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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 Child 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)= 2.8874
Qo= 7.77 vph   Ko=   0.983544 veh/mile        
MU 7.90 mph   No=   3  veh        
SIGMA 1.90 mph   ALPHAO= 1.0167 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 4.77   PER HOUR= 20.36
        STANDARD DEVIATION= 2.18     1
        DETERMINISTIC  EQUATION= 4.77      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       2.950633          
1 0.01 0.042667 0.99998393 0.999982 0.999983 0.009835          
2 0.02 0.085333 0.99998228 0.99998 0.999981 0.009835          
3 0.03 0.128 0.99998046 0.999978 0.999979 0.009835          
4 0.04 0.170667 0.99997847 0.999976 0.999977 0.009835          
5 0.05 0.213333 0.99997629 0.999974 0.999975 0.009835          
6 0.06 0.256 0.99997389 0.999971 0.999973 0.009835          
7 0.07 0.298667 0.99997127 0.999968 0.99997 0.009835          
8 0.08 0.341333 0.99996841 0.999965 0.999967 0.009835          
9 0.09 0.384 0.99996527 0.999962 0.999964 0.009835          
10 0.1 0.426667 0.99996184 0.999958 0.99996 0.009835          
11 0.11 0.469333 0.99995809 0.999954 0.999956 0.009835          
12 0.12 0.512 0.999954 0.99995 0.999952 0.009835          
13 0.13 0.554667 0.99994953 0.999945 0.999947 0.009835          
14 0.14 0.597333 0.99994465 0.999939 0.999942 0.009835          
15 0.15 0.64 0.99993933 0.999934 0.999936 0.009835          
16 0.16 0.682667 0.99993354 0.999927 0.99993 0.009835          
17 0.17 0.725333 0.99992722 0.99992 0.999924 0.009835          
18 0.18 0.768 0.99992034 0.999913 0.999917 0.009835          
19 0.19 0.810667 0.99991285 0.999905 0.999909 0.009835          
20 0.2 0.853333 0.9999047 0.999896 0.9999 0.009834          
21 0.21 0.896 0.99989584 0.999886 0.999891 0.009834          
22 0.22 0.938667 0.99988621 0.999876 0.999881 0.009834          
23 0.23 0.981333 0.99987575 0.999864 0.99987 0.009834          
24 0.24 1.024 0.99986439 0.999852 0.999858 0.009834          
25 0.25 1.066667 0.99985206 0.999839 0.999845 0.009834          
26 0.26 1.109333 0.99983869 0.999824 0.999831 0.009834          
27 0.27 1.152 0.9998242 0.999808 0.999816 0.009834          
28 0.28 1.194667 0.9998085 0.999791 0.9998 0.009833          
29 0.29 1.237333 0.99979149 0.999773 0.999782 0.009833          
30 0.3 1.28 0.99977308 0.999753 0.999763 0.009833          
31 0.31 1.322667 0.99975316 0.999732 0.999742 0.009833          
32 0.32 1.365333 0.99973162 0.999708 0.99972 0.009833          
33 0.33 1.408 0.99970834 0.999683 0.999696 0.009832          
34 0.34 1.450667 0.99968319 0.999656 0.99967 0.009832          
35 0.35 1.493333 0.99965603 0.999627 0.999641 0.009832          
36 0.36 1.536 0.99962673 0.999595 0.999611 0.009832          
37 0.37 1.578667 0.99959512 0.999561 0.999578 0.009831          
38 0.38 1.621333 0.99956104 0.999524 0.999543 0.009831          
39 0.39 1.664 0.99952432 0.999485 0.999505 0.009831          
40 0.4 1.706667 0.99948476 0.999442 0.999463 0.00983          
41 0.41 1.749333 0.99944219 0.999396 0.999419 0.00983          
42 0.42 1.792 0.99939638 0.999347 0.999372 0.009829          
43 0.43 1.834667 0.99934712 0.999294 0.999321 0.009829          
44 0.44 1.877333 0.99929417 0.999237 0.999266 0.009828          
45 0.45 1.92 0.99923728 0.999176 0.999207 0.009828          
46 0.46 1.962667 0.9991762 0.999111 0.999143 0.009827          
47 0.47 2.005333 0.99911064 0.99904 0.999075 0.009826          
48 0.48 2.048 0.99904032 0.998965 0.999003 0.009826          
49 0.49 2.090667 0.99896493 0.998884 0.998925 0.009825          
50 0.5 2.133333 0.99888414 0.998798 0.998841 0.009824          
51 0.51 2.176 0.9987976 0.998705 0.998751 0.009823          
52 0.52 2.218667 0.99870497 0.998606 0.998655 0.009822          
53 0.53 2.261333 0.99860584 0.9985 0.998553 0.009821          
54 0.54 2.304 0.99849984 0.998387 0.998443 0.00982          
55 0.55 2.346667 0.99838653 0.998265 0.998326 0.009819          
56 0.56 2.389333 0.99826548 0.998136 0.998201 0.009818          
57 0.57 2.432 0.99813621 0.997998 0.998067 0.009816          
58 0.58 2.474667 0.99799824 0.997851 0.997925 0.009815          
59 0.59 2.517333 0.99785106 0.997694 0.997773 0.009814          
60 0.6 2.56 0.99769414 0.997527 0.997611 0.009812          
61 0.61 2.602667 0.99752691 0.997349 0.997438 0.00981          
62 0.62 2.645333 0.99734879 0.997159 0.997254 0.009808          
63 0.63 2.688 0.99715916 0.996957 0.997058 0.009807          
64 0.64 2.730667 0.99695737 0.996743 0.99685 0.009804          
