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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 Bicyclist

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)= 4.8535
Qo= 85.47 vph   Ko=   6.677344 veh/mile        
MU 12.80 mph   No=   20  veh        
SIGMA 3.40 mph   ALPHAO= 0.1498 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 37.94   PER HOUR= 161.88
        STANDARD DEVIATION= 6.16     1
        DETERMINISTIC  EQUATION= 40.06      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       20.03203          
1 0.01 0.042667 0.9999166 0.999912 0.999914 0.066768          
2 0.02 0.085333 0.99991231 0.999908 0.99991 0.066767          
3 0.03 0.128 0.99990782 0.999903 0.999905 0.066767          
4 0.04 0.170667 0.99990311 0.999898 0.999901 0.066767          
5 0.05 0.213333 0.99989817 0.999893 0.999896 0.066766          
6 0.06 0.256 0.999893 0.999888 0.99989 0.066766          
7 0.07 0.298667 0.99988758 0.999882 0.999885 0.066766          
8 0.08 0.341333 0.99988191 0.999876 0.999879 0.066765          
9 0.09 0.384 0.99987597 0.99987 0.999873 0.066765          
10 0.1 0.426667 0.99986974 0.999863 0.999866 0.066765          
11 0.11 0.469333 0.99986323 0.999856 0.99986 0.066764          
12 0.12 0.512 0.99985641 0.999849 0.999853 0.066764          
13 0.13 0.554667 0.99984928 0.999842 0.999846 0.066763          
14 0.14 0.597333 0.99984181 0.999834 0.999838 0.066763          
15 0.15 0.64 0.999834 0.999826 0.99983 0.066762          
16 0.16 0.682667 0.99982583 0.999817 0.999822 0.066762          
17 0.17 0.725333 0.99981728 0.999808 0.999813 0.066761          
18 0.18 0.768 0.99980835 0.999799 0.999804 0.06676          
19 0.19 0.810667 0.999799 0.999789 0.999794 0.06676          
20 0.2 0.853333 0.99978923 0.999779 0.999784 0.066759          
21 0.21 0.896 0.99977902 0.999768 0.999774 0.066758          
22 0.22 0.938667 0.99976835 0.999757 0.999763 0.066758          
23 0.23 0.981333 0.9997572 0.999746 0.999751 0.066757          
24 0.24 1.024 0.99974555 0.999733 0.999739 0.066756          
25 0.25 1.066667 0.99973338 0.999721 0.999727 0.066755          
26 0.26 1.109333 0.99972068 0.999707 0.999714 0.066754          
27 0.27 1.152 0.9997074 0.999694 0.9997 0.066753          
28 0.28 1.194667 0.99969355 0.999679 0.999686 0.066752          
29 0.29 1.237333 0.99967908 0.999664 0.999672 0.066752          
30 0.3 1.28 0.99966398 0.999648 0.999656 0.06675          
31 0.31 1.322667 0.99964823 0.999632 0.99964 0.066749          
32 0.32 1.365333 0.99963179 0.999615 0.999623 0.066748          
33 0.33 1.408 0.99961464 0.999597 0.999606 0.066747          
34 0.34 1.450667 0.99959674 0.999578 0.999587 0.066746          
35 0.35 1.493333 0.99957808 0.999559 0.999568 0.066745          
36 0.36 1.536 0.99955863 0.999538 0.999548 0.066743          
37 0.37 1.578667 0.99953834 0.999517 0.999528 0.066742          
38 0.38 1.621333 0.99951719 0.999495 0.999506 0.06674          
39 0.39 1.664 0.99949515 0.999472 0.999484 0.066739          
40 0.4 1.706667 0.99947218 0.999448 0.99946 0.066737          
41 0.41 1.749333 0.99944825 0.999423 0.999436 0.066736          
42 0.42 1.792 0.99942331 0.999397 0.99941 0.066734          
43 0.43 1.834667 0.99939734 0.99937 0.999384 0.066732          
44 0.44 1.877333 0.99937029 0.999342 0.999356 0.06673          
45 0.45 1.92 0.99934212 0.999313 0.999327 0.066729          
46 0.46 1.962667 0.9993128 0.999282 0.999298 0.066727          
47 0.47 2.005333 0.99928227 0.99925 0.999266 0.066724          
48 0.48 2.048 0.9992505 0.999217 0.999234 0.066722          
49 0.49 2.090667 0.99921744 0.999183 0.9992 0.06672          
50 0.5 2.133333 0.99918303 0.999147 0.999165 0.066718          
51 0.51 2.176 0.99914724 0.99911 0.999129 0.066715          
52 0.52 2.218667 0.99911002 0.999071 0.999091 0.066713          
53 0.53 2.261333 0.9990713 0.999031 0.999051 0.06671          
54 0.54 2.304 0.99903105 0.998989 0.99901 0.066707          
55 0.55 2.346667 0.99898919 0.998946 0.998967 0.066704          
56 0.56 2.389333 0.99894569 0.9989 0.998923 0.066702          
57 0.57 2.432 0.99890047 0.998853 0.998877 0.066698          
58 0.58 2.474667 0.99885348 0.998805 0.998829 0.066695          
59 0.59 2.517333 0.99880466 0.998754 0.998779 0.066692          
60 0.6 2.56 0.99875394 0.998701 0.998728 0.066688          
61 0.61 2.602667 0.99870126 0.998647 0.998674 0.066685          
62 0.62 2.645333 0.99864655 0.99859 0.998618 0.066681          
63 0.63 2.688 0.99858975 0.998531 0.99856 0.066677          
64 0.64 2.730667 0.99853077 0.99847 0.9985 0.066673          
65 0.65 2.773333 0.99846955 0.998406 0.998438 0.066669          
66 0.66 2.816 0.99840601 0.99834 0.998373 0.066665          
67 0.67 2.858667 0.99834008 0.998272 0.998306 0.06666          
68 0.68 2.901333 0.99827167 0.998201 0.998236 0.066656          
69 0.69 2.944 0.99820071 0.998127 0.998164 0.066651          
70 0.7 2.986667 0.9981271 0.998051 0.998089 0.066646          
71 0.71 3.029333 0.99805077 0.997972 0.998011 0.066641          
72 0.72 3.072 0.99797163 0.99789 0.997931 0.066635          
73 0.73 3.114667 0.99788957 0.997805 0.997847 0.06663          
74 0.74 3.157333 0.99780452 0.997716 0.99776 0.066624          
75 0.75 3.2 0.99771638 0.997625 0.997671 0.066618          
76 0.76 3.242667 0.99762503 0.99753 0.997578 0.066612          
77 0.77 3.285333 0.9975304 0.997432 0.997481 0.066605          
78 0.78 3.328 0.99743237 0.997331 0.997382 0.066599          
79 0.79 3.370667 0.99733083 0.997226 0.997278 0.066592          
80 0.8 3.413333 0.99722568 0.997117 0.997171 0.066585          
81 0.81 3.456 0.99711681 0.997004 0.99706 0.066577          
82 0.82 3.498667 0.9970041 0.996887 0.996946 0.066569          
83 0.83 3.541333 0.99688743 0.996767 0.996827 0.066562          
84 0.84 3.584 0.99676669 0.996642 0.996704 0.066553          
85 0.85 3.626667 0.99664175 0.996512 0.996577 0.066545          
86 0.86 3.669333 0.99651249 0.996379 0.996446 0.066536          
87 0.87 3.712 0.99637878 0.99624 0.99631 0.066527          
88 0.88 3.754667 0.99624048 0.996097 0.996169 0.066518          
89 0.89 3.797333 0.99609747 0.99595 0.996024 0.066508          
90 0.9 3.84 0.9959496 0.995797 0.995873 0.066498          
91 0.91 3.882667 0.99579674 0.995639 0.995718 0.066487          
92 0.92 3.925333 0.99563874 0.995475 0.995557 0.066477          
93 0.93 3.968 0.99547545 0.995307 0.995391 0.066466          
94 0.94 4.010667 0.99530672 0.995132 0.99522 0.066454          
95 0.95 4.053333 0.9951324 0.994952 0.995042 0.066442          
96 0.96 4.096 0.99495234 0.994766 0.994859 0.06643          
97 0.97 4.138667 0.99476637 0.994574 0.99467 0.066418          
98 0.98 4.181333 0.99457432 0.994376 0.994475 0.066405          
99 0.99 4.224 0.99437604 0.994171 0.994274 0.066391          
100 1 4.266667 0.99417135 0.99396 0.994066 0.066377          
101 1.01 4.309333 0.99396007 0.993742 0.993851 0.066363          
102 1.02 4.352 0.99374204 0.993517 0.99363 0.066348          
103 1.03 4.394667 0.99351706 0.993285 0.993401 0.066333          
104 1.04 4.437333 0.99328496 0.993046 0.993165 0.066317          
105 1.05 4.48 0.99304555 0.992799 0.992922 0.066301          
106 1.06 4.522667 0.99279863 0.992544 0.992671 0.066284          
107 1.07 4.565333 0.99254401 0.992281 0.992413 0.066267          
108 1.08 4.608 0.99228149 0.992011 0.992146 0.066249          
109 1.09 4.650667 0.99201088 0.991732 0.991871 0.066231          
110 1.1 4.693333 0.99173195 0.991445 0.991588 0.066212          
111 1.11 4.736 0.99144451 0.991148 0.991296 0.066192          
112 1.12 4.778667 0.99114833 0.990843 0.990996 0.066172          
113 1.13 4.821333 0.99084321 0.990529 0.990686 0.066152          
114 1.14 4.864 0.99052892 0.990205 0.990367 0.06613          
115 1.15 4.906667 0.99020524 0.989872 0.990039 0.066108          
116 1.16 4.949333 0.98987194 0.989529 0.9897 0.066086          
117 1.17 4.992 0.98952878 0.989176 0.989352 0.066062          
118 1.18 5.034667 0.98917554 0.988812 0.988994 0.066039          
119 1.19 5.077333 0.98881196 0.988438 0.988625 0.066014          
120 1.2 5.12 0.98843782 0.988053 0.988245 0.065989          
121 1.21 5.162667 0.98805286 0.987657 0.987855 0.065962          
122 1.22 5.205333 0.98765682 0.987249 0.987453 0.065936          
123 1.23 5.248 0.98724947 0.986831 0.98704 0.065908          
124 1.24 5.290667 0.98683054 0.9864 0.986615 0.06588          
125 1.25 5.333333 0.98639976 0.985957 0.986178 0.065851          
126 1.26 5.376 0.98595688 0.985502 0.985729 0.065821          
127 1.27 5.418667 0.98550163 0.985034 0.985268 0.06579          
128 1.28 5.461333 0.98503373 0.984553 0.984793 0.065758          
129 1.29 5.504 0.9845529 0.984059 0.984306 0.065725          
130 1.3 5.546667 0.98405887 0.983551 0.983805 0.065692          
131 1.31 5.589333 0.98355136 0.98303 0.983291 0.065658          
132 1.32 5.632 0.98303008 0.982495 0.982762 0.065622          
133 1.33 5.674667 0.98249474 0.981945 0.98222 0.065586          
134 1.34 5.717333 0.98194505 0.981381 0.981663 0.065549          
135 1.35 5.76 0.98138071 0.980801 0.981091 0.065511          
136 1.36 5.802667 0.98080142 0.980207 0.980504 0.065472          
137 1.37 5.845333 0.98020688 0.979597 0.979902 0.065431          
138 1.38 5.888 0.97959679 0.978971 0.979284 0.06539          
139 1.39 5.930667 0.97897084 0.978329 0.97865 0.065348          
140 1.4 5.973333 0.97832871 0.97767 0.977999 0.065304          
141 1.41 6.016 0.97767009 0.976995 0.977332 0.06526          
142 1.42 6.058667 0.97699466 0.976302 0.976648 0.065214          
143 1.43 6.101333 0.97630212 0.975592 0.975947 0.065167          
144 1.44 6.144 0.97559212 0.974864 0.975228 0.065119          
145 1.45 6.186667 0.97486435 0.974118 0.974491 0.06507          
146 1.46 6.229333 0.97411848 0.973354 0.973736 0.06502          
147 1.47 6.272 0.97335418 0.972571 0.972963 0.064968          
148 1.48 6.314667 0.97257112 0.971769 0.97217 0.064915          
149 1.49 6.357333 0.97176896 0.970947 0.971358 0.064861          
150 1.5 6.4 0.97094737 0.970106 0.970527 0.064805          
151 1.51 6.442667 0.97010601 0.969245 0.969675 0.064749          
152 1.52 6.485333 0.96924454 0.968363 0.968804 0.06469          
153 1.53 6.528 0.96836261 0.96746 0.967911 0.064631          
154 1.54 6.570667 0.96745989 0.966536 0.966998 0.06457          
155 1.55 6.613333 0.96653603 0.965591 0.966063 0.064507          
156 1.56 6.656 0.96559068 0.964624 0.965107 0.064444          
157 1.57 6.698667 0.9646235 0.963634 0.964129 0.064378          
158 1.58 6.741333 0.96363413 0.962622 0.963128 0.064311          
159 1.59 6.784 0.96262224 0.961587 0.962105 0.064243          
160 1.6 6.826667 0.96158746 0.960529 0.961058 0.064173          
161 1.61 6.869333 0.96052944 0.959448 0.959989 0.064102          
162 1.62 6.912 0.95944784 0.958342 0.958895 0.064029          
163 1.63 6.954667 0.95834231 0.957212 0.957777 0.063954          
164 1.64 6.997333 0.95721248 0.956058 0.956635 0.063878          
165 1.65 7.04 0.95605802 0.954879 0.955468 0.0638          
166 1.66 7.082667 0.95487856 0.953674 0.954276 0.06372          
167 1.67 7.125333 0.95367377 0.952443 0.953059 0.063639          
168 1.68 7.168 0.95244328 0.951187 0.951815 0.063556          
169 1.69 7.210667 0.95118674 0.949904 0.950545 0.063471          
170 1.7 7.253333 0.94990381 0.948594 0.949249 0.063385          
171 1.71 7.296 0.94859414 0.947257 0.947926 0.063296          
172 1.72 7.338667 0.94725739 0.945893 0.946575 0.063206          
173 1.73 7.381333 0.9458932 0.944501 0.945197 0.063114          
174 1.74 7.424 0.94450123 0.943081 0.943791 0.06302          
175 1.75 7.466667 0.94308115 0.941633 0.942357 0.062924          
176 1.76 7.509333 0.94163261 0.940155 0.940894 0.062827          
177 1.77 7.552 0.94015527 0.938649 0.939402 0.062727          
178 1.78 7.594667 0.9386488 0.937113 0.937881 0.062626          
179 1.79 7.637333 0.93711286 0.935547 0.93633 0.062522          
180 1.8 7.68 0.93554713 0.933951 0.934749 0.062416          
181 1.81 7.722667 0.93395129 0.932325 0.933138 0.062309          
182 1.82 7.765333 0.93232499 0.930668 0.931496 0.062199          
183 1.83 7.808 0.93066794 0.92898 0.929824 0.062088          
184 1.84 7.850667 0.9289798 0.92726 0.92812 0.061974          
185 1.85 7.893333 0.92726028 0.925509 0.926385 0.061858          
