855 0.657783 0.660676 0.013959          
212 2.12 9.045333 0.65778285 0.65196 0.654871 0.013837          
213 2.13 9.088 0.65195988 0.646101 0.64903 0.013713          
214 2.14 9.130667 0.64610085 0.640207 0.643154 0.013589          
215 2.15 9.173333 0.64020701 0.63428 0.637243 0.013464          
216 2.16 9.216 0.63427965 0.62832 0.6313 0.013339          
217 2.17 9.258667 0.62832005 0.62233 0.625325 0.013212          
218 2.18 9.301333 0.62232954 0.616309 0.61932 0.013085          
219 2.19 9.344 0.61630947 0.610261 0.613285 0.012958          
220 2.2 9.386667 0.61026119 0.604186 0.607224 0.01283          
221 2.21 9.429333 0.60418609 0.598086 0.601136 0.012701          
222 2.22 9.472 0.59808557 0.591961 0.595023 0.012572          
223 2.23 9.514667 0.59196107 0.585814 0.588888 0.012442          
224 2.24 9.557333 0.58581401 0.579646 0.58273 0.012312          
225 2.25 9.6 0.57964586 0.573458 0.576552 0.012182          
226 2.26 9.642667 0.57345809 0.567252 0.570355 0.012051          
227 2.27 9.685333 0.56725219 0.56103 0.564141 0.01192          
228 2.28 9.728 0.56102966 0.554792 0.557911 0.011788          
229 2.29 9.770667 0.55479201 0.548541 0.551666 0.011656          
230 2.3 9.813333 0.54854076 0.542277 0.545409 0.011524          
231 2.31 9.856 0.54227744 0.536004 0.539141 0.011391          
232 2.32 9.898667 0.53600361 0.529721 0.532862 0.011259          
233 2.33 9.941333 0.52972081 0.523431 0.526576 0.011126          
234 2.34 9.984 0.5234306 0.517135 0.520283 0.010993          
235 2.35 10.02667 0.51713454 0.510834 0.513984 0.01086          
236 2.36 10.06933 0.51083419 0.504531 0.507683 0.010727          
237 2.37 10.112 0.50453112 0.498227 0.501379 0.010593          
238 2.38 10.15467 0.49822692 0.491923 0.495075 0.01046          
239 2.39 10.19733 0.49192316 0.485621 0.488772 0.010327          
240 2.4 10.24 0.48562143 0.479323 0.482472 0.010194          
241 2.41 10.28267 0.4793233 0.47303 0.476177 0.010061          
242 2.42 10.32533 0.47303034 0.466744 0.469887 0.009928          
243 2.43 10.368 0.4667441 0.460466 0.463605 0.009795          
244 2.44 10.41067 0.46046615 0.454198 0.457332 0.009663          
245 2.45 10.45333 0.45419805 0.447941 0.45107 0.009531          
246 2.46 10.496 0.44794133 0.441698 0.444819 0.009398          
247 2.47 10.53867 0.44169754 0.435468 0.438583 0.009267          
248 2.48 10.58133 0.43546821 0.429255 0.432362 0.009135          
249 2.49 10.624 0.42925484 0.423059 0.426157 0.009004          
250 2.5 10.66667 0.42305896 0.416882 0.419971 0.008873          
251 2.51 10.70933 0.41688204 0.410726 0.413804 0.008743          
252 2.52 10.752 0.41072558 0.404591 0.407658 0.008613          
253 2.53 10.79467 0.40459103 0.39848 0.401535 0.008484          
254 2.54 10.83733 0.39847985 0.392393 0.395437 0.008355          
255 2.55 10.88 0.39239345 0.386333 0.389363 0.008227          
256 2.56 10.92267 0.38633327 0.380301 0.383317 0.008099          
257 2.57 10.96533 0.38030068 0.374297 0.377299 0.007972          
258 2.58 11.008 0.37429707 0.368324 0.37131 0.007845          
259 2.59 11.05067 0.36832378 0.362382 0.365353 0.007719          
260 2.6 11.09333 0.36238216 0.356473 0.359428 0.007594          
261 2.61 11.136 0.3564735 0.350599 0.353536 0.00747          
262 2.62 11.17867 0.35059909 0.34476 0.34768 0.007346          
263 2.63 11.22133 0.34476018 0.338958 0.341859 0.007223          
264 2.64 11.264 0.33895803 0.333194 0.336076 0.007101          
265 2.65 11.30667 0.33319382 0.327469 0.330331 0.006979          
266 2.66 11.34933 0.32746875 0.321784 0.324626 0.006859          
267 2.67 11.392 0.32178397 0.316141 0.318962 0.006739          
268 2.68 11.43467 0.3161406 0.31054 0.31334 0.00662          
269 2.69 11.47733 0.31053975 0.304982 0.307761 0.006503          
270 2.7 11.52 0.30498247 0.29947 0.302226 0.006386          
271 2.71 11.56267 0.29946982 0.294003 0.296736 0.00627          
272 2.72 11.60533 0.29400279 0.288582 0.291293 0.006155          
273 2.73 11.648 0.28858235 0.283209 0.285896 0.006041          
274 2.74 11.69067 0.28320947 0.277885 0.280547 0.005928          
275 2.75 11.73333 0.27788504 0.27261 0.275247 0.005816          
276 2.76 11.776 0.27260995 0.267385 0.269998 0.005705          
277 2.77 11.81867 0.26738505 0.262211 0.264798 0.005595          
278 2.78 11.86133 0.26221115 0.257089 0.25965 0.005486          
279 2.79 11.904 0.25708903 0.252019 0.254554 0.005378          
280 2.8 11.94667 0.25201944 0.247003 0.249511 0.005272          
281 2.81 11.98933 0.2470031 0.242041 0.244522 0.005166          
282 2.82 12.032 0.24204068 0.237133 0.239587 0.005062          
283 2.83 12.07467 0.23713284 0.23228 0.234707 0.004959          
284 2.84 12.11733 0.23228017 0.227483 0.229882 0.004857          
285 2.85 12.16 0.22748327 0.222743 0.225113 0.004756          
286 2.86 12.20267 0.22274267 0.218059 0.220401 0.004657          
287 2.87 12.24533 0.21805888 0.213432 0.215746 0.004558          
288 2.88 12.288 0.21343238 0.208864 0.211148 0.004461          
289 2.89 12.33067 0.20886361 0.204353 0.206608 0.004365          
290 2.9 12.37333 0.20435297 0.199901 0.202127 0.004271          
291 2.91 12.416 0.19990083 0.195508 0.197704 0.004177          
292 2.92 12.45867 0.19550754 0.191173 0.19334 0.004085          
293 2.93 12.50133 0.1911734 0.186899 0.189036 0.003994          
294 2.94 12.544 0.18689868 0.182684 0.184791 0.003904          
295 2.95 12.58667 0.18268361 0.178528 0.180606 0.003816          
296 2.96 12.62933 0.17852841 0.174433 0.176481 0.003729          
297 2.97 12.672 0.17443324 0.170398 0.172416 0.003643          
298 2.98 12.71467 0.17039825 0.166424 0.168411 0.003558          
299 2.99 12.75733 0.16642355 0.162509 0.164466 0.003475          
300 3 12.8 0.1625092 0.158655 0.160582 0.003393          
        SUM   11.2288          

 

FHWA-HRT-05-138

 

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