65 0.65 2.773333 0.99674277 0.996515 0.996629 0.009802          
66 0.66 2.816 0.99651465 0.996272 0.996393 0.0098          
67 0.67 2.858667 0.99627228 0.996015 0.996144 0.009798          
68 0.68 2.901333 0.9960149 0.995742 0.995878 0.009795          
69 0.69 2.944 0.99574172 0.995452 0.995597 0.009792          
70 0.7 2.986667 0.99545192 0.995145 0.995298 0.009789          
71 0.71 3.029333 0.99514463 0.994819 0.994982 0.009786          
72 0.72 3.072 0.99481897 0.994474 0.994646 0.009783          
73 0.73 3.114667 0.99447401 0.994109 0.994291 0.009779          
74 0.74 3.157333 0.9941088 0.993722 0.993916 0.009776          
75 0.75 3.2 0.99372234 0.993314 0.993518 0.009772          
76 0.76 3.242667 0.9933136 0.992882 0.993098 0.009768          
77 0.77 3.285333 0.99288151 0.992425 0.992653 0.009763          
78 0.78 3.328 0.99242497 0.991943 0.992184 0.009759          
79 0.79 3.370667 0.99194284 0.991434 0.991688 0.009754          
80 0.8 3.413333 0.99143394 0.990897 0.991166 0.009749          
81 0.81 3.456 0.99089706 0.990331 0.990614 0.009743          
82 0.82 3.498667 0.99033094 0.989734 0.990033 0.009737          
83 0.83 3.541333 0.98973429 0.989106 0.98942 0.009731          
84 0.84 3.584 0.98910579 0.988444 0.988775 0.009725          
85 0.85 3.626667 0.98844406 0.987748 0.988096 0.009718          
86 0.86 3.669333 0.9877477 0.987015 0.987381 0.009711          
87 0.87 3.712 0.98701526 0.986245 0.98663 0.009704          
88 0.88 3.754667 0.98624528 0.985436 0.985841 0.009696          
89 0.89 3.797333 0.98543622 0.984587 0.985011 0.009688          
90 0.9 3.84 0.98458654 0.983695 0.984141 0.009679          
91 0.91 3.882667 0.98369464 0.982759 0.983227 0.00967          
92 0.92 3.925333 0.9827589 0.981778 0.982268 0.009661          
93 0.93 3.968 0.98177767 0.980749 0.981263 0.009651          
94 0.94 4.010667 0.98074924 0.979672 0.980211 0.009641          
95 0.95 4.053333 0.97967189 0.978544 0.979108 0.00963          
96 0.96 4.096 0.97854386 0.977363 0.977954 0.009619          
97 0.97 4.138667 0.97736336 0.976129 0.976746 0.009607          
98 0.98 4.181333 0.97612859 0.974838 0.975483 0.009594          
99 0.99 4.224 0.97483768 0.973489 0.974163 0.009581          
100 1 4.266667 0.97348877 0.97208 0.972784 0.009568          
101 1.01 4.309333 0.97207997 0.970609 0.971345 0.009554          
102 1.02 4.352 0.97060935 0.969075 0.969842 0.009539          
103 1.03 4.394667 0.96907499 0.967475 0.968275 0.009523          
104 1.04 4.437333 0.96747491 0.965807 0.966641 0.009507          
105 1.05 4.48 0.96580716 0.96407 0.964938 0.009491          
106 1.06 4.522667 0.96406973 0.962261 0.963165 0.009473          
107 1.07 4.565333 0.96226065 0.960378 0.961319 0.009455          
108 1.08 4.608 0.96037789 0.958419 0.959399 0.009436          
109 1.09 4.650667 0.95841945 0.956383 0.957401 0.009416          
110 1.1 4.693333 0.95638332 0.954267 0.955325 0.009396          
111 1.11 4.736 0.95426746 0.95207 0.953169 0.009375          
112 1.12 4.778667 0.95206989 0.949789 0.950929 0.009353          
113 1.13 4.821333 0.94978858 0.947422 0.948605 0.00933          
114 1.14 4.864 0.94742155 0.944967 0.946194 0.009306          
115 1.15 4.906667 0.9449668 0.942422 0.943695 0.009282          
116 1.16 4.949333 0.94242237 0.939786 0.941104 0.009256          
117 1.17 4.992 0.93978633 0.937057 0.938422 0.00923          
118 1.18 5.034667 0.93705673 0.934232 0.935644 0.009202          
119 1.19 5.077333 0.93423169 0.931309 0.932771 0.009174          
120 1.2 5.12 0.93130935 0.928288 0.929799 0.009145          
121 1.21 5.162667 0.92828787 0.925165 0.926727 0.009115          
122 1.22 5.205333 0.92516548 0.92194 0.923553 0.009084          
123 1.23 5.248 0.92194042 0.918611 0.920276 0.009051          
124 1.24 5.290667 0.918611 0.915176 0.916893 0.009018          
125 1.25 5.333333 0.91517557 0.911633 0.913404 0.008984          
126 1.26 5.376 0.91163255 0.90798 0.909806 0.008948          
127 1.27 5.418667 0.90798041 0.904218 0.906099 0.008912          
128 1.28 5.461333 0.90421769 0.900343 0.90228 0.008874          
129 1.29 5.504 0.90034299 0.896355 0.898349 0.008836          
130 1.3 5.546667 0.89635499 0.892252 0.894304 0.008796          
131 1.31 5.589333 0.89225245 0.888034 0.890143 0.008755          
132 1.32 5.632 0.88803421 0.883699 0.885867 0.008713          
133 1.33 5.674667 0.88369918 0.879246 0.881473 0.00867          
134 1.34 5.717333 0.87924639 0.874675 0.876961 0.008625          
135 1.35 5.76 0.87467493 0.869984 0.872329 0.00858          