186 1.86 7.936 0.92550905 0.923726 0.924617 0.06174          
187 1.87 7.978667 0.92372582 0.92191 0.922818 0.06162          
188 1.88 8.021333 0.92191029 0.920062 0.920986 0.061497          
189 1.89 8.064 0.92006217 0.918181 0.919122 0.061373          
190 1.9 8.106667 0.91818116 0.916267 0.917224 0.061246          
191 1.91 8.149333 0.91626698 0.914319 0.915293 0.061117          
192 1.92 8.192 0.91431935 0.912338 0.913329 0.060986          
193 1.93 8.234667 0.91233801 0.910323 0.91133 0.060853          
194 1.94 8.277333 0.91032268 0.908273 0.909298 0.060717          
195 1.95 8.32 0.9082731 0.906189 0.907231 0.060579          
196 1.96 8.362667 0.90618902 0.90407 0.90513 0.060439          
197 1.97 8.405333 0.9040702 0.901916 0.902993 0.060296          
198 1.98 8.448 0.90191639 0.899727 0.900822 0.060151          
199 1.99 8.490667 0.89972737 0.897503 0.898615 0.060004          
200 2 8.533333 0.89750289 0.895243 0.896373 0.059854          
201 2.01 8.576 0.89524276 0.892947 0.894095 0.059702          
202 2.02 8.618667 0.89294675 0.890615 0.891781 0.059547          
203 2.03 8.661333 0.89061467 0.888246 0.88943 0.05939          
204 2.04 8.704 0.88824631 0.885842 0.887044 0.059231          
205 2.05 8.746667 0.88584151 0.8834 0.884621 0.059069          
206 2.06 8.789333 0.88340007 0.880922 0.882161 0.058905          
207 2.07 8.832 0.88092183 0.878407 0.879664 0.058738          
208 2.08 8.874667 0.87840664 0.875854 0.87713 0.058569          
209 2.09 8.917333 0.87585434 0.873265 0.87456 0.058397          
210 2.1 8.96 0.87326479 0.870638 0.871951 0.058223          
211 2.11 9.002667 0.87063787 0.867973 0.869306 0.058047          
212 2.12 9.045333 0.86797345 0.865271 0.866622 0.057867          
213 2.13 9.088 0.86527142 0.862532 0.863902 0.057686          
214 2.14 9.130667 0.86253169 0.859754 0.861143 0.057501          
215 2.15 9.173333 0.85975417 0.856939 0.858346 0.057315          
216 2.16 9.216 0.85693878 0.854085 0.855512 0.057125          
217 2.17 9.258667 0.85408545 0.851194 0.85264 0.056934          
218 2.18 9.301333 0.85119412 0.848265 0.849729 0.056739          
219 2.19 9.344 0.84826475 0.845297 0.846781 0.056542          
220 2.2 9.386667 0.84529731 0.842292 0.843795 0.056343          
221 2.21 9.429333 0.84229178 0.839248 0.84077 0.056141          
222 2.22 9.472 0.83924815 0.836166 0.837707 0.055937          
223 2.23 9.514667 0.83616641 0.833047 0.834607 0.05573          
224 2.24 9.557333 0.83304659 0.829889 0.831468 0.05552          
225 2.25 9.6 0.82988871 0.826693 0.828291 0.055308          
226 2.26 9.642667 0.8266928 0.823459 0.825076 0.055093          
227 2.27 9.685333 0.82345893 0.820187 0.821823 0.054876          
228 2.28 9.728 0.82018715 0.816878 0.818532 0.054656          
229 2.29 9.770667 0.81687754 0.81353 0.815204 0.054434          
230 2.3 9.813333 0.81353019 0.810145 0.811838 0.054209          
231 2.31 9.856 0.81014521 0.806723 0.808434 0.053982          
232 2.32 9.898667 0.80672271 0.803263 0.804993 0.053752          
233 2.33 9.941333 0.80326281 0.799766 0.801514 0.05352          
234 2.34 9.984 0.79976567 0.796231 0.797999 0.053285          
235 2.35 10.02667 0.79623143 0.79266 0.794446 0.053048          
236 2.36 10.06933 0.79266027 0.789052 0.790856 0.052808          
237 2.37 10.112 0.78905236 0.785408 0.78723 0.052566          
238 2.38 10.15467 0.78540791 0.781727 0.783568 0.052321          
239 2.39 10.19733 0.78172712 0.77801 0.779869 0.052075          
240 2.4 10.24 0.77801022 0.774257 0.776134 0.051825          
241 2.41 10.28267 0.77425744 0.770469 0.772363 0.051573          
242 2.42 10.32533 0.77046904 0.766645 0.768557 0.051319          
243 2.43 10.368 0.76664527 0.762786 0.764716 0.051063          
244 2.44 10.41067 0.76278641 0.758893 0.76084 0.050804          
245 2.45 10.45333 0.75889277 0.754965 0.756929 0.050543          
246 2.46 10.496 0.75496463 0.751002 0.752983 0.050279          
247 2.47 10.53867 0.75100232 0.747006 0.749004 0.050014          
248 2.48 10.58133 0.74700618 0.742977 0.744991 0.049746          
249 2.49 10.624 0.74297654 0.738914 0.740945 0.049475          
250 2.5 10.66667 0.73891377 0.734818 0.736866 0.049203          
251 2.51 10.70933 0.73481823 0.73069 0.732754 0.048929          
252 2.52 10.752 0.73069032 0.72653 0.72861 0.048652          
253 2.53 10.79467 0.72653044 0.722339 0.724435 0.048373          
254 2.54 10.83733 0.72233899 0.718116 0.720228 0.048092          
255 2.55 10.88 0.71811641 0.713863 0.71599 0.047809          
256 2.56 10.92267 0.71386312 0.70958 0.711721 0.047524          
257 2.57 10.96533 0.70957959 0.705266 0.707423 0.047237          
258 2.58 11.008 0.70526627 0.700924 0.703095 0.046948          
259 2.59 11.05067 0.70092365 0.696552 0.698738 0.046657          
260 2.6 11.09333 0.69655221 0.692152 0.694352 0.046364          
261 2.61 11.136 0.69215245 0.687725 0.689939 0.04607          
262 2.62 11.17867 0.6877249 0.68327 0.685497 0.045773          
263 2.63 11.22133 0.68327006 0.678788 0.681029 0.045475          
264 2.64 11.264 0.67878849 0.674281 0.676535 0.045175          
265 2.65 11.30667 0.67428073 0.669747 0.672014 0.044873          
266 2.66 11.34933 0.66974734 0.665189 0.667468 0.044569          
267 2.67 11.392 0.6651889 0.660606 0.662897 0.044264          
268 2.68 11.43467 0.66060599 0.655999 0.658303 0.043957          
269 2.69 11.47733 0.65599919 0.651369 0.653684 0.043649          
270 2.7 11.52 0.65136913 0.646716 0.649043 0.043339          
271 2.71 11.56267 0.64671641 0.642042 0.644379 0.043027          
272 2.72 11.60533 0.64204165 0.637346 0.639694 0.042715          
273 2.73 11.648 0.6373455 0.632629 0.634987 0.0424          
274 2.74 11.69067 0.6326286 0.627892 0.63026 0.042085          
275 2.75 11.73333 0.6278916 0.623135 0.625513 0.041768          
276 2.76 11.776 0.62313517 0.61836 0.620748 0.041449          
277 2.77 11.81867 0.61835997 0.613567 0.615963 0.04113          
278 2.78 11.86133 0.61356669 0.608756 0.611161 0.040809          
279 2.79 11.904 0.60875603 0.603929 0.606342 0.040488          
280 2.8 11.94667 0.60392866 0.599085 0.601507 0.040165          
281 2.81 11.98933 0.59908531 0.594227 0.596656 0.039841          
282 2.82 12.032 0.59422668 0.589353 0.59179 0.039516          
283 2.83 12.07467 0.5893535 0.584466 0.58691 0.03919          
284 2.84 12.11733 0.58446648 0.579566 0.582016 0.038863          
285 2.85 12.16 0.57956636 0.574654 0.57711 0.038536          
286 2.86 12.20267 0.57465388 0.56973 0.572192 0.038207          
287 2.87 12.24533 0.56972979 0.564795 0.567262 0.037878          
288 2.88 12.288 0.56479482 0.55985 0.562322 0.037548          
289 2.89 12.33067 0.55984975 0.554895 0.557373 0.037218          
290 2.9 12.37333 0.55489532 0.549932 0.552414 0.036887          
291 2.91 12.416 0.5499323 0.544961 0.547447 0.036555          
292 2.92 12.45867 0.54496145 0.539984 0.542473 0.036223          
293 2.93 12.50133 0.53998356 0.534999 0.537491 0.03589          
294 2.94 12.544 0.53499939 0.53001 0.532505 0.035557          
295 2.95 12.58667 0.53000972 0.525015 0.527513 0.035224          
296 2.96 12.62933 0.52501533 0.520017 0.522516 0.03489          
297 2.97 12.672 0.520017 0.515016 0.517516 0.034556          
298 2.98 12.71467 0.51501552 0.510012 0.512514 0.034222          
299 2.99 12.75733 0.51001167 0.505006 0.507509 0.033888          
300 3 12.8 0.50500623 0.5 0.502503 0.033554          
        SUM   37.94136          

 

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)= 4.8535
Qo= 80.85 vph   Ko=   6.316406 veh/mile        
MU 12.80 mph   No=   19  veh        
SIGMA 3.40 mph   ALPHAO= 0.1583 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 35.89   PER HOUR= 153.13
        STANDARD DEVIATION= 5.99     2
        DETERMINISTIC  EQUATION= 37.90      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       18.94922          
1 0.01 0.042667 0.9999166 0.999912 0.999914 0.063159          
2 0.02 0.085333 0.99991231 0.999908 0.99991 0.063158          
3 0.03 0.128 0.99990782 0.999903 0.999905 0.063158          
4 0.04 0.170667 0.99990311 0.999898 0.999901 0.063158          
5 0.05 0.213333 0.99989817 0.999893 0.999896 0.063157          
6 0.06 0.256 0.999893 0.999888 0.99989 0.063157          
7 0.07 0.298667 0.99988758 0.999882 0.999885 0.063157          
8 0.08 0.341333 0.99988191 0.999876 0.999879 0.063156          
9 0.09 0.384 0.99987597 0.99987 0.999873 0.063156          
10 0.1 0.426667 0.99986974 0.999863 0.999866 0.063156          
11 0.11 0.469333 0.99986323 0.999856 0.99986 0.063155          
12 0.12 0.512 0.99985641 0.999849 0.999853 0.063155          
13 0.13 0.554667 0.99984928 0.999842 0.999846 0.063154          
14 0.14 0.597333 0.99984181 0.999834 0.999838 0.063154          
15 0.15 0.64 0.999834 0.999826 0.99983 0.063153          
16 0.16 0.682667 0.99982583 0.999817 0.999822 0.063153          
17 0.17 0.725333 0.99981728 0.999808 0.999813 0.063152          
18 0.18 0.768 0.99980835 0.999799 0.999804 0.063152          
19 0.19 0.810667 0.999799 0.999789 0.999794 0.063151          
20 0.2 0.853333 0.99978923 0.999779 0.999784 0.06315          
21 0.21 0.896 0.99977902 0.999768 0.999774 0.06315          
22 0.22 0.938667 0.99976835 0.999757 0.999763 0.063149          
23 0.23 0.981333 0.9997572 0.999746 0.999751 0.063148          
24 0.24 1.024 0.99974555 0.999733 0.999739 0.063148          
25 0.25 1.066667 0.99973338 0.999721 0.999727 0.063147          
26 0.26 1.109333 0.99972068 0.999707 0.999714 0.063146          
27 0.27 1.152 0.9997074 0.999694 0.9997 0.063145          
28 0.28 1.194667 0.99969355 0.999679 0.999686 0.063144          
29 0.29 1.237333 0.99967908 0.999664 0.999672 0.063143          
30 0.3 1.28 0.99966398 0.999648 0.999656 0.063142          
31 0.31 1.322667 0.99964823 0.999632 0.99964 0.063141          
32 0.32 1.365333 0.99963179 0.999615 0.999623 0.06314          
33 0.33 1.408 0.99961464 0.999597 0.999606 0.063139          
34 0.34 1.450667 0.99959674 0.999578 0.999587 0.063138          
35 0.35 1.493333 0.99957808 0.999559 0.999568 0.063137          
36 0.36 1.536 0.99955863 0.999538 0.999548 0.063136          
37 0.37 1.578667 0.99953834 0.999517 0.999528 0.063134          
38 0.38 1.621333 0.99951719 0.999495 0.999506 0.063133          
39 0.39 1.664 0.99949515 0.999472 0.999484 0.063131          
40 0.4 1.706667 0.99947218 0.999448 0.99946 0.06313          
41 0.41 1.749333 0.99944825 0.999423 0.999436 0.063128          
42 0.42 1.792 0.99942331 0.999397 0.99941 0.063127          
43 0.43 1.834667 0.99939734 0.99937 0.999384 0.063125          
44 0.44 1.877333 0.99937029 0.999342 0.999356 0.063123          
45 0.45 1.92 0.99934212 0.999313 0.999327 0.063122          
46 0.46 1.962667 0.9993128 0.999282 0.999298 0.06312          
47 0.47 2.005333 0.99928227 0.99925 0.999266 0.063118          
48 0.48 2.048 0.9992505 0.999217 0.999234 0.063116          
49 0.49 2.090667 0.99921744 0.999183 0.9992 0.063114          
50 0.5 2.133333 0.99918303 0.999147 0.999165 0.063111          
51 0.51 2.176 0.99914724 0.99911 0.999129 0.063109          
52 0.52 2.218667 0.99911002 0.999071 0.999091 0.063107          
53 0.53 2.261333 0.9990713 0.999031 0.999051 0.063104          
54 0.54 2.304 0.99903105 0.998989 0.99901 0.063102          
55 0.55 2.346667 0.99898919 0.998946 0.998967 0.063099          
56 0.56 2.389333 0.99894569 0.9989 0.998923 0.063096          
57 0.57 2.432 0.99890047 0.998853 0.998877 0.063093          
58 0.58 2.474667 0.99885348 0.998805 0.998829 0.06309          
59 0.59 2.517333 0.99880466 0.998754 0.998779 0.063087          
60 0.6 2.56 0.99875394 0.998701 0.998728 0.063084          
61 0.61 2.602667 0.99870126 0.998647 0.998674 0.06308          
62 0.62 2.645333 0.99864655 0.99859 0.998618 0.063077          
63 0.63 2.688 0.99858975 0.998531 0.99856 0.063073          
64 0.64 2.730667 0.99853077 0.99847 0.9985 0.063069          
65 0.65 2.773333 0.99846955 0.998406 0.998438 0.063065          
66 0.66 2.816 0.99840601 0.99834 0.998373 0.063061          
67 0.67 2.858667 0.99834008 0.998272 0.998306 0.063057          
68 0.68 2.901333 0.99827167 0.998201 0.998236 0.063053          
69 0.69 2.944 0.99820071 0.998127 0.998164 0.063048          
70 0.7 2.986667 0.9981271 0.998051 0.998089 0.063043          