136 1.36 5.802667 0.86998401 0.865173 0.867578 0.008533          
137 1.37 5.845333 0.86517295 0.860241 0.862707 0.008485          
138 1.38 5.888 0.86024113 0.855188 0.857715 0.008436          
139 1.39 5.930667 0.8551881 0.850013 0.852601 0.008386          
140 1.4 5.973333 0.85001347 0.844717 0.847365 0.008334          
141 1.41 6.016 0.84471698 0.839299 0.842008 0.008282          
142 1.42 6.058667 0.83929852 0.833758 0.836528 0.008228          
143 1.43 6.101333 0.83375805 0.828096 0.830927 0.008173          
144 1.44 6.144 0.82809568 0.822312 0.825204 0.008116          
145 1.45 6.186667 0.82231167 0.816406 0.819359 0.008059          
146 1.46 6.229333 0.81640636 0.81038 0.813393 0.008          
147 1.47 6.272 0.81038025 0.804234 0.807307 0.00794          
148 1.48 6.314667 0.80423397 0.797968 0.801101 0.007879          
149 1.49 6.357333 0.79796829 0.791584 0.794776 0.007817          
150 1.5 6.4 0.79158411 0.785082 0.788333 0.007754          
151 1.51 6.442667 0.78508246 0.778465 0.781773 0.007689          
152 1.52 6.485333 0.77846453 0.771732 0.775098 0.007623          
153 1.53 6.528 0.77173162 0.764885 0.768308 0.007557          
154 1.54 6.570667 0.76488519 0.757927 0.761406 0.007489          
155 1.55 6.613333 0.75792685 0.750858 0.754393 0.00742          
156 1.56 6.656 0.75085831 0.743681 0.74727 0.00735          
157 1.57 6.698667 0.74368147 0.736398 0.74004 0.007279          
158 1.58 6.741333 0.73639833 0.729011 0.732705 0.007206          
159 1.59 6.784 0.72901104 0.721522 0.725266 0.007133          
160 1.6 6.826667 0.7215219 0.713933 0.717728 0.007059          
161 1.61 6.869333 0.71393332 0.706248 0.710091 0.006984          
162 1.62 6.912 0.70624787 0.698468 0.702358 0.006908          
163 1.63 6.954667 0.69846823 0.690597 0.694533 0.006831          
164 1.64 6.997333 0.69059721 0.682638 0.686617 0.006753          
165 1.65 7.04 0.68263777 0.674593 0.678615 0.006674          
166 1.66 7.082667 0.67459295 0.666466 0.670529 0.006595          
167 1.67 7.125333 0.66646596 0.65826 0.662363 0.006515          
168 1.68 7.168 0.65826007 0.649979 0.654119 0.006434          
169 1.69 7.210667 0.64997872 0.641625 0.645802 0.006352          
170 1.7 7.253333 0.64162542 0.633204 0.637415 0.006269          
171 1.71 7.296 0.63320378 0.624718 0.628961 0.006186          
172 1.72 7.338667 0.62471754 0.616171 0.620444 0.006102          
173 1.73 7.381333 0.61617051 0.607567 0.611869 0.006018          
174 1.74 7.424 0.60756659 0.59891 0.603238 0.005933          
175 1.75 7.466667 0.59890977 0.590204 0.594557 0.005848          
176 1.76 7.509333 0.59020412 0.581454 0.585829 0.005762          
177 1.77 7.552 0.58145377 0.572663 0.577058 0.005676          
178 1.78 7.594667 0.57266293 0.563836 0.568249 0.005589          
179 1.79 7.637333 0.56383586 0.554977 0.559406 0.005502          
180 1.8 7.68 0.55497688 0.54609 0.550534 0.005415          
181 1.81 7.722667 0.54609035 0.537181 0.541636 0.005327          
182 1.82 7.765333 0.53718069 0.528252 0.532717 0.00524          
183 1.83 7.808 0.52825232 0.51931 0.523781 0.005152          
184 1.84 7.850667 0.51930973 0.510357 0.514834 0.005064          
185 1.85 7.893333 0.51035739 0.5014 0.505879 0.004976          
186 1.86 7.936 0.5013998 0.492442 0.496921 0.004887          
187 1.87 7.978667 0.49244151 0.483487 0.487964 0.004799          
188 1.88 8.021333 0.48348704 0.474541 0.479014 0.004711          
189 1.89 8.064 0.47454092 0.465608 0.470074 0.004623          
190 1.9 8.106667 0.46560763 0.456692 0.46115 0.004536          
191 1.91 8.149333 0.45669164 0.447797 0.452245 0.004448          
192 1.92 8.192 0.44779741 0.438929 0.443363 0.004361          
193 1.93 8.234667 0.43892935 0.430092 0.434511 0.004274          
194 1.94 8.277333 0.43009184 0.421289 0.425691 0.004187          
195 1.95 8.32 0.42128922 0.412526 0.416907 0.0041          
196 1.96 8.362667 0.41252576 0.403806 0.408166 0.004014          
197 1.97 8.405333 0.40380569 0.395133 0.399469 0.003929          
198 1.98 8.448 0.39513317 0.386512 0.390823 0.003844          
199 1.99 8.490667 0.38651229 0.377947 0.38223 0.003759          
200 2 8.533333 0.37794706 0.369441 0.373694 0.003675          
201 2.01 8.576 0.3694414 0.360999 0.36522 0.003592          
202 2.02 8.618667 0.36099918 0.352624 0.356812 0.003509          
203 2.03 8.661333 0.35262412 0.34432 0.348472 0.003427          
204 2.04 8.704 0.3443199 0.33609 0.340205 0.003346          
205 2.05 8.746667 0.33609007 0.327938 0.332014 0.003266          
206 2.06 8.789333 0.32793806 0.319867 0.323903 0.003186          
207 2.07 8.832 0.31986721 0.311881 0.315874 0.003107          
208 2.08 8.874667 0.31188076 0.303982 0.307931 0.003029          
209 2.09 8.917333 0.30398178 0.296173 0.300078 0.002951          
210 2.1 8.96 0.29617328 0.288458 0.292316 0.002875          
211 2.11 9.002667 0.2884581 0.280839 0.284649 0.0028          
212 2.12 9.045333 0.28083897 0.273318 0.277079 0.002725          
213 2.13 9.088 0.27331849 0.265899 0.269609 0.002652          
214 2.14 9.130667 0.26589912 0.258583 0.262241 0.002579          
215 2.15 9.173333 0.25858319 0.251373 0.254978 0.002508          
216 2.16 9.216 0.25137291 0.24427 0.247822 0.002437          
217 2.17 9.258667 0.24427032 0.237277 0.240774 0.002368          
218 2.18 9.301333 0.23727735 0.230396 0.233837 0.0023          
219 2.19 9.344 0.23039577 0.223627 0.227011 0.002233          
220 2.2 9.386667 0.22362722 0.216973 0.2203 0.002167          
221 2.21 9.429333 0.21697321 0.210435 0.213704 0.002102          
222 2.22 9.472 0.21043509 0.204014 0.207225 0.002038          
223 2.23 9.514667 0.20401408 0.197711 0.200863 0.001976          
224 2.24 9.557333 0.19771126 0.191528 0.194619 0.001914          
225 2.25 9.6 0.19152759 0.185464 0.188496 0.001854          
226 2.26 9.642667 0.18546385 0.179521 0.182492 0.001795          
227 2.27 9.685333 0.17952073 0.173699 0.17661 0.001737          
228 2.28 9.728 0.17369877 0.167998 0.170849 0.00168          
229 2.29 9.770667 0.16799836 0.16242 0.165209 0.001625          
230 2.3 9.813333 0.16241978 0.156963 0.159691 0.001571          
231 2.31 9.856 0.15696318 0.151629 0.154296 0.001518          
232 2.32 9.898667 0.15162859 0.146416 0.149022 0.001466          
233 2.33 9.941333 0.1464159 0.141325 0.14387 0.001415          
234 2.34 9.984 0.1413249 0.136355 0.13884 0.001366          
235 2.35 10.02667 0.13635525 0.131507 0.133931 0.001317          
236 2.36 10.06933 0.13150651 0.126778 0.129142 0.00127          
237 2.37 10.112 0.12677812 0.122169 0.124474 0.001224          
238 2.38 10.15467 0.12216941 0.11768 0.119925 0.00118          
239 2.39 10.19733 0.11767962 0.113308 0.115494 0.001136          
240 2.4 10.24 0.1133079 0.109053 0.111181 0.001094          
241 2.41 10.28267 0.10905327 0.104915 0.106984 0.001052          
242 2.42 10.32533 0.10491469 0.100891 0.102903 0.001012          
243 2.43 10.368 0.10089103 0.096981 0.098936 0.000973          
244 2.44 10.41067 0.09698106 0.093183 0.095082 0.000935          
245 2.45 10.45333 0.09318349 0.089497 0.09134 0.000898          
246 2.46 10.496 0.08949695 0.08592 0.087708 0.000863          
247 2.47 10.53867 0.08591999 0.082451 0.084186 0.000828          
248 2.48 10.58133 0.08245111 0.079089 0.08077 0.000794          
249 2.49 10.624 0.07908874 0.075831 0.07746 0.000762          
250 2.5 10.66667 0.07583124 0.072677 0.074254 0.00073          
251 2.51 10.70933 0.07267695 0.069624 0.071151 0.0007          
252 2.52 10.752 0.06962413 0.066671 0.068148 0.00067          
253 2.53 10.79467 0.066671 0.063816 0.065243 0.000642          
254 2.54 10.83733 0.06381575 0.061057 0.062436 0.000614          
255 2.55 10.88 0.06105654 0.058391 0.059724 0.000587          
256 2.56 10.92267 0.05839146 0.055819 0.057105 0.000562          
257 2.57 10.96533 0.05581861 0.053336 0.054577 0.000537          
258 2.58 11.008 0.05333605 0.050942 0.052139 0.000513          
259 2.59 11.05067 0.05094181 0.048634 0.049788 0.00049          
260 2.6 11.09333 0.04863393 0.04641 0.047522 0.000467          
261 2.61 11.136 0.0464104 0.044269 0.04534 0.000446          
262 2.62 11.17867 0.04426923 0.042208 0.043239 0.000425          
263 2.63 11.22133 0.0422084 0.040226 0.041217 0.000405          
264 2.64 11.264 0.0402259 0.03832 0.039273 0.000386          
265 2.65 11.30667 0.0383197 0.036488 0.037404 0.000368          
266 2.66 11.34933 0.03648781 0.034728 0.035608 0.00035          
267 2.67 11.392 0.03472821 0.033039 0.033884 0.000333          
268 2.68 11.43467 0.0330389 0.031418 0.032228 0.000317          
269 2.69 11.47733 0.03141789 0.029863 0.030641 0.000301          
270 2.7 11.52 0.0298632 0.028373 0.029118 0.000286          
271 2.71 11.56267 0.02837287 0.026945 0.027659 0.000272          
272 2.72 11.60533 0.02694496 0.025578 0.026261 0.000258          
273 2.73 11.648 0.02557754 0.024269 0.024923 0.000245          
274 2.74 11.69067 0.02426871 0.023017 0.023643 0.000233          
275 2.75 11.73333 0.02301659 0.021819 0.022418 0.00022          
276 2.76 11.776 0.02181933 0.020675 0.021247 0.000209          
277 2.77 11.81867 0.02067509 0.019582 0.020129 0.000198          