71 0.71 3.029333 0.99805077 0.997972 0.998011 0.063038          
72 0.72 3.072 0.99797163 0.99789 0.997931 0.063033          
73 0.73 3.114667 0.99788957 0.997805 0.997847 0.063028          
74 0.74 3.157333 0.99780452 0.997716 0.99776 0.063023          
75 0.75 3.2 0.99771638 0.997625 0.997671 0.063017          
76 0.76 3.242667 0.99762503 0.99753 0.997578 0.063011          
77 0.77 3.285333 0.9975304 0.997432 0.997481 0.063005          
78 0.78 3.328 0.99743237 0.997331 0.997382 0.062999          
79 0.79 3.370667 0.99733083 0.997226 0.997278 0.062992          
80 0.8 3.413333 0.99722568 0.997117 0.997171 0.062985          
81 0.81 3.456 0.99711681 0.997004 0.99706 0.062978          
82 0.82 3.498667 0.9970041 0.996887 0.996946 0.062971          
83 0.83 3.541333 0.99688743 0.996767 0.996827 0.062964          
84 0.84 3.584 0.99676669 0.996642 0.996704 0.062956          
85 0.85 3.626667 0.99664175 0.996512 0.996577 0.062948          
86 0.86 3.669333 0.99651249 0.996379 0.996446 0.06294          
87 0.87 3.712 0.99637878 0.99624 0.99631 0.062931          
88 0.88 3.754667 0.99624048 0.996097 0.996169 0.062922          
89 0.89 3.797333 0.99609747 0.99595 0.996024 0.062913          
90 0.9 3.84 0.9959496 0.995797 0.995873 0.062903          
91 0.91 3.882667 0.99579674 0.995639 0.995718 0.062894          
92 0.92 3.925333 0.99563874 0.995475 0.995557 0.062883          
93 0.93 3.968 0.99547545 0.995307 0.995391 0.062873          
94 0.94 4.010667 0.99530672 0.995132 0.99522 0.062862          
95 0.95 4.053333 0.9951324 0.994952 0.995042 0.062851          
96 0.96 4.096 0.99495234 0.994766 0.994859 0.062839          
97 0.97 4.138667 0.99476637 0.994574 0.99467 0.062827          
98 0.98 4.181333 0.99457432 0.994376 0.994475 0.062815          
99 0.99 4.224 0.99437604 0.994171 0.994274 0.062802          
100 1 4.266667 0.99417135 0.99396 0.994066 0.062789          
101 1.01 4.309333 0.99396007 0.993742 0.993851 0.062776          
102 1.02 4.352 0.99374204 0.993517 0.99363 0.062762          
103 1.03 4.394667 0.99351706 0.993285 0.993401 0.062747          
104 1.04 4.437333 0.99328496 0.993046 0.993165 0.062732          
105 1.05 4.48 0.99304555 0.992799 0.992922 0.062717          
106 1.06 4.522667 0.99279863 0.992544 0.992671 0.062701          
107 1.07 4.565333 0.99254401 0.992281 0.992413 0.062685          
108 1.08 4.608 0.99228149 0.992011 0.992146 0.062668          
109 1.09 4.650667 0.99201088 0.991732 0.991871 0.062651          
110 1.1 4.693333 0.99173195 0.991445 0.991588 0.062633          
111 1.11 4.736 0.99144451 0.991148 0.991296 0.062614          
112 1.12 4.778667 0.99114833 0.990843 0.990996 0.062595          
113 1.13 4.821333 0.99084321 0.990529 0.990686 0.062576          
114 1.14 4.864 0.99052892 0.990205 0.990367 0.062556          
115 1.15 4.906667 0.99020524 0.989872 0.990039 0.062535          
116 1.16 4.949333 0.98987194 0.989529 0.9897 0.062513          
117 1.17 4.992 0.98952878 0.989176 0.989352 0.062492          
118 1.18 5.034667 0.98917554 0.988812 0.988994 0.062469          
119 1.19 5.077333 0.98881196 0.988438 0.988625 0.062446          
120 1.2 5.12 0.98843782 0.988053 0.988245 0.062422          
121 1.21 5.162667 0.98805286 0.987657 0.987855 0.062397          
122 1.22 5.205333 0.98765682 0.987249 0.987453 0.062372          
123 1.23 5.248 0.98724947 0.986831 0.98704 0.062345          
124 1.24 5.290667 0.98683054 0.9864 0.986615 0.062319          
125 1.25 5.333333 0.98639976 0.985957 0.986178 0.062291          
126 1.26 5.376 0.98595688 0.985502 0.985729 0.062263          
127 1.27 5.418667 0.98550163 0.985034 0.985268 0.062234          
128 1.28 5.461333 0.98503373 0.984553 0.984793 0.062204          
129 1.29 5.504 0.9845529 0.984059 0.984306 0.062173          
130 1.3 5.546667 0.98405887 0.983551 0.983805 0.062141          
131 1.31 5.589333 0.98355136 0.98303 0.983291 0.062109          
132 1.32 5.632 0.98303008 0.982495 0.982762 0.062075          
133 1.33 5.674667 0.98249474 0.981945 0.98222 0.062041          
134 1.34 5.717333 0.98194505 0.981381 0.981663 0.062006          
135 1.35 5.76 0.98138071 0.980801 0.981091 0.06197          
136 1.36 5.802667 0.98080142 0.980207 0.980504 0.061933          
137 1.37 5.845333 0.98020688 0.979597 0.979902 0.061895          
138 1.38 5.888 0.97959679 0.978971 0.979284 0.061856          
139 1.39 5.930667 0.97897084 0.978329 0.97865 0.061815          
140 1.4 5.973333 0.97832871 0.97767 0.977999 0.061774          
141 1.41 6.016 0.97767009 0.976995 0.977332 0.061732          
142 1.42 6.058667 0.97699466 0.976302 0.976648 0.061689          
143 1.43 6.101333 0.97630212 0.975592 0.975947 0.061645          
144 1.44 6.144 0.97559212 0.974864 0.975228 0.061599          
145 1.45 6.186667 0.97486435 0.974118 0.974491 0.061553          
146 1.46 6.229333 0.97411848 0.973354 0.973736 0.061505          
147 1.47 6.272 0.97335418 0.972571 0.972963 0.061456          
148 1.48 6.314667 0.97257112 0.971769 0.97217 0.061406          
149 1.49 6.357333 0.97176896 0.970947 0.971358 0.061355          
150 1.5 6.4 0.97094737 0.970106 0.970527 0.061302          
151 1.51 6.442667 0.97010601 0.969245 0.969675 0.061249          
152 1.52 6.485333 0.96924454 0.968363 0.968804 0.061194          
153 1.53 6.528 0.96836261 0.96746 0.967911 0.061137          
154 1.54 6.570667 0.96745989 0.966536 0.966998 0.06108          
155 1.55 6.613333 0.96653603 0.965591 0.966063 0.06102          
156 1.56 6.656 0.96559068 0.964624 0.965107 0.06096          
157 1.57 6.698667 0.9646235 0.963634 0.964129 0.060898          
158 1.58 6.741333 0.96363413 0.962622 0.963128 0.060835          
159 1.59 6.784 0.96262224 0.961587 0.962105 0.06077          
160 1.6 6.826667 0.96158746 0.960529 0.961058 0.060704          
161 1.61 6.869333 0.96052944 0.959448 0.959989 0.060637          
162 1.62 6.912 0.95944784 0.958342 0.958895 0.060568          
163 1.63 6.954667 0.95834231 0.957212 0.957777 0.060497          
164 1.64 6.997333 0.95721248 0.956058 0.956635 0.060425          
165 1.65 7.04 0.95605802 0.954879 0.955468 0.060351          
166 1.66 7.082667 0.95487856 0.953674 0.954276 0.060276          
167 1.67 7.125333 0.95367377 0.952443 0.953059 0.060199          
168 1.68 7.168 0.95244328 0.951187 0.951815 0.060121          
169 1.69 7.210667 0.95118674 0.949904 0.950545 0.06004          
170 1.7 7.253333 0.94990381 0.948594 0.949249 0.059958          
171 1.71 7.296 0.94859414 0.947257 0.947926 0.059875          
172 1.72 7.338667 0.94725739 0.945893 0.946575 0.05979          
173 1.73 7.381333 0.9458932 0.944501 0.945197 0.059702          
174 1.74 7.424 0.94450123 0.943081 0.943791 0.059614          
175 1.75 7.466667 0.94308115 0.941633 0.942357 0.059523          
176 1.76 7.509333 0.94163261 0.940155 0.940894 0.059431          
177 1.77 7.552 0.94015527 0.938649 0.939402 0.059336          
178 1.78 7.594667 0.9386488 0.937113 0.937881 0.05924          
179 1.79 7.637333 0.93711286 0.935547 0.93633 0.059142          
180 1.8 7.68 0.93554713 0.933951 0.934749 0.059043          
181 1.81 7.722667 0.93395129 0.932325 0.933138 0.058941          
182 1.82 7.765333 0.93232499 0.930668 0.931496 0.058837          
183 1.83 7.808 0.93066794 0.92898 0.929824 0.058731          
184 1.84 7.850667 0.9289798 0.92726 0.92812 0.058624          
185 1.85 7.893333 0.92726028 0.925509 0.926385 0.058514          
186 1.86 7.936 0.92550905 0.923726 0.924617 0.058403          
187 1.87 7.978667 0.92372582 0.92191 0.922818 0.058289          
188 1.88 8.021333 0.92191029 0.920062 0.920986 0.058173          
189 1.89 8.064 0.92006217 0.918181 0.919122 0.058055          
190 1.9 8.106667 0.91818116 0.916267 0.917224 0.057936          
191 1.91 8.149333 0.91626698 0.914319 0.915293 0.057814          
192 1.92 8.192 0.91431935 0.912338 0.913329 0.05769          
193 1.93 8.234667 0.91233801 0.910323 0.91133 0.057563          
194 1.94 8.277333 0.91032268 0.908273 0.909298 0.057435          
195 1.95 8.32 0.9082731 0.906189 0.907231 0.057304          
196 1.96 8.362667 0.90618902 0.90407 0.90513 0.057172          
197 1.97 8.405333 0.9040702 0.901916 0.902993 0.057037          
198 1.98 8.448 0.90191639 0.899727 0.900822 0.0569          
199 1.99 8.490667 0.89972737 0.897503 0.898615 0.05676          
200 2 8.533333 0.89750289 0.895243 0.896373 0.056619          
201 2.01 8.576 0.89524276 0.892947 0.894095 0.056475          
202 2.02 8.618667 0.89294675 0.890615 0.891781 0.056328          
203 2.03 8.661333 0.89061467 0.888246 0.88943 0.05618          
204 2.04 8.704 0.88824631 0.885842 0.887044 0.056029          
205 2.05 8.746667 0.88584151 0.8834 0.884621 0.055876          
206 2.06 8.789333 0.88340007 0.880922 0.882161 0.055721          
207 2.07 8.832 0.88092183 0.878407 0.879664 0.055563          
208 2.08 8.874667 0.87840664 0.875854 0.87713 0.055403          
209 2.09 8.917333 0.87585434 0.873265 0.87456 0.055241          
210 2.1 8.96 0.87326479 0.870638 0.871951 0.055076          
211 2.11 9.002667 0.87063787 0.867973 0.869306 0.054909          
212 2.12 9.045333 0.86797345 0.865271 0.866622 0.054739          
213 2.13 9.088 0.86527142 0.862532 0.863902 0.054568          
214 2.14 9.130667 0.86253169 0.859754 0.861143 0.054393          
215 2.15 9.173333 0.85975417 0.856939 0.858346 0.054217          
216 2.16 9.216 0.85693878 0.854085 0.855512 0.054038          
217 2.17 9.258667 0.85408545 0.851194 0.85264 0.053856          
218 2.18 9.301333 0.85119412 0.848265 0.849729 0.053672          
219 2.19 9.344 0.84826475 0.845297 0.846781 0.053486          
220 2.2 9.386667 0.84529731 0.842292 0.843795 0.053297          
221 2.21 9.429333 0.84229178 0.839248 0.84077 0.053106          
222 2.22 9.472 0.83924815 0.836166 0.837707 0.052913          
223 2.23 9.514667 0.83616641 0.833047 0.834607 0.052717          
224 2.24 9.557333 0.83304659 0.829889 0.831468 0.052519          
225 2.25 9.6 0.82988871 0.826693 0.828291 0.052318          
226 2.26 9.642667 0.8266928 0.823459 0.825076 0.052115          
227 2.27 9.685333 0.82345893 0.820187 0.821823 0.05191          
228 2.28 9.728 0.82018715 0.816878 0.818532 0.051702          
229 2.29 9.770667 0.81687754 0.81353 0.815204 0.051492          
230 2.3 9.813333 0.81353019 0.810145 0.811838 0.051279          
231 2.31 9.856 0.81014521 0.806723 0.808434 0.051064          
232 2.32 9.898667 0.80672271 0.803263 0.804993 0.050847          
233 2.33 9.941333 0.80326281 0.799766 0.801514 0.050627          
234 2.34 9.984 0.79976567 0.796231 0.797999 0.050405          
235 2.35 10.02667 0.79623143 0.79266 0.794446 0.05018          
236 2.36 10.06933 0.79266027 0.789052 0.790856 0.049954          
237 2.37 10.112 0.78905236 0.785408 0.78723 0.049725          
238 2.38 10.15467 0.78540791 0.781727 0.783568 0.049493          
239 2.39 10.19733 0.78172712 0.77801 0.779869 0.04926          
240 2.4 10.24 0.77801022 0.774257 0.776134 0.049024          
241 2.41 10.28267 0.77425744 0.770469 0.772363 0.048786          
242 2.42 10.32533 0.77046904 0.766645 0.768557 0.048545          
243 2.43 10.368 0.76664527 0.762786 0.764716 0.048303          
244 2.44 10.41067 0.76278641 0.758893 0.76084 0.048058          
245 2.45 10.45333 0.75889277 0.754965 0.756929 0.047811          
246 2.46 10.496 0.75496463 0.751002 0.752983 0.047561          
247 2.47 10.53867 0.75100232 0.747006 0.749004 0.04731          
248 2.48 10.58133 0.74700618 0.742977 0.744991 0.047057          
249 2.49 10.624 0.74297654 0.738914 0.740945 0.046801          
250 2.5 10.66667 0.73891377 0.734818 0.736866 0.046543          
251 2.51 10.70933 0.73481823 0.73069 0.732754 0.046284          
252 2.52 10.752 0.73069032 0.72653 0.72861 0.046022          
253 2.53 10.79467 0.72653044 0.722339 0.724435 0.045758          
254 2.54 10.83733 0.72233899 0.718116 0.720228 0.045493          
255 2.55 10.88 0.71811641 0.713863 0.71599 0.045225          
256 2.56 10.92267 0.71386312 0.70958 0.711721 0.044955          
257 2.57 10.96533 0.70957959 0.705266 0.707423 0.044684          
258 2.58 11.008 0.70526627 0.700924 0.703095 0.04441          
259 2.59 11.05067 0.70092365 0.696552 0.698738 0.044135          
260 2.6 11.09333 0.69655221 0.692152 0.694352 0.043858          
261 2.61 11.136 0.69215245 0.687725 0.689939 0.043579          
262 2.62 11.17867 0.6877249 0.68327 0.685497 0.043299          