278 2.78 11.86133 0.0195821 0.018539 0.01906 0.000187          
279 2.79 11.904 0.01853857 0.017543 0.018041 0.000177          
280 2.8 11.94667 0.01754277 0.016593 0.017068 0.000168          
281 2.81 11.98933 0.01659299 0.015688 0.01614 0.000159          
282 2.82 12.032 0.01568757 0.014825 0.015256 0.00015          
283 2.83 12.07467 0.01482487 0.014003 0.014414 0.000142          
284 2.84 12.11733 0.01400328 0.013221 0.013612 0.000134          
285 2.85 12.16 0.01322125 0.012477 0.012849 0.000126          
286 2.86 12.20267 0.01247724 0.01177 0.012124 0.000119          
287 2.87 12.24533 0.01176977 0.011097 0.011434 0.000112          
288 2.88 12.288 0.01109737 0.010459 0.010778 0.000106          
289 2.89 12.33067 0.01045863 0.009852 0.010155 9.99E-05          
290 2.9 12.37333 0.00985217 0.009277 0.009564 9.41E-05          
291 2.91 12.416 0.00927665 0.008731 0.009004 8.86E-05          
292 2.92 12.45867 0.00873077 0.008213 0.008472 8.33E-05          
293 2.93 12.50133 0.00821326 0.007723 0.007968 7.84E-05          
294 2.94 12.544 0.00772289 0.007258 0.007491 7.37E-05          
295 2.95 12.58667 0.00725848 0.006819 0.007039 6.92E-05          
296 2.96 12.62933 0.00681887 0.006403 0.006611 6.5E-05          
297 2.97 12.672 0.00640295 0.00601 0.006206 6.1E-05          
298 2.98 12.71467 0.00600964 0.005638 0.005824 5.73E-05          
299 2.99 12.75733 0.00563789 0.005287 0.005462 5.37E-05          
300 3 12.8 0.00528671 0.004955 0.005121 5.04E-05          
        SUM   4.771042          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.8874
Qo= 7.35 vph   Ko=   0.93038 veh/mile        
MU 7.90 mph   No=   3  veh        
SIGMA 1.90 mph   ALPHAO= 1.0748 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 4.51   PER HOUR= 19.26
        STANDARD DEVIATION= 2.12     2
        DETERMINISTIC  EQUATION= 4.51      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       2.791139          
1 0.01 0.042667 0.99998393 0.999982 0.999983 0.009304          
2 0.02 0.085333 0.99998228 0.99998 0.999981 0.009304          
3 0.03 0.128 0.99998046 0.999978 0.999979 0.009304          
4 0.04 0.170667 0.99997847 0.999976 0.999977 0.009304          
5 0.05 0.213333 0.99997629 0.999974 0.999975 0.009304          
6 0.06 0.256 0.99997389 0.999971 0.999973 0.009304          
7 0.07 0.298667 0.99997127 0.999968 0.99997 0.009304          
8 0.08 0.341333 0.99996841 0.999965 0.999967 0.009303          
9 0.09 0.384 0.99996527 0.999962 0.999964 0.009303          
10 0.1 0.426667 0.99996184 0.999958 0.99996 0.009303          
11 0.11 0.469333 0.99995809 0.999954 0.999956 0.009303          
12 0.12 0.512 0.999954 0.99995 0.999952 0.009303          
13 0.13 0.554667 0.99994953 0.999945 0.999947 0.009303          
14 0.14 0.597333 0.99994465 0.999939 0.999942 0.009303          
15 0.15 0.64 0.99993933 0.999934 0.999936 0.009303          
16 0.16 0.682667 0.99993354 0.999927 0.99993 0.009303          
17 0.17 0.725333 0.99992722 0.99992 0.999924 0.009303          
18 0.18 0.768 0.99992034 0.999913 0.999917 0.009303          
19 0.19 0.810667 0.99991285 0.999905 0.999909 0.009303          
20 0.2 0.853333 0.9999047 0.999896 0.9999 0.009303          
21 0.21 0.896 0.99989584 0.999886 0.999891 0.009303          
22 0.22 0.938667 0.99988621 0.999876 0.999881 0.009303          
23 0.23 0.981333 0.99987575 0.999864 0.99987 0.009303          
24 0.24 1.024 0.99986439 0.999852 0.999858 0.009302          
25 0.25 1.066667 0.99985206 0.999839 0.999845 0.009302          
26 0.26 1.109333 0.99983869 0.999824 0.999831 0.009302          
27 0.27 1.152 0.9998242 0.999808 0.999816 0.009302          
28 0.28 1.194667 0.9998085 0.999791 0.9998 0.009302          
29 0.29 1.237333 0.99979149 0.999773 0.999782 0.009302          
30 0.3 1.28 0.99977308 0.999753 0.999763 0.009302          
31 0.31 1.322667 0.99975316 0.999732 0.999742 0.009301          
32 0.32 1.365333 0.99973162 0.999708 0.99972 0.009301          
33 0.33 1.408 0.99970834 0.999683 0.999696 0.009301          
34 0.34 1.450667 0.99968319 0.999656 0.99967 0.009301          
35 0.35 1.493333 0.99965603 0.999627 0.999641 0.0093          
36 0.36 1.536 0.99962673 0.999595 0.999611 0.0093          
37 0.37 1.578667 0.99959512 0.999561 0.999578 0.0093          
38 0.38 1.621333 0.99956104 0.999524 0.999543 0.0093          
39 0.39 1.664 0.99952432 0.999485 0.999505 0.009299          
40 0.4 1.706667 0.99948476 0.999442 0.999463 0.009299          
41 0.41 1.749333 0.99944219 0.999396 0.999419 0.009298          
42 0.42 1.792 0.99939638 0.999347 0.999372 0.009298          
43 0.43 1.834667 0.99934712 0.999294 0.999321 0.009297          
44 0.44 1.877333 0.99929417 0.999237 0.999266 0.009297          
45 0.45 1.92 0.99923728 0.999176 0.999207 0.009296          
46 0.46 1.962667 0.9991762 0.999111 0.999143 0.009296          
47 0.47 2.005333 0.99911064 0.99904 0.999075 0.009295          
48 0.48 2.048 0.99904032 0.998965 0.999003 0.009295          
49 0.49 2.090667 0.99896493 0.998884 0.998925 0.009294          
50 0.5 2.133333 0.99888414 0.998798 0.998841 0.009293          
51 0.51 2.176 0.9987976 0.998705 0.998751 0.009292          
52 0.52 2.218667 0.99870497 0.998606 0.998655 0.009291          
53 0.53 2.261333 0.99860584 0.9985 0.998553 0.00929          
54 0.54 2.304 0.99849984 0.998387 0.998443 0.009289          
55 0.55 2.346667 0.99838653 0.998265 0.998326 0.009288          
56 0.56 2.389333 0.99826548 0.998136 0.998201 0.009287          
57 0.57 2.432 0.99813621 0.997998 0.998067 0.009286          
58 0.58 2.474667 0.99799824 0.997851 0.997925 0.009284          
59 0.59 2.517333 0.99785106 0.997694 0.997773 0.009283          
60 0.6 2.56 0.99769414 0.997527 0.997611 0.009282          
61 0.61 2.602667 0.99752691 0.997349 0.997438 0.00928          
62 0.62 2.645333 0.99734879 0.997159 0.997254 0.009278          
63 0.63 2.688 0.99715916 0.996957 0.997058 0.009276          
64 0.64 2.730667 0.99695737 0.996743 0.99685 0.009274          
65 0.65 2.773333 0.99674277 0.996515 0.996629 0.009272          
66 0.66 2.816 0.99651465 0.996272 0.996393 0.00927          
67 0.67 2.858667 0.99627228 0.996015 0.996144 0.009268          
68 0.68 2.901333 0.9960149 0.995742 0.995878 0.009265          
69 0.69 2.944 0.99574172 0.995452 0.995597 0.009263          
70 0.7 2.986667 0.99545192 0.995145 0.995298 0.00926          
71 0.71 3.029333 0.99514463 0.994819 0.994982 0.009257          
72 0.72 3.072 0.99481897 0.994474 0.994646 0.009254          
73 0.73 3.114667 0.99447401 0.994109 0.994291 0.009251          
74 0.74 3.157333 0.9941088 0.993722 0.993916 0.009247          
75 0.75 3.2 0.99372234 0.993314 0.993518 0.009243          
76 0.76 3.242667 0.9933136 0.992882 0.993098 0.00924          
77 0.77 3.285333 0.99288151 0.992425 0.992653 0.009235          
78 0.78 3.328 0.99242497 0.991943 0.992184 0.009231          
79 0.79 3.370667 0.99194284 0.991434 0.991688 0.009226          
80 0.8 3.413333 0.99143394 0.990897 0.991166 0.009222          
81 0.81 3.456 0.99089706 0.990331 0.990614 0.009216          
82 0.82 3.498667 0.99033094 0.989734 0.990033 0.009211          
83 0.83 3.541333 0.98973429 0.989106 0.98942 0.009205          
84 0.84 3.584 0.98910579 0.988444 0.988775 0.009199          
85 0.85 3.626667 0.98844406 0.987748 0.988096 0.009193          
86 0.86 3.669333 0.9877477 0.987015 0.987381 0.009186          
87 0.87 3.712 0.98701526 0.986245 0.98663 0.009179          
88 0.88 3.754667 0.98624528 0.985436 0.985841 0.009172          
89 0.89 3.797333 0.98543622 0.984587 0.985011 0.009164          
90 0.9 3.84 0.98458654 0.983695 0.984141 0.009156          
91 0.91 3.882667 0.98369464 0.982759 0.983227 0.009148          
92 0.92 3.925333 0.9827589 0.981778 0.982268 0.009139          
93 0.93 3.968 0.98177767 0.980749 0.981263 0.009129          
94 0.94 4.010667 0.98074924 0.979672 0.980211 0.00912          
95 0.95 4.053333 0.97967189 0.978544 0.979108 0.009109          
96 0.96 4.096 0.97854386 0.977363 0.977954 0.009099          
97 0.97 4.138667 0.97736336 0.976129 0.976746 0.009087          
98 0.98 4.181333 0.97612859 0.974838 0.975483 0.009076          
99 0.99 4.224 0.97483768 0.973489 0.974163 0.009063          
100 1 4.266667 0.97348877 0.97208 0.972784 0.009051          
101 1.01 4.309333 0.97207997 0.970609 0.971345 0.009037          
102 1.02 4.352 0.97060935 0.969075 0.969842 0.009023          
103 1.03 4.394667 0.96907499 0.967475 0.968275 0.009009          
104 1.04 4.437333 0.96747491 0.965807 0.966641 0.008993          
105 1.05 4.48 0.96580716 0.96407 0.964938 0.008978          
106 1.06 4.522667 0.96406973 0.962261 0.963165 0.008961          
107 1.07 4.565333 0.96226065 0.960378 0.961319 0.008944          
108 1.08 4.608 0.96037789 0.958419 0.959399 0.008926          
109 1.09 4.650667 0.95841945 0.956383 0.957401 0.008907          
110 1.1 4.693333 0.95638332 0.954267 0.955325 0.008888          
111 1.11 4.736 0.95426746 0.95207 0.953169 0.008868          
112 1.12 4.778667 0.95206989 0.949789 0.950929 0.008847          
113 1.13 4.821333 0.94978858 0.947422 0.948605 0.008826          