263 2.63 11.22133 0.68327006 0.678788 0.681029 0.043017          
264 2.64 11.264 0.67878849 0.674281 0.676535 0.042733          
265 2.65 11.30667 0.67428073 0.669747 0.672014 0.042447          
266 2.66 11.34933 0.66974734 0.665189 0.667468 0.04216          
267 2.67 11.392 0.6651889 0.660606 0.662897 0.041871          
268 2.68 11.43467 0.66060599 0.655999 0.658303 0.041581          
269 2.69 11.47733 0.65599919 0.651369 0.653684 0.041289          
270 2.7 11.52 0.65136913 0.646716 0.649043 0.040996          
271 2.71 11.56267 0.64671641 0.642042 0.644379 0.040702          
272 2.72 11.60533 0.64204165 0.637346 0.639694 0.040406          
273 2.73 11.648 0.6373455 0.632629 0.634987 0.040108          
274 2.74 11.69067 0.6326286 0.627892 0.63026 0.03981          
275 2.75 11.73333 0.6278916 0.623135 0.625513 0.03951          
276 2.76 11.776 0.62313517 0.61836 0.620748 0.039209          
277 2.77 11.81867 0.61835997 0.613567 0.615963 0.038907          
278 2.78 11.86133 0.61356669 0.608756 0.611161 0.038603          
279 2.79 11.904 0.60875603 0.603929 0.606342 0.038299          
280 2.8 11.94667 0.60392866 0.599085 0.601507 0.037994          
281 2.81 11.98933 0.59908531 0.594227 0.596656 0.037687          
282 2.82 12.032 0.59422668 0.589353 0.59179 0.03738          
283 2.83 12.07467 0.5893535 0.584466 0.58691 0.037072          
284 2.84 12.11733 0.58446648 0.579566 0.582016 0.036763          
285 2.85 12.16 0.57956636 0.574654 0.57711 0.036453          
286 2.86 12.20267 0.57465388 0.56973 0.572192 0.036142          
287 2.87 12.24533 0.56972979 0.564795 0.567262 0.035831          
288 2.88 12.288 0.56479482 0.55985 0.562322 0.035519          
289 2.89 12.33067 0.55984975 0.554895 0.557373 0.035206          
290 2.9 12.37333 0.55489532 0.549932 0.552414 0.034893          
291 2.91 12.416 0.5499323 0.544961 0.547447 0.034579          
292 2.92 12.45867 0.54496145 0.539984 0.542473 0.034265          
293 2.93 12.50133 0.53998356 0.534999 0.537491 0.03395          
294 2.94 12.544 0.53499939 0.53001 0.532505 0.033635          
295 2.95 12.58667 0.53000972 0.525015 0.527513 0.03332          
296 2.96 12.62933 0.52501533 0.520017 0.522516 0.033004          
297 2.97 12.672 0.520017 0.515016 0.517516 0.032688          
298 2.98 12.71467 0.51501552 0.510012 0.512514 0.032372          
299 2.99 12.75733 0.51001167 0.505006 0.507509 0.032056          
300 3 12.8 0.50500623 0.5 0.502503 0.03174          
        SUM   35.89048          

 

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)= 4.8535
Qo= 550.00 vph   Ko=   42.96875 veh/mile        
MU 12.80 mph   No=   129  veh        
SIGMA 3.40 mph   ALPHAO= 0.0233 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 244.15   PER HOUR= 1041.72
        STANDARD DEVIATION= 15.63     3
        DETERMINISTIC  EQUATION= 257.81      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       128.9063          
1 0.01 0.042667 0.9999166 0.999912 0.999914 0.429651          
2 0.02 0.085333 0.99991231 0.999908 0.99991 0.429649          
3 0.03 0.128 0.99990782 0.999903 0.999905 0.429647          
4 0.04 0.170667 0.99990311 0.999898 0.999901 0.429645          
5 0.05 0.213333 0.99989817 0.999893 0.999896 0.429643          
6 0.06 0.256 0.999893 0.999888 0.99989 0.42964          
7 0.07 0.298667 0.99988758 0.999882 0.999885 0.429638          
8 0.08 0.341333 0.99988191 0.999876 0.999879 0.429635          
9 0.09 0.384 0.99987597 0.99987 0.999873 0.429633          
10 0.1 0.426667 0.99986974 0.999863 0.999866 0.42963          
11 0.11 0.469333 0.99986323 0.999856 0.99986 0.429627          
12 0.12 0.512 0.99985641 0.999849 0.999853 0.429624          
13 0.13 0.554667 0.99984928 0.999842 0.999846 0.429621          
14 0.14 0.597333 0.99984181 0.999834 0.999838 0.429618          
15 0.15 0.64 0.999834 0.999826 0.99983 0.429614          
16 0.16 0.682667 0.99982583 0.999817 0.999822 0.429611          
17 0.17 0.725333 0.99981728 0.999808 0.999813 0.429607          
18 0.18 0.768 0.99980835 0.999799 0.999804 0.429603          
19 0.19 0.810667 0.999799 0.999789 0.999794 0.429599          
20 0.2 0.853333 0.99978923 0.999779 0.999784 0.429595          
21 0.21 0.896 0.99977902 0.999768 0.999774 0.42959          
22 0.22 0.938667 0.99976835 0.999757 0.999763 0.429586          
23 0.23 0.981333 0.9997572 0.999746 0.999751 0.429581          
24 0.24 1.024 0.99974555 0.999733 0.999739 0.429576          
25 0.25 1.066667 0.99973338 0.999721 0.999727 0.42957          
26 0.26 1.109333 0.99972068 0.999707 0.999714 0.429565          
27 0.27 1.152 0.9997074 0.999694 0.9997 0.429559          
28 0.28 1.194667 0.99969355 0.999679 0.999686 0.429553          
29 0.29 1.237333 0.99967908 0.999664 0.999672 0.429546          
30 0.3 1.28 0.99966398 0.999648 0.999656 0.42954          
31 0.31 1.322667 0.99964823 0.999632 0.99964 0.429533          
32 0.32 1.365333 0.99963179 0.999615 0.999623 0.429526          
33 0.33 1.408 0.99961464 0.999597 0.999606 0.429518          
34 0.34 1.450667 0.99959674 0.999578 0.999587 0.42951          
35 0.35 1.493333 0.99957808 0.999559 0.999568 0.429502          
36 0.36 1.536 0.99955863 0.999538 0.999548 0.429493          
37 0.37 1.578667 0.99953834 0.999517 0.999528 0.429485          
38 0.38 1.621333 0.99951719 0.999495 0.999506 0.429475          
39 0.39 1.664 0.99949515 0.999472 0.999484 0.429466          
40 0.4 1.706667 0.99947218 0.999448 0.99946 0.429456          
41 0.41 1.749333 0.99944825 0.999423 0.999436 0.429445          
42 0.42 1.792 0.99942331 0.999397 0.99941 0.429434          
43 0.43 1.834667 0.99939734 0.99937 0.999384 0.429423          
44 0.44 1.877333 0.99937029 0.999342 0.999356 0.429411          
45 0.45 1.92 0.99934212 0.999313 0.999327 0.429399          
46 0.46 1.962667 0.9993128 0.999282 0.999298 0.429386          
47 0.47 2.005333 0.99928227 0.99925 0.999266 0.429372          
48 0.48 2.048 0.9992505 0.999217 0.999234 0.429358          
49 0.49 2.090667 0.99921744 0.999183 0.9992 0.429344          
50 0.5 2.133333 0.99918303 0.999147 0.999165 0.429329          
51 0.51 2.176 0.99914724 0.99911 0.999129 0.429313          
52 0.52 2.218667 0.99911002 0.999071 0.999091 0.429297          
53 0.53 2.261333 0.9990713 0.999031 0.999051 0.42928          
54 0.54 2.304 0.99903105 0.998989 0.99901 0.429262          
55 0.55 2.346667 0.99898919 0.998946 0.998967 0.429244          
56 0.56 2.389333 0.99894569 0.9989 0.998923 0.429225          
57 0.57 2.432 0.99890047 0.998853 0.998877 0.429205          
58 0.58 2.474667 0.99885348 0.998805 0.998829 0.429184          
59 0.59 2.517333 0.99880466 0.998754 0.998779 0.429163          
60 0.6 2.56 0.99875394 0.998701 0.998728 0.429141          
61 0.61 2.602667 0.99870126 0.998647 0.998674 0.429118          
62 0.62 2.645333 0.99864655 0.99859 0.998618 0.429094          
63 0.63 2.688 0.99858975 0.998531 0.99856 0.429069          
64 0.64 2.730667 0.99853077 0.99847 0.9985 0.429043          
65 0.65 2.773333 0.99846955 0.998406 0.998438 0.429016          
66 0.66 2.816 0.99840601 0.99834 0.998373 0.428988          
67 0.67 2.858667 0.99834008 0.998272 0.998306 0.42896          
68 0.68 2.901333 0.99827167 0.998201 0.998236 0.42893          
69 0.69 2.944 0.99820071 0.998127 0.998164 0.428899          
70 0.7 2.986667 0.9981271 0.998051 0.998089 0.428866          
71 0.71 3.029333 0.99805077 0.997972 0.998011 0.428833          
72 0.72 3.072 0.99797163 0.99789 0.997931 0.428798          
73 0.73 3.114667 0.99788957 0.997805 0.997847 0.428762          
74 0.74 3.157333 0.99780452 0.997716 0.99776 0.428725          
75 0.75 3.2 0.99771638 0.997625 0.997671 0.428687          
76 0.76 3.242667 0.99762503 0.99753 0.997578 0.428647          
77 0.77 3.285333 0.9975304 0.997432 0.997481 0.428605          
78 0.78 3.328 0.99743237 0.997331 0.997382 0.428562          
79 0.79 3.370667 0.99733083 0.997226 0.997278 0.428518          
80 0.8 3.413333 0.99722568 0.997117 0.997171 0.428472          
81 0.81 3.456 0.99711681 0.997004 0.99706 0.428424          
82 0.82 3.498667 0.9970041 0.996887 0.996946 0.428375          
83 0.83 3.541333 0.99688743 0.996767 0.996827 0.428324          
84 0.84 3.584 0.99676669 0.996642 0.996704 0.428271          
85 0.85 3.626667 0.99664175 0.996512 0.996577 0.428217          
86 0.86 3.669333 0.99651249 0.996379 0.996446 0.42816          
87 0.87 3.712 0.99637878 0.99624 0.99631 0.428102          
88 0.88 3.754667 0.99624048 0.996097 0.996169 0.428041          
89 0.89 3.797333 0.99609747 0.99595 0.996024 0.427979          
90 0.9 3.84 0.9959496 0.995797 0.995873 0.427914          
91 0.91 3.882667 0.99579674 0.995639 0.995718 0.427847          
92 0.92 3.925333 0.99563874 0.995475 0.995557 0.427778          
93 0.93 3.968 0.99547545 0.995307 0.995391 0.427707          
94 0.94 4.010667 0.99530672 0.995132 0.99522 0.427633          
95 0.95 4.053333 0.9951324 0.994952 0.995042 0.427557          
96 0.96 4.096 0.99495234 0.994766 0.994859 0.427479          
97 0.97 4.138667 0.99476637 0.994574 0.99467 0.427397          
98 0.98 4.181333 0.99457432 0.994376 0.994475 0.427314          
99 0.99 4.224 0.99437604 0.994171 0.994274 0.427227          
100 1 4.266667 0.99417135 0.99396 0.994066 0.427138          
101 1.01 4.309333 0.99396007 0.993742 0.993851 0.427045          
102 1.02 4.352 0.99374204 0.993517 0.99363 0.42695          
103 1.03 4.394667 0.99351706 0.993285 0.993401 0.426852          
104 1.04 4.437333 0.99328496 0.993046 0.993165 0.426751          
105 1.05 4.48 0.99304555 0.992799 0.992922 0.426646          
106 1.06 4.522667 0.99279863 0.992544 0.992671 0.426538          
107 1.07 4.565333 0.99254401 0.992281 0.992413 0.426427          
108 1.08 4.608 0.99228149 0.992011 0.992146 0.426313          
109 1.09 4.650667 0.99201088 0.991732 0.991871 0.426195          
110 1.1 4.693333 0.99173195 0.991445 0.991588 0.426073          
111 1.11 4.736 0.99144451 0.991148 0.991296 0.425948          
112 1.12 4.778667 0.99114833 0.990843 0.990996 0.425818          
113 1.13 4.821333 0.99084321 0.990529 0.990686 0.425685          
114 1.14 4.864 0.99052892 0.990205 0.990367 0.425548          
115 1.15 4.906667 0.99020524 0.989872 0.990039 0.425407          
116 1.16 4.949333 0.98987194 0.989529 0.9897 0.425262          
117 1.17 4.992 0.98952878 0.989176 0.989352 0.425112          
118 1.18 5.034667 0.98917554 0.988812 0.988994 0.424958          
119 1.19 5.077333 0.98881196 0.988438 0.988625 0.4248          
120 1.2 5.12 0.98843782 0.988053 0.988245 0.424637          
121 1.21 5.162667 0.98805286 0.987657 0.987855 0.424469          
122 1.22 5.205333 0.98765682 0.987249 0.987453 0.424296          
123 1.23 5.248 0.98724947 0.986831 0.98704 0.424119          
124 1.24 5.290667 0.98683054 0.9864 0.986615 0.423936          
125 1.25 5.333333 0.98639976 0.985957 0.986178 0.423748          
126 1.26 5.376 0.98595688 0.985502 0.985729 0.423556          
127 1.27 5.418667 0.98550163 0.985034 0.985268 0.423357          
128 1.28 5.461333 0.98503373 0.984553 0.984793 0.423153          
129 1.29 5.504 0.9845529 0.984059 0.984306 0.422944          
130 1.3 5.546667 0.98405887 0.983551 0.983805 0.422729          
131 1.31 5.589333 0.98355136 0.98303 0.983291 0.422508          
132 1.32 5.632 0.98303008 0.982495 0.982762 0.422281          
133 1.33 5.674667 0.98249474 0.981945 0.98222 0.422048          
134 1.34 5.717333 0.98194505 0.981381 0.981663 0.421808          
135 1.35 5.76 0.98138071 0.980801 0.981091 0.421563          
136 1.36 5.802667 0.98080142 0.980207 0.980504 0.42131          
137 1.37 5.845333 0.98020688 0.979597 0.979902 0.421052          
138 1.38 5.888 0.97959679 0.978971 0.979284 0.420786          
139 1.39 5.930667 0.97897084 0.978329 0.97865 0.420514          
140 1.4 5.973333 0.97832871 0.97767 0.977999 0.420234          
141 1.41 6.016 0.97767009 0.976995 0.977332 0.419948          
142 1.42 6.058667 0.97699466 0.976302 0.976648 0.419654          
143 1.43 6.101333 0.97630212 0.975592 0.975947 0.419352          
144 1.44 6.144 0.97559212 0.974864 0.975228 0.419043          
145 1.45 6.186667 0.97486435 0.974118 0.974491 0.418727          
146 1.46 6.229333 0.97411848 0.973354 0.973736 0.418402          
147 1.47 6.272 0.97335418 0.972571 0.972963 0.41807          
148 1.48 6.314667 0.97257112 0.971769 0.97217 0.417729          
149 1.49 6.357333 0.97176896 0.970947 0.971358 0.41738          
150 1.5 6.4 0.97094737 0.970106 0.970527 0.417023          
151 1.51 6.442667 0.97010601 0.969245 0.969675 0.416657          
152 1.52 6.485333 0.96924454 0.968363 0.968804 0.416283          
153 1.53 6.528 0.96836261 0.96746 0.967911 0.415899          
154 1.54 6.570667 0.96745989 0.966536 0.966998 0.415507          
155 1.55 6.613333 0.96653603 0.965591 0.966063 0.415105          
156 1.56 6.656 0.96559068 0.964624 0.965107 0.414694          
157 1.57 6.698667 0.9646235 0.963634 0.964129 0.414274          
158 1.58 6.741333 0.96363413 0.962622 0.963128 0.413844          
159 1.59 6.784 0.96262224 0.961587 0.962105 0.413404          
160 1.6 6.826667 0.96158746 0.960529 0.961058 0.412955          
161 1.61 6.869333 0.96052944 0.959448 0.959989 0.412495          
162 1.62 6.912 0.95944784 0.958342 0.958895 0.412025          
163 1.63 6.954667 0.95834231 0.957212 0.957777 0.411545          
164 1.64 6.997333 0.95721248 0.956058 0.956635 0.411054          
165 1.65 7.04 0.95605802 0.954879 0.955468 0.410553          
166 1.66 7.082667 0.95487856 0.953674 0.954276 0.410041          
167 1.67 7.125333 0.95367377 0.952443 0.953059 0.409517          
168 1.68 7.168 0.95244328 0.951187 0.951815 0.408983          
169 1.69 7.210667 0.95118674 0.949904 0.950545 0.408437          
170 1.7 7.253333 0.94990381 0.948594 0.949249 0.40788          
171 1.71 7.296 0.94859414 0.947257 0.947926 0.407312          
172 1.72 7.338667 0.94725739 0.945893 0.946575 0.406732          
173 1.73 7.381333 0.9458932 0.944501 0.945197 0.406139          
174 1.74 7.424 0.94450123 0.943081 0.943791 0.405535          
175 1.75 7.466667 0.94308115 0.941633 0.942357 0.404919          
176 1.76 7.509333 0.94163261 0.940155 0.940894 0.40429          
177 1.77 7.552 0.94015527 0.938649 0.939402 0.403649          
178 1.78 7.594667 0.9386488 0.937113 0.937881 0.402996          
179 1.79 7.637333 0.93711286 0.935547 0.93633 0.402329          
180 1.8 7.68 0.93554713 0.933951 0.934749 0.40165          
181 1.81 7.722667 0.93395129 0.932325 0.933138 0.400958          
182 1.82 7.765333 0.93232499 0.930668 0.931496 0.400252          
183 1.83 7.808 0.93066794 0.92898 0.929824 0.399534          
184 1.84 7.850667 0.9289798 0.92726 0.92812 0.398802          
185 1.85 7.893333 0.92726028 0.925509 0.926385 0.398056          
186 1.86 7.936 0.92550905 0.923726 0.924617 0.397297          
187 1.87 7.978667 0.92372582 0.92191 0.922818 0.396523          
188 1.88 8.021333 0.92191029 0.920062 0.920986 0.395736          
189 1.89 8.064 0.92006217 0.918181 0.919122 0.394935          
190 1.9 8.106667 0.91818116 0.916267 0.917224 0.39412          
191 1.91 8.149333 0.91626698 0.914319 0.915293 0.39329          
192 1.92 8.192 0.91431935 0.912338 0.913329 0.392446          
193 1.93 8.234667 0.91233801 0.910323 0.91133 0.391587          
194 1.94 8.277333 0.91032268 0.908273 0.909298 0.390714          
195 1.95 8.32 0.9082731 0.906189 0.907231 0.389826          
196 1.96 8.362667 0.90618902 0.90407 0.90513 0.388923          
197 1.97 8.405333 0.9040702 0.901916 0.902993 0.388005          
198 1.98 8.448 0.90191639 0.899727 0.900822 0.387072          
199 1.99 8.490667 0.89972737 0.897503 0.898615 0.386124          
200 2 8.533333 0.89750289 0.895243 0.896373 0.38516          
201 2.01 8.576 0.89524276 0.892947 0.894095 0.384181          
202 2.02 8.618667 0.89294675 0.890615 0.891781 0.383187          
203 2.03 8.661333 0.89061467 0.888246 0.88943 0.382177          
204 2.04 8.704 0.88824631 0.885842 0.887044 0.381152          
205 2.05 8.746667 0.88584151 0.8834 0.884621 0.38011          
206 2.06 8.789333 0.88340007 0.880922 0.882161 0.379054          
207 2.07 8.832 0.88092183 0.878407 0.879664 0.377981          
208 2.08 8.874667 0.87840664 0.875854 0.87713 0.376892          
209 2.09 8.917333 0.87585434 0.873265 0.87456 0.375787          
210 2.1 8.96 0.87326479 0.870638 0.871951 0.374667          
211 2.11 9.002667 0.87063787 0.867973 0.869306 0.37353          
212 2.12 9.045333 0.86797345 0.865271 0.866622 0.372377          
213 2.13 9.088 0.86527142 0.862532 0.863902 0.371208          
214 2.14 9.130667 0.86253169 0.859754 0.861143 0.370022          
215 2.15 9.173333 0.85975417 0.856939 0.858346 0.368821          
216 2.16 9.216 0.85693878 0.854085 0.855512 0.367603          
217 2.17 9.258667 0.85408545 0.851194 0.85264 0.366369          
218 2.18 9.301333 0.85119412 0.848265 0.849729 0.365118          
219 2.19 9.344 0.84826475 0.845297 0.846781 0.363851          
220 2.2 9.386667 0.84529731 0.842292 0.843795 0.362568          
221 2.21 9.429333 0.84229178 0.839248 0.84077 0.361268          
222 2.22 9.472 0.83924815 0.836166 0.837707 0.359952          
223 2.23 9.514667 0.83616641 0.833047 0.834607 0.35862          
224 2.24 9.557333 0.83304659 0.829889 0.831468 0.357271          
225 2.25 9.6 0.82988871 0.826693 0.828291 0.355906          
226 2.26 9.642667 0.8266928 0.823459 0.825076 0.354525          
227 2.27 9.685333 0.82345893 0.820187 0.821823 0.353127          
228 2.28 9.728 0.82018715 0.816878 0.818532 0.351713          
229 2.29 9.770667 0.81687754 0.81353 0.815204 0.350283          
230 2.3 9.813333 0.81353019 0.810145 0.811838 0.348837          
231 2.31 9.856 0.81014521 0.806723 0.808434 0.347374          
232 2.32 9.898667 0.80672271 0.803263 0.804993 0.345895          
233 2.33 9.941333 0.80326281 0.799766 0.801514 0.344401          
234 2.34 9.984 0.79976567 0.796231 0.797999 0.34289          
235 2.35 10.02667 0.79623143 0.79266 0.794446 0.341363          
236 2.36 10.06933 0.79266027 0.789052 0.790856 0.339821          
237 2.37 10.112 0.78905236 0.785408 0.78723 0.338263          
238 2.38 10.15467 0.78540791 0.781727 0.783568 0.336689          
239 2.39 10.19733 0.78172712 0.77801 0.779869 0.3351          
240 2.4 10.24 0.77801022 0.774257 0.776134 0.333495          
241 2.41 10.28267 0.77425744 0.770469 0.772363 0.331875          
242 2.42 10.32533 0.77046904 0.766645 0.768557 0.330239          
243 2.43 10.368 0.76664527 0.762786 0.764716 0.328589          
244 2.44 10.41067 0.76278641 0.758893 0.76084 0.326923          
245 2.45 10.45333 0.75889277 0.754965 0.756929 0.325243          
246 2.46 10.496 0.75496463 0.751002 0.752983 0.323548          
247 2.47 10.53867 0.75100232 0.747006 0.749004 0.321838          
248 2.48 10.58133 0.74700618 0.742977 0.744991 0.320113          
249 2.49 10.624 0.74297654 0.738914 0.740945 0.318375          
250 2.5 10.66667 0.73891377 0.734818 0.736866 0.316622          
251 2.51 10.70933 0.73481823 0.73069 0.732754 0.314855          
252 2.52 10.752 0.73069032 0.72653 0.72861 0.313075          
253 2.53 10.79467 0.72653044 0.722339 0.724435 0.311281          
254 2.54 10.83733 0.72233899 0.718116 0.720228 0.309473          
255 2.55 10.88 0.71811641 0.713863 0.71599 0.307652          
256 2.56 10.92267 0.71386312 0.70958 0.711721 0.305818          
257 2.57 10.96533 0.70957959 0.705266 0.707423 0.303971          
258 2.58 11.008 0.70526627 0.700924 0.703095 0.302111          
259 2.59 11.05067 0.70092365 0.696552 0.698738 0.300239          
260 2.6 11.09333 0.69655221 0.692152 0.694352 0.298355          
261 2.61 11.136 0.69215245 0.687725 0.689939 0.296458          
262 2.62 11.17867 0.6877249 0.68327 0.685497 0.29455          
263 2.63 11.22133 0.68327006 0.678788 0.681029 0.29263          
264 2.64 11.264 0.67878849 0.674281 0.676535 0.290698          
265 2.65 11.30667 0.67428073 0.669747 0.672014 0.288756          
266 2.66 11.34933 0.66974734 0.665189 0.667468 0.286803          
267 2.67 11.392 0.6651889 0.660606 0.662897 0.284839          
268 2.68 11.43467 0.66060599 0.655999 0.658303 0.282864          
269 2.69 11.47733 0.65599919 0.651369 0.653684 0.28088          
270 2.7 11.52 0.65136913 0.646716 0.649043 0.278886          
271 2.71 11.56267 0.64671641 0.642042 0.644379 0.276882          
272 2.72 11.60533 0.64204165 0.637346 0.639694 0.274868          
273 2.73 11.648 0.6373455 0.632629 0.634987 0.272846          
274 2.74 11.69067 0.6326286 0.627892 0.63026 0.270815          
275 2.75 11.73333 0.6278916 0.623135 0.625513 0.268775          
276 2.76 11.776 0.62313517 0.61836 0.620748 0.266727          
277 2.77 11.81867 0.61835997 0.613567 0.615963 0.264672          
278 2.78 11.86133 0.61356669 0.608756 0.611161 0.262608          
279 2.79 11.904 0.60875603 0.603929 0.606342 0.260538          
280 2.8 11.94667 0.60392866 0.599085 0.601507 0.25846          
281 2.81 11.98933 0.59908531 0.594227 0.596656 0.256376          
282 2.82 12.032 0.59422668 0.589353 0.59179 0.254285          
283 2.83 12.07467 0.5893535 0.584466 0.58691 0.252188          
284 2.84 12.11733 0.58446648 0.579566 0.582016 0.250085          
285 2.85 12.16 0.57956636 0.574654 0.57711 0.247977          
286 2.86 12.20267 0.57465388 0.56973 0.572192 0.245864          
287 2.87 12.24533 0.56972979 0.564795 0.567262 0.243746          
288 2.88 12.288 0.56479482 0.55985 0.562322 0.241623          
289 2.89 12.33067 0.55984975 0.554895 0.557373 0.239496          
290 2.9 12.37333 0.55489532 0.549932 0.552414 0.237365          
291 2.91 12.416 0.5499323 0.544961 0.547447 0.235231          
292 2.92 12.45867 0.54496145 0.539984 0.542473 0.233094          
293 2.93 12.50133 0.53998356 0.534999 0.537491 0.230953          
294 2.94 12.544 0.53499939 0.53001 0.532505 0.228811          
295 2.95 12.58667 0.53000972 0.525015 0.527513 0.226666          
296 2.96 12.62933 0.52501533 0.520017 0.522516 0.224519          
297 2.97 12.672 0.520017 0.515016 0.517516 0.22237          
298 2.98 12.71467 0.51501552 0.510012 0.512514 0.220221          
299 2.99 12.75733 0.51001167 0.505006 0.507509 0.21807          
300 3 12.8 0.50500623 0.5 0.502503 0.215919          
        SUM   244.1529          

 

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)= 4.8535
Qo= 38.50 vph   Ko=   3.007813 veh/mile        
MU 12.80 mph   No=   9  veh        
SIGMA 3.40 mph   ALPHAO= 0.3325 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 17.09   PER HOUR= 72.92
        STANDARD DEVIATION= 4.13     4
        DETERMINISTIC  EQUATION= 18.05      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       9.023438          
1 0.01 0.042667 0.9999166 0.999912 0.999914 0.030076          
2 0.02 0.085333 0.99991231 0.999908 0.99991 0.030075          
3 0.03 0.128 0.99990782 0.999903 0.999905 0.030075          
4 0.04 0.170667 0.99990311 0.999898 0.999901 0.030075          
5 0.05 0.213333 0.99989817 0.999893 0.999896 0.030075          
6 0.06 0.256 0.999893 0.999888 0.99989 0.030075          
7 0.07 0.298667 0.99988758 0.999882 0.999885 0.030075          
8 0.08 0.341333 0.99988191 0.999876 0.999879 0.030074          
9 0.09 0.384 0.99987597 0.99987 0.999873 0.030074          
10 0.1 0.426667 0.99986974 0.999863 0.999866 0.030074          
11 0.11 0.469333 0.99986323 0.999856 0.99986 0.030074          
12 0.12 0.512 0.99985641 0.999849 0.999853 0.030074          
13 0.13 0.554667 0.99984928 0.999842 0.999846 0.030073          
14 0.14 0.597333 0.99984181 0.999834 0.999838 0.030073          
15 0.15 0.64 0.999834 0.999826 0.99983 0.030073          
16 0.16 0.682667 0.99982583 0.999817 0.999822 0.030073          
17 0.17 0.725333 0.99981728 0.999808 0.999813 0.030072          
18 0.18 0.768 0.99980835 0.999799 0.999804 0.030072          
19 0.19 0.810667 0.999799 0.999789 0.999794 0.030072          
20 0.2 0.853333 0.99978923 0.999779 0.999784 0.030072          
21 0.21 0.896 0.99977902 0.999768 0.999774 0.030071          
22 0.22 0.938667 0.99976835 0.999757 0.999763 0.030071          
23 0.23 0.981333 0.9997572 0.999746 0.999751 0.030071          
24 0.24 1.024 0.99974555 0.999733 0.999739 0.03007          
25 0.25 1.066667 0.99973338 0.999721 0.999727 0.03007          
26 0.26 1.109333 0.99972068 0.999707 0.999714 0.03007          
27 0.27 1.152 0.9997074 0.999694 0.9997 0.030069          
28 0.28 1.194667 0.99969355 0.999679 0.999686 0.030069          
29 0.29 1.237333 0.99967908 0.999664 0.999672 0.030068          
30 0.3 1.28 0.99966398 0.999648 0.999656 0.030068          
31 0.31 1.322667 0.99964823 0.999632 0.99964 0.030067          
32 0.32 1.365333 0.99963179 0.999615 0.999623 0.030067          