114 1.14 4.864 0.94742155 0.944967 0.946194 0.008803          
115 1.15 4.906667 0.9449668 0.942422 0.943695 0.00878          
116 1.16 4.949333 0.94242237 0.939786 0.941104 0.008756          
117 1.17 4.992 0.93978633 0.937057 0.938422 0.008731          
118 1.18 5.034667 0.93705673 0.934232 0.935644 0.008705          
119 1.19 5.077333 0.93423169 0.931309 0.932771 0.008678          
120 1.2 5.12 0.93130935 0.928288 0.929799 0.008651          
121 1.21 5.162667 0.92828787 0.925165 0.926727 0.008622          
122 1.22 5.205333 0.92516548 0.92194 0.923553 0.008593          
123 1.23 5.248 0.92194042 0.918611 0.920276 0.008562          
124 1.24 5.290667 0.918611 0.915176 0.916893 0.008531          
125 1.25 5.333333 0.91517557 0.911633 0.913404 0.008498          
126 1.26 5.376 0.91163255 0.90798 0.909806 0.008465          
127 1.27 5.418667 0.90798041 0.904218 0.906099 0.00843          
128 1.28 5.461333 0.90421769 0.900343 0.90228 0.008395          
129 1.29 5.504 0.90034299 0.896355 0.898349 0.008358          
130 1.3 5.546667 0.89635499 0.892252 0.894304 0.00832          
131 1.31 5.589333 0.89225245 0.888034 0.890143 0.008282          
132 1.32 5.632 0.88803421 0.883699 0.885867 0.008242          
133 1.33 5.674667 0.88369918 0.879246 0.881473 0.008201          
134 1.34 5.717333 0.87924639 0.874675 0.876961 0.008159          
135 1.35 5.76 0.87467493 0.869984 0.872329 0.008116          
136 1.36 5.802667 0.86998401 0.865173 0.867578 0.008072          
137 1.37 5.845333 0.86517295 0.860241 0.862707 0.008026          
138 1.38 5.888 0.86024113 0.855188 0.857715 0.00798          
139 1.39 5.930667 0.8551881 0.850013 0.852601 0.007932          
140 1.4 5.973333 0.85001347 0.844717 0.847365 0.007884          
141 1.41 6.016 0.84471698 0.839299 0.842008 0.007834          
142 1.42 6.058667 0.83929852 0.833758 0.836528 0.007783          
143 1.43 6.101333 0.83375805 0.828096 0.830927 0.007731          
144 1.44 6.144 0.82809568 0.822312 0.825204 0.007678          
145 1.45 6.186667 0.82231167 0.816406 0.819359 0.007623          
146 1.46 6.229333 0.81640636 0.81038 0.813393 0.007568          
147 1.47 6.272 0.81038025 0.804234 0.807307 0.007511          
148 1.48 6.314667 0.80423397 0.797968 0.801101 0.007453          
149 1.49 6.357333 0.79796829 0.791584 0.794776 0.007394          
150 1.5 6.4 0.79158411 0.785082 0.788333 0.007334          
151 1.51 6.442667 0.78508246 0.778465 0.781773 0.007273          
152 1.52 6.485333 0.77846453 0.771732 0.775098 0.007211          
153 1.53 6.528 0.77173162 0.764885 0.768308 0.007148          
154 1.54 6.570667 0.76488519 0.757927 0.761406 0.007084          
155 1.55 6.613333 0.75792685 0.750858 0.754393 0.007019          
156 1.56 6.656 0.75085831 0.743681 0.74727 0.006952          
157 1.57 6.698667 0.74368147 0.736398 0.74004 0.006885          
158 1.58 6.741333 0.73639833 0.729011 0.732705 0.006817          
159 1.59 6.784 0.72901104 0.721522 0.725266 0.006748          
160 1.6 6.826667 0.7215219 0.713933 0.717728 0.006678          
161 1.61 6.869333 0.71393332 0.706248 0.710091 0.006607          
162 1.62 6.912 0.70624787 0.698468 0.702358 0.006535          
163 1.63 6.954667 0.69846823 0.690597 0.694533 0.006462          
164 1.64 6.997333 0.69059721 0.682638 0.686617 0.006388          
165 1.65 7.04 0.68263777 0.674593 0.678615 0.006314          
166 1.66 7.082667 0.67459295 0.666466 0.670529 0.006238          
167 1.67 7.125333 0.66646596 0.65826 0.662363 0.006162          
168 1.68 7.168 0.65826007 0.649979 0.654119 0.006086          
169 1.69 7.210667 0.64997872 0.641625 0.645802 0.006008          
170 1.7 7.253333 0.64162542 0.633204 0.637415 0.00593          
171 1.71 7.296 0.63320378 0.624718 0.628961 0.005852          
172 1.72 7.338667 0.62471754 0.616171 0.620444 0.005772          
173 1.73 7.381333 0.61617051 0.607567 0.611869 0.005693          
174 1.74 7.424 0.60756659 0.59891 0.603238 0.005612          
175 1.75 7.466667 0.59890977 0.590204 0.594557 0.005532          
176 1.76 7.509333 0.59020412 0.581454 0.585829 0.00545          
177 1.77 7.552 0.58145377 0.572663 0.577058 0.005369          
178 1.78 7.594667 0.57266293 0.563836 0.568249 0.005287          
179 1.79 7.637333 0.56383586 0.554977 0.559406 0.005205          
180 1.8 7.68 0.55497688 0.54609 0.550534 0.005122          
181 1.81 7.722667 0.54609035 0.537181 0.541636 0.005039          
182 1.82 7.765333 0.53718069 0.528252 0.532717 0.004956          
183 1.83 7.808 0.52825232 0.51931 0.523781 0.004873          
184 1.84 7.850667 0.51930973 0.510357 0.514834 0.00479          