33 0.33 1.408 0.99961464 0.999597 0.999606 0.030066          
34 0.34 1.450667 0.99959674 0.999578 0.999587 0.030066          
35 0.35 1.493333 0.99957808 0.999559 0.999568 0.030065          
36 0.36 1.536 0.99955863 0.999538 0.999548 0.030065          
37 0.37 1.578667 0.99953834 0.999517 0.999528 0.030064          
38 0.38 1.621333 0.99951719 0.999495 0.999506 0.030063          
39 0.39 1.664 0.99949515 0.999472 0.999484 0.030063          
40 0.4 1.706667 0.99947218 0.999448 0.99946 0.030062          
41 0.41 1.749333 0.99944825 0.999423 0.999436 0.030061          
42 0.42 1.792 0.99942331 0.999397 0.99941 0.03006          
43 0.43 1.834667 0.99939734 0.99937 0.999384 0.03006          
44 0.44 1.877333 0.99937029 0.999342 0.999356 0.030059          
45 0.45 1.92 0.99934212 0.999313 0.999327 0.030058          
46 0.46 1.962667 0.9993128 0.999282 0.999298 0.030057          
47 0.47 2.005333 0.99928227 0.99925 0.999266 0.030056          
48 0.48 2.048 0.9992505 0.999217 0.999234 0.030055          
49 0.49 2.090667 0.99921744 0.999183 0.9992 0.030054          
50 0.5 2.133333 0.99918303 0.999147 0.999165 0.030053          
51 0.51 2.176 0.99914724 0.99911 0.999129 0.030052          
52 0.52 2.218667 0.99911002 0.999071 0.999091 0.030051          
53 0.53 2.261333 0.9990713 0.999031 0.999051 0.03005          
54 0.54 2.304 0.99903105 0.998989 0.99901 0.030048          
55 0.55 2.346667 0.99898919 0.998946 0.998967 0.030047          
56 0.56 2.389333 0.99894569 0.9989 0.998923 0.030046          
57 0.57 2.432 0.99890047 0.998853 0.998877 0.030044          
58 0.58 2.474667 0.99885348 0.998805 0.998829 0.030043          
59 0.59 2.517333 0.99880466 0.998754 0.998779 0.030041          
60 0.6 2.56 0.99875394 0.998701 0.998728 0.03004          
61 0.61 2.602667 0.99870126 0.998647 0.998674 0.030038          
62 0.62 2.645333 0.99864655 0.99859 0.998618 0.030037          
63 0.63 2.688 0.99858975 0.998531 0.99856 0.030035          
64 0.64 2.730667 0.99853077 0.99847 0.9985 0.030033          
65 0.65 2.773333 0.99846955 0.998406 0.998438 0.030031          
66 0.66 2.816 0.99840601 0.99834 0.998373 0.030029          
67 0.67 2.858667 0.99834008 0.998272 0.998306 0.030027          
68 0.68 2.901333 0.99827167 0.998201 0.998236 0.030025          
69 0.69 2.944 0.99820071 0.998127 0.998164 0.030023          
70 0.7 2.986667 0.9981271 0.998051 0.998089 0.030021          
71 0.71 3.029333 0.99805077 0.997972 0.998011 0.030018          
72 0.72 3.072 0.99797163 0.99789 0.997931 0.030016          
73 0.73 3.114667 0.99788957 0.997805 0.997847 0.030013          
74 0.74 3.157333 0.99780452 0.997716 0.99776 0.030011          
75 0.75 3.2 0.99771638 0.997625 0.997671 0.030008          
76 0.76 3.242667 0.99762503 0.99753 0.997578 0.030005          
77 0.77 3.285333 0.9975304 0.997432 0.997481 0.030002          
78 0.78 3.328 0.99743237 0.997331 0.997382 0.029999          
79 0.79 3.370667 0.99733083 0.997226 0.997278 0.029996          
80 0.8 3.413333 0.99722568 0.997117 0.997171 0.029993          
81 0.81 3.456 0.99711681 0.997004 0.99706 0.02999          
82 0.82 3.498667 0.9970041 0.996887 0.996946 0.029986          
83 0.83 3.541333 0.99688743 0.996767 0.996827 0.029983          
84 0.84 3.584 0.99676669 0.996642 0.996704 0.029979          
85 0.85 3.626667 0.99664175 0.996512 0.996577 0.029975          
86 0.86 3.669333 0.99651249 0.996379 0.996446 0.029971          
87 0.87 3.712 0.99637878 0.99624 0.99631 0.029967          
88 0.88 3.754667 0.99624048 0.996097 0.996169 0.029963          
89 0.89 3.797333 0.99609747 0.99595 0.996024 0.029959          
90 0.9 3.84 0.9959496 0.995797 0.995873 0.029954          
91 0.91 3.882667 0.99579674 0.995639 0.995718 0.029949          
92 0.92 3.925333 0.99563874 0.995475 0.995557 0.029944          
93 0.93 3.968 0.99547545 0.995307 0.995391 0.029939          
94 0.94 4.010667 0.99530672 0.995132 0.99522 0.029934          
95 0.95 4.053333 0.9951324 0.994952 0.995042 0.029929          
96 0.96 4.096 0.99495234 0.994766 0.994859 0.029924          
97 0.97 4.138667 0.99476637 0.994574 0.99467 0.029918          
98 0.98 4.181333 0.99457432 0.994376 0.994475 0.029912          
99 0.99 4.224 0.99437604 0.994171 0.994274 0.029906          
100 1 4.266667 0.99417135 0.99396 0.994066 0.0299          
101 1.01 4.309333 0.99396007 0.993742 0.993851 0.029893          
102 1.02 4.352 0.99374204 0.993517 0.99363 0.029887          
103 1.03 4.394667 0.99351706 0.993285 0.993401 0.02988          
104 1.04 4.437333 0.99328496 0.993046 0.993165 0.029873          
105 1.05 4.48 0.99304555 0.992799 0.992922 0.029865          
106 1.06 4.522667 0.99279863 0.992544 0.992671 0.029858          
107 1.07 4.565333 0.99254401 0.992281 0.992413 0.02985          
108 1.08 4.608 0.99228149 0.992011 0.992146 0.029842          
109 1.09 4.650667 0.99201088 0.991732 0.991871 0.029834          
110 1.1 4.693333 0.99173195 0.991445 0.991588 0.029825          
111 1.11 4.736 0.99144451 0.991148 0.991296 0.029816          
112 1.12 4.778667 0.99114833 0.990843 0.990996 0.029807          
113 1.13 4.821333 0.99084321 0.990529 0.990686 0.029798          
114 1.14 4.864 0.99052892 0.990205 0.990367 0.029788          
115 1.15 4.906667 0.99020524 0.989872 0.990039 0.029779          
116 1.16 4.949333 0.98987194 0.989529 0.9897 0.029768          
117 1.17 4.992 0.98952878 0.989176 0.989352 0.029758          
118 1.18 5.034667 0.98917554 0.988812 0.988994 0.029747          
119 1.19 5.077333 0.98881196 0.988438 0.988625 0.029736          
120 1.2 5.12 0.98843782 0.988053 0.988245 0.029725          
121 1.21 5.162667 0.98805286 0.987657 0.987855 0.029713          
122 1.22 5.205333 0.98765682 0.987249 0.987453 0.029701          
123 1.23 5.248 0.98724947 0.986831 0.98704 0.029688          
124 1.24 5.290667 0.98683054 0.9864 0.986615 0.029676          
125 1.25 5.333333 0.98639976 0.985957 0.986178 0.029662          
126 1.26 5.376 0.98595688 0.985502 0.985729 0.029649          
127 1.27 5.418667 0.98550163 0.985034 0.985268 0.029635          
128 1.28 5.461333 0.98503373 0.984553 0.984793 0.029621          
129 1.29 5.504 0.9845529 0.984059 0.984306 0.029606          
130 1.3 5.546667 0.98405887 0.983551 0.983805 0.029591          
131 1.31 5.589333 0.98355136 0.98303 0.983291 0.029576          
132 1.32 5.632 0.98303008 0.982495 0.982762 0.02956          
133 1.33 5.674667 0.98249474 0.981945 0.98222 0.029543          
134 1.34 5.717333 0.98194505 0.981381 0.981663 0.029527          
135 1.35 5.76 0.98138071 0.980801 0.981091 0.029509          
136 1.36 5.802667 0.98080142 0.980207 0.980504 0.029492          
137 1.37 5.845333 0.98020688 0.979597 0.979902 0.029474          
138 1.38 5.888 0.97959679 0.978971 0.979284 0.029455          
139 1.39 5.930667 0.97897084 0.978329 0.97865 0.029436          
140 1.4 5.973333 0.97832871 0.97767 0.977999 0.029416          
141 1.41 6.016 0.97767009 0.976995 0.977332 0.029396          
142 1.42 6.058667 0.97699466 0.976302 0.976648 0.029376          
143 1.43 6.101333 0.97630212 0.975592 0.975947 0.029355          
144 1.44 6.144 0.97559212 0.974864 0.975228 0.029333          
145 1.45 6.186667 0.97486435 0.974118 0.974491 0.029311          
146 1.46 6.229333 0.97411848 0.973354 0.973736 0.029288          
147 1.47 6.272 0.97335418 0.972571 0.972963 0.029265          
148 1.48 6.314667 0.97257112 0.971769 0.97217 0.029241          
149 1.49 6.357333 0.97176896 0.970947 0.971358 0.029217          
150 1.5 6.4 0.97094737 0.970106 0.970527 0.029192          
151 1.51 6.442667 0.97010601 0.969245 0.969675 0.029166          
152 1.52 6.485333 0.96924454 0.968363 0.968804 0.02914          
153 1.53 6.528 0.96836261 0.96746 0.967911 0.029113          
154 1.54 6.570667 0.96745989 0.966536 0.966998 0.029085          
155 1.55 6.613333 0.96653603 0.965591 0.966063 0.029057          
156 1.56 6.656 0.96559068 0.964624 0.965107 0.029029          
157 1.57 6.698667 0.9646235 0.963634 0.964129 0.028999          
158 1.58 6.741333 0.96363413 0.962622 0.963128 0.028969          
159 1.59 6.784 0.96262224 0.961587 0.962105 0.028938          
160 1.6 6.826667 0.96158746 0.960529 0.961058 0.028907          
161 1.61 6.869333 0.96052944 0.959448 0.959989 0.028875          
162 1.62 6.912 0.95944784 0.958342 0.958895 0.028842          
163 1.63 6.954667 0.95834231 0.957212 0.957777 0.028808          
164 1.64 6.997333 0.95721248 0.956058 0.956635 0.028774          
165 1.65 7.04 0.95605802 0.954879 0.955468 0.028739          
166 1.66 7.082667 0.95487856 0.953674 0.954276 0.028703          
167 1.67 7.125333 0.95367377 0.952443 0.953059 0.028666          
168 1.68 7.168 0.95244328 0.951187 0.951815 0.028629          
169 1.69 7.210667 0.95118674 0.949904 0.950545 0.028591          
170 1.7 7.253333 0.94990381 0.948594 0.949249 0.028552          
171 1.71 7.296 0.94859414 0.947257 0.947926 0.028512          
172 1.72 7.338667 0.94725739 0.945893 0.946575 0.028471          
173 1.73 7.381333 0.9458932 0.944501 0.945197 0.02843          
174 1.74 7.424 0.94450123 0.943081 0.943791 0.028387          
175 1.75 7.466667 0.94308115 0.941633 0.942357 0.028344          
176 1.76 7.509333 0.94163261 0.940155 0.940894 0.0283          
177 1.77 7.552 0.94015527 0.938649 0.939402 0.028255          
178 1.78 7.594667 0.9386488 0.937113 0.937881 0.02821          
179 1.79 7.637333 0.93711286 0.935547 0.93633 0.028163          
180 1.8 7.68 0.93554713 0.933951 0.934749 0.028116          
181 1.81 7.722667 0.93395129 0.932325 0.933138 0.028067          
182 1.82 7.765333 0.93232499 0.930668 0.931496 0.028018          
183 1.83 7.808 0.93066794 0.92898 0.929824 0.027967          
184 1.84 7.850667 0.9289798 0.92726 0.92812 0.027916          
185 1.85 7.893333 0.92726028 0.925509 0.926385 0.027864          
186 1.86 7.936 0.92550905 0.923726 0.924617 0.027811          
187 1.87 7.978667 0.92372582 0.92191 0.922818 0.027757          
188 1.88 8.021333 0.92191029 0.920062 0.920986 0.027702          
189 1.89 8.064 0.92006217 0.918181 0.919122 0.027645          
190 1.9 8.106667 0.91818116 0.916267 0.917224 0.027588          
191 1.91 8.149333 0.91626698 0.914319 0.915293 0.02753          
192 1.92 8.192 0.91431935 0.912338 0.913329 0.027471          
193 1.93 8.234667 0.91233801 0.910323 0.91133 0.027411          
194 1.94 8.277333 0.91032268 0.908273 0.909298 0.02735          
195 1.95 8.32 0.9082731 0.906189 0.907231 0.027288          
196 1.96 8.362667 0.90618902 0.90407 0.90513 0.027225          
197 1.97 8.405333 0.9040702 0.901916 0.902993 0.02716          
198 1.98 8.448 0.90191639 0.899727 0.900822 0.027095          
199 1.99 8.490667 0.89972737 0.897503 0.898615 0.027029          
200 2 8.533333 0.89750289 0.895243 0.896373 0.026961          
201 2.01 8.576 0.89524276 0.892947 0.894095 0.026893          
202 2.02 8.618667 0.89294675 0.890615 0.891781 0.026823          
203 2.03 8.661333 0.89061467 0.888246 0.88943 0.026752          
204 2.04 8.704 0.88824631 0.885842 0.887044 0.026681          
205 2.05 8.746667 0.88584151 0.8834 0.884621 0.026608          
206 2.06 8.789333 0.88340007 0.880922 0.882161 0.026534          
207 2.07 8.832 0.88092183 0.878407 0.879664 0.026459          
208 2.08 8.874667 0.87840664 0.875854 0.87713 0.026382          
209 2.09 8.917333 0.87585434 0.873265 0.87456 0.026305          
210 2.1 8.96 0.87326479 0.870638 0.871951 0.026227          
211 2.11 9.002667 0.87063787 0.867973 0.869306 0.026147          
212 2.12 9.045333 0.86797345 0.865271 0.866622 0.026066          
213 2.13 9.088 0.86527142 0.862532 0.863902 0.025985          
214 2.14 9.130667 0.86253169 0.859754 0.861143 0.025902          
215 2.15 9.173333 0.85975417 0.856939 0.858346 0.025817          
216 2.16 9.216 0.85693878 0.854085 0.855512 0.025732          
217 2.17 9.258667 0.85408545 0.851194 0.85264 0.025646          
218 2.18 9.301333 0.85119412 0.848265 0.849729 0.025558          
219 2.19 9.344 0.84826475 0.845297 0.846781 0.02547          
220 2.2 9.386667 0.84529731 0.842292 0.843795 0.02538          
221 2.21 9.429333 0.84229178 0.839248 0.84077 0.025289          
222 2.22 9.472 0.83924815 0.836166 0.837707 0.025197          
223 2.23 9.514667 0.83616641 0.833047 0.834607 0.025103          
224 2.24 9.557333 0.83304659 0.829889 0.831468 0.025009          
225 2.25 9.6 0.82988871 0.826693 0.828291 0.024913          
226 2.26 9.642667 0.8266928 0.823459 0.825076 0.024817          
227 2.27 9.685333 0.82345893 0.820187 0.821823 0.024719          
228 2.28 9.728 0.82018715 0.816878 0.818532 0.02462          
229 2.29 9.770667 0.81687754 0.81353 0.815204 0.02452          
230 2.3 9.813333 0.81353019 0.810145 0.811838 0.024419          
231 2.31 9.856 0.81014521 0.806723 0.808434 0.024316          
232 2.32 9.898667 0.80672271 0.803263 0.804993 0.024213          
233 2.33 9.941333 0.80326281 0.799766 0.801514 0.024108          
234 2.34 9.984 0.79976567 0.796231 0.797999 0.024002          
235 2.35 10.02667 0.79623143 0.79266 0.794446 0.023895          
236 2.36 10.06933 0.79266027 0.789052 0.790856 0.023787          
237 2.37 10.112 0.78905236 0.785408 0.78723 0.023678          
238 2.38 10.15467 0.78540791 0.781727 0.783568 0.023568          
239 2.39 10.19733 0.78172712 0.77801 0.779869 0.023457          
240 2.4 10.24 0.77801022 0.774257 0.776134 0.023345          
241 2.41 10.28267 0.77425744 0.770469 0.772363 0.023231          
242 2.42 10.32533 0.77046904 0.766645 0.768557 0.023117          
243 2.43 10.368 0.76664527 0.762786 0.764716 0.023001          
244 2.44 10.41067 0.76278641 0.758893 0.76084 0.022885          
245 2.45 10.45333 0.75889277 0.754965 0.756929 0.022767          
246 2.46 10.496 0.75496463 0.751002 0.752983 0.022648          
247 2.47 10.53867 0.75100232 0.747006 0.749004 0.022529          
248 2.48 10.58133 0.74700618 0.742977 0.744991 0.022408          
249 2.49 10.624 0.74297654 0.738914 0.740945 0.022286          
250 2.5 10.66667 0.73891377 0.734818 0.736866 0.022164          
251 2.51 10.70933 0.73481823 0.73069 0.732754 0.02204          
252 2.52 10.752 0.73069032 0.72653 0.72861 0.021915          
253 2.53 10.79467 0.72653044 0.722339 0.724435 0.02179          
254 2.54 10.83733 0.72233899 0.718116 0.720228 0.021663          
255 2.55 10.88 0.71811641 0.713863 0.71599 0.021536          
256 2.56 10.92267 0.71386312 0.70958 0.711721 0.021407          
257 2.57 10.96533 0.70957959 0.705266 0.707423 0.021278          
258 2.58 11.008 0.70526627 0.700924 0.703095 0.021148          
259 2.59 11.05067 0.70092365 0.696552 0.698738 0.021017          
260 2.6 11.09333 0.69655221 0.692152 0.694352 0.020885          
261 2.61 11.136 0.69215245 0.687725 0.689939 0.020752          
262 2.62 11.17867 0.6877249 0.68327 0.685497 0.020618          
263 2.63 11.22133 0.68327006 0.678788 0.681029 0.020484          
264 2.64 11.264 0.67878849 0.674281 0.676535 0.020349          
265 2.65 11.30667 0.67428073 0.669747 0.672014 0.020213          
266 2.66 11.34933 0.66974734 0.665189 0.667468 0.020076          
267 2.67 11.392 0.6651889 0.660606 0.662897 0.019939          
268 2.68 11.43467 0.66060599 0.655999 0.658303 0.019801          
269 2.69 11.47733 0.65599919 0.651369 0.653684 0.019662          
270 2.7 11.52 0.65136913 0.646716 0.649043 0.019522          
271 2.71 11.56267 0.64671641 0.642042 0.644379 0.019382          
272 2.72 11.60533 0.64204165 0.637346 0.639694 0.019241          
273 2.73 11.648 0.6373455 0.632629 0.634987 0.019099          
274 2.74 11.69067 0.6326286 0.627892 0.63026 0.018957          
275 2.75 11.73333 0.6278916 0.623135 0.625513 0.018814          
276 2.76 11.776 0.62313517 0.61836 0.620748 0.018671          
277 2.77 11.81867 0.61835997 0.613567 0.615963 0.018527          
278 2.78 11.86133 0.61356669 0.608756 0.611161 0.018383          
279 2.79 11.904 0.60875603 0.603929 0.606342 0.018238          
280 2.8 11.94667 0.60392866 0.599085 0.601507 0.018092          
281 2.81 11.98933 0.59908531 0.594227 0.596656 0.017946          
282 2.82 12.032 0.59422668 0.589353 0.59179 0.0178          
283 2.83 12.07467 0.5893535 0.584466 0.58691 0.017653          
284 2.84 12.11733 0.58446648 0.579566 0.582016 0.017506          
285 2.85 12.16 0.57956636 0.574654 0.57711 0.017358          
286 2.86 12.20267 0.57465388 0.56973 0.572192 0.01721          
287 2.87 12.24533 0.56972979 0.564795 0.567262 0.017062          
288 2.88 12.288 0.56479482 0.55985 0.562322 0.016914          
289 2.89 12.33067 0.55984975 0.554895 0.557373 0.016765          
290 2.9 12.37333 0.55489532 0.549932 0.552414 0.016616          
291 2.91 12.416 0.5499323 0.544961 0.547447 0.016466          
292 2.92 12.45867 0.54496145 0.539984 0.542473 0.016317          
293 2.93 12.50133 0.53998356 0.534999 0.537491 0.016167          
294 2.94 12.544 0.53499939 0.53001 0.532505 0.016017          
295 2.95 12.58667 0.53000972 0.525015 0.527513 0.015867          
296 2.96 12.62933 0.52501533 0.520017 0.522516 0.015716          
297 2.97 12.672 0.520017 0.515016 0.517516 0.015566          
298 2.98 12.71467 0.51501552 0.510012 0.512514 0.015415          
299 2.99 12.75733 0.51001167 0.505006 0.507509 0.015265          
300 3 12.8 0.50500623 0.5 0.502503 0.015114          
        SUM   17.0907          

 

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)= 4.8535
Qo= 117.37 vph   Ko=   9.169531 veh/mile        
MU 12.80 mph   No=   28  veh        
SIGMA 3.40 mph   ALPHAO= 0.1091 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 52.10   PER HOUR= 222.30
        STANDARD DEVIATION= 7.22     5
        DETERMINISTIC  EQUATION= 55.02      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       27.50859          
1 0.01 0.042667 0.9999166 0.999912 0.999914 0.091687          
2 0.02 0.085333 0.99991231 0.999908 0.99991 0.091687          
3 0.03 0.128 0.99990782 0.999903 0.999905 0.091687          
4 0.04 0.170667 0.99990311 0.999898 0.999901 0.091686          
5 0.05 0.213333 0.99989817 0.999893 0.999896 0.091686          
6 0.06 0.256 0.999893 0.999888 0.99989 0.091685          
7 0.07 0.298667 0.99988758 0.999882 0.999885 0.091685          
8 0.08 0.341333 0.99988191 0.999876 0.999879 0.091684          
9 0.09 0.384 0.99987597 0.99987 0.999873 0.091684          
10 0.1 0.426667 0.99986974 0.999863 0.999866 0.091683          
11 0.11 0.469333 0.99986323 0.999856 0.99986 0.091682          
12 0.12 0.512 0.99985641 0.999849 0.999853 0.091682          
13 0.13 0.554667 0.99984928 0.999842 0.999846 0.091681          
14 0.14 0.597333 0.99984181 0.999834 0.999838 0.09168          
15 0.15 0.64 0.999834 0.999826 0.99983 0.09168          
16 0.16 0.682667 0.99982583 0.999817 0.999822 0.091679          
17 0.17 0.725333 0.99981728 0.999808 0.999813 0.091678          
18 0.18 0.768 0.99980835 0.999799 0.999804 0.091677          
19 0.19 0.810667 0.999799 0.999789 0.999794 0.091676          
20 0.2 0.853333 0.99978923 0.999779 0.999784 0.091676          
21 0.21 0.896 0.99977902 0.999768 0.999774 0.091675          
22 0.22 0.938667 0.99976835 0.999757 0.999763 0.091674          
23 0.23 0.981333 0.9997572 0.999746 0.999751 0.091673          
24 0.24 1.024 0.99974555 0.999733 0.999739 0.091671          
25 0.25 1.066667 0.99973338 0.999721 0.999727 0.09167          
26 0.26 1.109333 0.99972068 0.999707 0.999714 0.091669          
27 0.27 1.152 0.9997074 0.999694 0.9997 0.091668          
28 0.28 1.194667 0.99969355 0.999679 0.999686 0.091667          
29 0.29 1.237333 0.99967908 0.999664 0.999672 0.091665          
30 0.3 1.28 0.99966398 0.999648 0.999656 0.091664          
31 0.31 1.322667 0.99964823 0.999632 0.99964 0.091662          
32 0.32 1.365333 0.99963179 0.999615 0.999623 0.091661          
33 0.33 1.408 0.99961464 0.999597 0.999606 0.091659          
34 0.34 1.450667 0.99959674 0.999578 0.999587 0.091657          
35 0.35 1.493333 0.99957808 0.999559 0.999568 0.091656          
36 0.36 1.536 0.99955863 0.999538 0.999548 0.091654          
37 0.37 1.578667 0.99953834 0.999517 0.999528 0.091652          
38 0.38 1.621333 0.99951719 0.999495 0.999506 0.09165          
39 0.39 1.664 0.99949515 0.999472 0.999484 0.091648          
40 0.4 1.706667 0.99947218 0.999448 0.99946 0.091646          
41 0.41 1.749333 0.99944825 0.999423 0.999436 0.091644          
42 0.42 1.792 0.99942331 0.999397 0.99941 0.091641          
43 0.43 1.834667 0.99939734 0.99937 0.999384 0.091639          
44 0.44 1.877333 0.99937029 0.999342 0.999356 0.091636          
45 0.45 1.92 0.99934212 0.999313 0.999327 0.091634          
46 0.46 1.962667 0.9993128 0.999282 0.999298 0.091631          
47 0.47 2.005333 0.99928227 0.99925 0.999266 0.091628          
48 0.48 2.048 0.9992505 0.999217 0.999234 0.091625          
49 0.49 2.090667 0.99921744 0.999183 0.9992 0.091622          
50 0.5 2.133333 0.99918303 0.999147 0.999165 0.091619          
51 0.51 2.176 0.99914724 0.99911 0.999129 0.091615          
52 0.52 2.218667 0.99911002 0.999071 0.999091 0.091612          
53 0.53 2.261333 0.9990713 0.999031 0.999051 0.091608          
54 0.54 2.304 0.99903105 0.998989 0.99901 0.091605          
55 0.55 2.346667 0.99898919 0.998946 0.998967 0.091601          
56 0.56 2.389333 0.99894569 0.9989 0.998923 0.091597          
57 0.57 2.432 0.99890047 0.998853 0.998877 0.091592          
58 0.58 2.474667 0.99885348 0.998805 0.998829 0.091588          
59 0.59 2.517333 0.99880466 0.998754 0.998779 0.091583          
60 0.6 2.56 0.99875394 0.998701 0.998728 0.091579          
61 0.61 2.602667 0.99870126 0.998647 0.998674 0.091574          
62 0.62 2.645333 0.99864655 0.99859 0.998618 0.091569          
63 0.63 2.688 0.99858975 0.998531 0.99856 0.091563          
64 0.64 2.730667 0.99853077 0.99847 0.9985 0.091558          
65 0.65 2.773333 0.99846955 0.998406 0.998438 0.091552          
66 0.66 2.816 0.99840601 0.99834 0.998373 0.091546          
67 0.67 2.858667 0.99834008 0.998272 0.998306 0.09154          
68 0.68 2.901333 0.99827167 0.998201 0.998236 0.091534          
69 0.69 2.944 0.99820071 0.998127 0.998164 0.091527          
70 0.7 2.986667 0.9981271 0.998051 0.998089 0.09152          
71 0.71 3.029333 0.99805077 0.997972 0.998011 0.091513          
72 0.72 3.072 0.99797163 0.99789 0.997931 0.091506          
73 0.73 3.114667 0.99788957 0.997805 0.997847 0.091498          
74 0.74 3.157333 0.99780452 0.997716 0.99776 0.09149          
75 0.75 3.2 0.99771638 0.997625 0.997671 0.091482          
76 0.76 3.242667 0.99762503 0.99753 0.997578 0.091473          
77 0.77 3.285333 0.9975304 0.997432 0.997481 0.091464          
78 0.78 3.328 0.99743237 0.997331 0.997382 0.091455          
79 0.79 3.370667 0.99733083 0.997226 0.997278 0.091446          
80 0.8 3.413333 0.99722568 0.997117 0.997171 0.091436          
81 0.81 3.456 0.99711681 0.997004 0.99706 0.091426          
82 0.82 3.498667 0.9970041 0.996887 0.996946 0.091415          
83 0.83 3.541333 0.99688743 0.996767 0.996827 0.091404          
84 0.84 3.584 0.99676669 0.996642 0.996704 0.091393          
85 0.85 3.626667 0.99664175 0.996512 0.996577 0.091381          
86 0.86 3.669333 0.99651249 0.996379 0.996446 0.091369          
87 0.87 3.712 0.99637878 0.99624 0.99631 0.091357          
88 0.88 3.754667 0.99624048 0.996097 0.996169 0.091344          
89 0.89 3.797333 0.99609747 0.99595 0.996024 0.091331          
90 0.9 3.84 0.9959496 0.995797 0.995873 0.091317          
91 0.91 3.882667 0.99579674 0.995639 0.995718 0.091303          
92 0.92 3.925333 0.99563874 0.995475 0.995557 0.091288          
93 0.93 3.968 0.99547545 0.995307 0.995391 0.091273          
94 0.94 4.010667 0.99530672 0.995132 0.99522 0.091257          
95 0.95 4.053333 0.9951324 0.994952 0.995042 0.091241          
96 0.96 4.096 0.99495234 0.994766 0.994859 0.091224          
97 0.97 4.138667 0.99476637 0.994574 0.99467 0.091207          
98 0.98 4.181333 0.99457432 0.994376 0.994475 0.091189          
99 0.99 4.224 0.99437604 0.994171 0.994274 0.09117          
100 1 4.266667 0.99417135 0.99396 0.994066 0.091151          
101 1.01 4.309333 0.99396007 0.993742 0.993851 0.091131          
102 1.02 4.352 0.99374204 0.993517 0.99363 0.091111          
103 1.03 4.394667 0.99351706 0.993285 0.993401 0.09109          
104 1.04 4.437333 0.99328496 0.993046 0.993165 0.091069          
105 1.05 4.48 0.99304555 0.992799 0.992922 0.091046          
106 1.06 4.522667 0.99279863 0.992544 0.992671 0.091023          
107 1.07 4.565333 0.99254401 0.992281 0.992413 0.091          
108 1.08 4.608 0.99228149 0.992011 0.992146 0.090975          
109 1.09 4.650667 0.99201088 0.991732 0.991871 0.09095          
110 1.1 4.693333 0.99173195 0.991445 0.991588 0.090924          
111 1.11 4.736 0.99144451 0.991148 0.991296 0.090897          
112 1.12 4.778667 0.99114833 0.990843 0.990996 0.09087          
113 1.13 4.821333 0.99084321 0.990529 0.990686 0.090841          
114 1.14 4.864 0.99052892 0.990205 0.990367 0.090812          
115 1.15 4.906667 0.99020524 0.989872 0.990039 0.090782          
116 1.16 4.949333 0.98987194 0.989529 0.9897 0.090751          
117 1.17 4.992 0.98952878 0.989176 0.989352 0.090719          
118 1.18 5.034667 0.98917554 0.988812 0.988994 0.090686          
119 1.19 5.077333 0.98881196 0.988438 0.988625 0.090652          
120 1.2 5.12 0.98843782 0.988053 0.988245 0.090617          
121 1.21 5.162667 0.98805286 0.987657 0.987855 0.090582          
122 1.22 5.205333 0.98765682 0.987249 0.987453 0.090545          
123 1.23 5.248 0.98724947 0.986831 0.98704 0.090507          
124 1.24 5.290667 0.98683054 0.9864 0.986615 0.090468          
125 1.25 5.333333 0.98639976 0.985957 0.986178 0.090428          
126 1.26 5.376 0.98595688 0.985502 0.985729 0.090387          
127 1.27 5.418667 0.98550163 0.985034 0.985268 0.090344          
128 1.28 5.461333 0.98503373 0.984553 0.984793 0.090301          
129 1.29 5.504 0.9845529 0.984059 0.984306 0.090256          
130 1.3 5.546667 0.98405887 0.983551 0.983805 0.09021          
131 1.31 5.589333 0.98355136 0.98303 0.983291 0.090163          
132 1.32 5.632 0.98303008 0.982495 0.982762 0.090115          
133 1.33 5.674667 0.98249474 0.981945 0.98222 0.090065          
134 1.34 5.717333 0.98194505 0.981381 0.981663 0.090014          
135 1.35 5.76 0.98138071 0.980801 0.981091 0.089961          
136 1.36 5.802667 0.98080142 0.980207 0.980504 0.089908          
137 1.37 5.845333 0.98020688 0.979597 0.979902 0.089852          
138 1.38 5.888 0.97959679 0.978971 0.979284 0.089796          
139 1.39 5.930667 0.97897084 0.978329 0.97865 0.089738          
140 1.4 5.973333 0.97832871 0.97767 0.977999 0.089678          
141 1.41 6.016 0.97767009 0.976995 0.977332 0.089617          
142 1.42 6.058667 0.97699466 0.976302 0.976648 0.089554          
143 1.43 6.101333 0.97630212 0.975592 0.975947 0.08949          
144 1.44 6.144 0.97559212 0.974864 0.975228 0.089424          
145 1.45 6.186667 0.97486435 0.974118 0.974491 0.089356          
146 1.46 6.229333 0.97411848 0.973354 0.973736 0.089287          
147 1.47 6.272 0.97335418 0.972571 0.972963 0.089216          
148 1.48 6.314667 0.97257112 0.971769 0.97217 0.089143          
149 1.49 6.357333 0.97176896 0.970947 0.971358 0.089069          
150 1.5 6.4 0.97094737 0.970106 0.970527 0.088993          
151 1.51 6.442667 0.97010601 0.969245 0.969675 0.088915          
152 1.52 6.485333 0.96924454 0.968363 0.968804 0.088835          
153 1.53 6.528 0.96836261 0.96746 0.967911 0.088753          
154 1.54 6.570667 0.96745989 0.966536 0.966998 0.088669          
155 1.55 6.613333 0.96653603 0.965591 0.966063 0.088583          
156 1.56 6.656 0.96559068 0.964624 0.965107 0.088496          
157 1.57 6.698667 0.9646235 0.963634 0.964129 0.088406          
158 1.58 6.741333 0.96363413 0.962622 0.963128 0.088314          
159 1.59 6.784 0.96262224 0.961587 0.962105 0.088221          
160 1.6 6.826667 0.96158746 0.960529 0.961058 0.088125          
161 1.61 6.869333 0.96052944 0.959448 0.959989 0.088026          
162 1.62 6.912 0.95944784 0.958342 0.958895 0.087926          
163 1.63 6.954667 0.95834231 0.957212 0.957777 0.087824          
164 1.64 6.997333 0.95721248 0.956058 0.956635 0.087719          
165 1.65 7.04 0.95605802 0.954879 0.955468 0.087612          
166 1.66 7.082667 0.95487856 0.953674 0.954276 0.087503          
167 1.67 7.125333 0.95367377 0.952443 0.953059 0.087391          
168 1.68 7.168 0.95244328 0.951187 0.951815 0.087277          
169 1.69 7.210667 0.95118674 0.949904 0.950545 0.087161          
170 1.7 7.253333 0.94990381 0.948594 0.949249 0.087042          
171 1.71 7.296 0.94859414 0.947257 0.947926 0.08692          
172 1.72 7.338667 0.94725739 0.945893 0.946575 0.086797          
173 1.73 7.381333 0.9458932 0.944501 0.945197 0.08667          
174 1.74 7.424 0.94450123 0.943081 0.943791 0.086541          
175 1.75 7.466667 0.94308115 0.941633 0.942357 0.08641          
176 1.76 7.509333 0.94163261 0.940155 0.940894 0.086276          
177 1.77 7.552 0.94015527 0.938649 0.939402 0.086139          
178 1.78 7.594667 0.9386488 0.937113 0.937881 0.085999          
179 1.79 7.637333 0.93711286 0.935547 0.93633 0.085857          
180 1.8 7.68 0.93554713 0.933951 0.934749 0.085712          
181 1.81 7.722667 0.93395129 0.932325 0.933138 0.085564          
182 1.82 7.765333 0.93232499 0.930668 0.931496 0.085414          
183 1.83 7.808 0.93066794 0.92898 0.929824 0.08526          
184 1.84 7.850667 0.9289798 0.92726 0.92812 0.085104          
185 1.85 7.893333 0.92726028 0.925509 0.926385 0.084945          
186 1.86 7.936 0.92550905 0.923726 0.924617 0.084783          
187 1.87 7.978667 0.92372582 0.92191 0.922818 0.084618          
188 1.88 8.021333 0.92191029 0.920062 0.920986 0.08445          
189 1.89 8.064 0.92006217 0.918181 0.919122 0.084279          
190 1.9 8.106667 0.91818116 0.916267 0.917224 0.084105          
191 1.91 8.149333 0.91626698 0.914319 0.915293 0.083928          
192 1.92 8.192 0.91431935 0.912338 0.913329 0.083748          
193 1.93 8.234667 0.91233801 0.910323 0.91133 0.083565          
194 1.94 8.277333 0.91032268 0.908273 0.909298 0.083378          
195 1.95 8.32 0.9082731 0.906189 0.907231 0.083189          
196 1.96 8.362667 0.90618902 0.90407 0.90513 0.082996          
197 1.97 8.405333 0.9040702 0.901916 0.902993 0.0828          
198 1.98 8.448 0.90191639 0.899727 0.900822 0.082601          
199 1.99 8.490667 0.89972737 0.897503 0.898615 0.082399          
200 2 8.533333 0.89750289 0.895243 0.896373 0.082193          
201 2.01 8.576 0.89524276 0.892947 0.894095 0.081984          
202 2.02 8.618667 0.89294675 0.890615 0.891781 0.081772          
203 2.03 8.661333 0.89061467 0.888246 0.88943 0.081557          
204 2.04 8.704 0.88824631 0.885842 0.887044 0.081338          
205 2.05 8.746667 0.88584151 0.8834 0.884621 0.081116          
206 2.06 8.789333 0.88340007 0.880922 0.882161 0.08089          
207 2.07 8.832 0.88092183 0.878407 0.879664 0.080661          
208 2.08 8.874667 0.87840664 0.875854 0.87713 0.080429          
209 2.09 8.917333 0.87585434 0.873265 0.87456 0.080193          
210 2.1 8.96 0.87326479 0.870638 0.871951 0.079954          
211 2.11 9.002667 0.87063787 0.867973 0.869306 0.079711          
212 2.12 9.045333 0.86797345 0.865271 0.866622 0.079465          
213 2.13 9.088 0.86527142 0.862532 0.863902 0.079216          
214 2.14 9.130667 0.86253169 0.859754 0.861143 0.078963          
215 2.15 9.173333 0.85975417 0.856939 0.858346 0.078706          
216 2.16 9.216 0.85693878 0.854085 0.855512 0.078446          
217 2.17 9.258667 0.85408545 0.851194 0.85264 0.078183          
218 2.18 9.301333 0.85119412 0.848265 0.849729 0.077916          
219 2.19 9.344 0.84826475 0.845297 0.846781 0.077646          
220 2.2 9.386667 0.84529731 0.842292 0.843795 0.077372          
221 2.21 9.429333 0.84229178 0.839248 0.84077 0.077095          
222 2.22 9.472 0.83924815 0.836166 0.837707 0.076814          
223 2.23 9.514667 0.83616641 0.833047 0.834607 0.07653          
224 2.24 9.557333 0.83304659 0.829889 0.831468 0.076242          
225 2.25 9.6 0.82988871 0.826693 0.828291 0.07595          
226 2.26 9.642667 0.8266928 0.823459 0.825076 0.075656          
227 2.27 9.685333 0.82345893 0.820187 0.821823 0.075357          
228 2.28 9.728 0.82018715 0.816878 0.818532 0.075056          
229 2.29 9.770667 0.81687754 0.81353 0.815204 0.07475          
230 2.3 9.813333 0.81353019 0.810145 0.811838 0.074442          
231 2.31 9.856 0.81014521 0.806723 0.808434 0.07413          
232 2.32 9.898667 0.80672271 0.803263 0.804993 0.073814          
233 2.33 9.941333 0.80326281 0.799766 0.801514 0.073495          
234 2.34 9.984 0.79976567 0.796231 0.797999 0.073173          
235 2.35 10.02667 0.79623143 0.79266 0.794446 0.072847          
236 2.36 10.06933 0.79266027 0.789052 0.790856 0.072518          
237 2.37 10.112 0.78905236 0.785408 0.78723 0.072185          
238 2.38 10.15467 0.78540791 0.781727 0.783568 0.071849          
239 2.39 10.19733 0.78172712 0.77801 0.779869 0.07151          
240 2.4 10.24 0.77801022 0.774257 0.776134 0.071168          
241 2.41 10.28267 0.77425744 0.770469 0.772363 0.070822          
242 2.42 10.32533 0.77046904 0.766645 0.768557 0.070473          
243 2.43 10.368 0.76664527 0.762786 0.764716 0.070121          
244 2.44 10.41067 0.76278641 0.758893 0.76084 0.069765          
245 2.45 10.45333 0.75889277 0.754965 0.756929 0.069407          
246 2.46 10.496 0.75496463 0.751002 0.752983 0.069045          
247 2.47 10.53867 0.75100232 0.747006 0.749004 0.06868          
248 2.48 10.58133 0.74700618 0.742977 0.744991 0.068312          
249 2.49 10.624 0.74297654 0.738914 0.740945 0.067941          
250 2.5 10.66667 0.73891377 0.734818 0.736866 0.067567          
251 2.51 10.70933 0.73481823 0.73069 0.732754 0.06719          
252 2.52 10.752 0.73069032 0.72653 0.72861 0.06681          
253 2.53 10.79467 0.72653044 0.722339 0.724435 0.066427          
254 2.54 10.83733 0.72233899 0.718116 0.720228 0.066042          
255 2.55 10.88 0.71811641 0.713863 0.71599 0.065653          
256 2.56 10.92267 0.71386312 0.70958 0.711721 0.065262          
257 2.57 10.96533 0.70957959 0.705266 0.707423 0.064867          
258 2.58 11.008 0.70526627 0.700924 0.703095 0.064471          
259 2.59 11.05067 0.70092365 0.696552 0.698738 0.064071          
260 2.6 11.09333 0.69655221 0.692152 0.694352 0.063669          
261 2.61 11.136 0.69215245 0.687725 0.689939 0.063264          
262 2.62 11.17867 0.6877249 0.68327 0.685497 0.062857          
263 2.63 11.22133 0.68327006 0.678788 0.681029 0.062447          
264 2.64 11.264 0.67878849 0.674281 0.676535 0.062035          
265 2.65 11.30667 0.67428073 0.669747 0.672014 0.061621          
266 2.66 11.34933 0.66974734 0.665189 0.667468 0.061204          
267 2.67 11.392 0.6651889 0.660606 0.662897 0.060785          
268 2.68 11.43467 0.66060599 0.655999 0.658303 0.060363          
269 2.69 11.47733 0.65599919 0.651369 0.653684 0.05994          
270 2.7 11.52 0.65136913 0.646716 0.649043 0.059514          
271 2.71 11.56267 0.64671641 0.642042 0.644379 0.059087          
272 2.72 11.60533 0.64204165 0.637346 0.639694 0.058657          
273 2.73 11.648 0.6373455 0.632629 0.634987 0.058225          
274 2.74 11.69067 0.6326286 0.627892 0.63026 0.057792          
275 2.75 11.73333 0.6278916 0.623135 0.625513 0.057357          
276 2.76 11.776 0.62313517 0.61836 0.620748 0.05692          
277 2.77 11.81867 0.61835997 0.613567 0.615963 0.056481          
278 2.78 11.86133 0.61356669 0.608756 0.611161 0.056041          
279 2.79 11.904 0.60875603 0.603929 0.606342 0.055599          
280 2.8 11.94667 0.60392866 0.599085 0.601507 0.055155          
281 2.81 11.98933 0.59908531 0.594227 0.596656 0.054711          
282 2.82 12.032 0.59422668 0.589353 0.59179 0.054264          
283 2.83 12.07467 0.5893535 0.584466 0.58691 0.053817          
284 2.84 12.11733 0.58446648 0.579566 0.582016 0.053368          
285 2.85 12.16 0.57956636 0.574654 0.57711 0.052918          
286 2.86 12.20267 0.57465388 0.56973 0.572192 0.052467          
287 2.87 12.24533 0.56972979 0.564795 0.567262 0.052015          
288 2.88 12.288 0.56479482 0.55985 0.562322 0.051562          
289 2.89 12.33067 0.55984975 0.554895 0.557373 0.051108          
290 2.9 12.37333 0.55489532 0.549932 0.552414 0.050654          
291 2.91 12.416 0.5499323 0.544961 0.547447 0.050198          
292 2.92 12.45867 0.54496145 0.539984 0.542473 0.049742          
293 2.93 12.50133 0.53998356 0.534999 0.537491 0.049285          
294 2.94 12.544 0.53499939 0.53001 0.532505 0.048828          
295 2.95 12.58667 0.53000972 0.525015 0.527513 0.04837          
296 2.96 12.62933 0.52501533 0.520017 0.522516 0.047912          
297 2.97 12.672 0.520017 0.515016 0.517516 0.047454          
298 2.98 12.71467 0.51501552 0.510012 0.512514 0.046995          
299 2.99 12.75733 0.51001167 0.505006 0.507509 0.046536          
300 3 12.8 0.50500623 0.5 0.502503 0.046077          
        SUM   52.10223          

 

FHWA-HRT-05-138

 

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