185 1.85 7.893333 0.51035739 0.5014 0.505879 0.004707          
186 1.86 7.936 0.5013998 0.492442 0.496921 0.004623          
187 1.87 7.978667 0.49244151 0.483487 0.487964 0.00454          
188 1.88 8.021333 0.48348704 0.474541 0.479014 0.004457          
189 1.89 8.064 0.47454092 0.465608 0.470074 0.004373          
190 1.9 8.106667 0.46560763 0.456692 0.46115 0.00429          
191 1.91 8.149333 0.45669164 0.447797 0.452245 0.004208          
192 1.92 8.192 0.44779741 0.438929 0.443363 0.004125          
193 1.93 8.234667 0.43892935 0.430092 0.434511 0.004043          
194 1.94 8.277333 0.43009184 0.421289 0.425691 0.003961          
195 1.95 8.32 0.42128922 0.412526 0.416907 0.003879          
196 1.96 8.362667 0.41252576 0.403806 0.408166 0.003797          
197 1.97 8.405333 0.40380569 0.395133 0.399469 0.003717          
198 1.98 8.448 0.39513317 0.386512 0.390823 0.003636          
199 1.99 8.490667 0.38651229 0.377947 0.38223 0.003556          
200 2 8.533333 0.37794706 0.369441 0.373694 0.003477          
201 2.01 8.576 0.3694414 0.360999 0.36522 0.003398          
202 2.02 8.618667 0.36099918 0.352624 0.356812 0.00332          
203 2.03 8.661333 0.35262412 0.34432 0.348472 0.003242          
204 2.04 8.704 0.3443199 0.33609 0.340205 0.003165          
205 2.05 8.746667 0.33609007 0.327938 0.332014 0.003089          
206 2.06 8.789333 0.32793806 0.319867 0.323903 0.003014          
207 2.07 8.832 0.31986721 0.311881 0.315874 0.002939          
208 2.08 8.874667 0.31188076 0.303982 0.307931 0.002865          
209 2.09 8.917333 0.30398178 0.296173 0.300078 0.002792          
210 2.1 8.96 0.29617328 0.288458 0.292316 0.00272          
211 2.11 9.002667 0.2884581 0.280839 0.284649 0.002648          
212 2.12 9.045333 0.28083897 0.273318 0.277079 0.002578          
213 2.13 9.088 0.27331849 0.265899 0.269609 0.002508          
214 2.14 9.130667 0.26589912 0.258583 0.262241 0.00244          
215 2.15 9.173333 0.25858319 0.251373 0.254978 0.002372          
216 2.16 9.216 0.25137291 0.24427 0.247822 0.002306          
217 2.17 9.258667 0.24427032 0.237277 0.240774 0.00224          
218 2.18 9.301333 0.23727735 0.230396 0.233837 0.002176          
219 2.19 9.344 0.23039577 0.223627 0.227011 0.002112          
220 2.2 9.386667 0.22362722 0.216973 0.2203 0.00205          
221 2.21 9.429333 0.21697321 0.210435 0.213704 0.001988          
222 2.22 9.472 0.21043509 0.204014 0.207225 0.001928          
223 2.23 9.514667 0.20401408 0.197711 0.200863 0.001869          
224 2.24 9.557333 0.19771126 0.191528 0.194619 0.001811          
225 2.25 9.6 0.19152759 0.185464 0.188496 0.001754          
226 2.26 9.642667 0.18546385 0.179521 0.182492 0.001698          
227 2.27 9.685333 0.17952073 0.173699 0.17661 0.001643          
228 2.28 9.728 0.17369877 0.167998 0.170849 0.00159          
229 2.29 9.770667 0.16799836 0.16242 0.165209 0.001537          
230 2.3 9.813333 0.16241978 0.156963 0.159691 0.001486          
231 2.31 9.856 0.15696318 0.151629 0.154296 0.001436          
232 2.32 9.898667 0.15162859 0.146416 0.149022 0.001386          
233 2.33 9.941333 0.1464159 0.141325 0.14387 0.001339          
234 2.34 9.984 0.1413249 0.136355 0.13884 0.001292          
235 2.35 10.02667 0.13635525 0.131507 0.133931 0.001246          
236 2.36 10.06933 0.13150651 0.126778 0.129142 0.001202          
237 2.37 10.112 0.12677812 0.122169 0.124474 0.001158          
238 2.38 10.15467 0.12216941 0.11768 0.119925 0.001116          
239 2.39 10.19733 0.11767962 0.113308 0.115494 0.001075          
240 2.4 10.24 0.1133079 0.109053 0.111181 0.001034          
241 2.41 10.28267 0.10905327 0.104915 0.106984 0.000995          
242 2.42 10.32533 0.10491469 0.100891 0.102903 0.000957          
243 2.43 10.368 0.10089103 0.096981 0.098936 0.00092          
244 2.44 10.41067 0.09698106 0.093183 0.095082 0.000885          
245 2.45 10.45333 0.09318349 0.089497 0.09134 0.00085          
246 2.46 10.496 0.08949695 0.08592 0.087708 0.000816          
247 2.47 10.53867 0.08591999 0.082451 0.084186 0.000783          
248 2.48 10.58133 0.08245111 0.079089 0.08077 0.000751          
249 2.49 10.624 0.07908874 0.075831 0.07746 0.000721          
250 2.5 10.66667 0.07583124 0.072677 0.074254 0.000691          
251 2.51 10.70933 0.07267695 0.069624 0.071151 0.000662          
252 2.52 10.752 0.06962413 0.066671 0.068148 0.000634          
253 2.53 10.79467 0.066671 0.063816 0.065243 0.000607          
254 2.54 10.83733 0.06381575 0.061057 0.062436 0.000581          
255 2.55 10.88 0.06105654 0.058391 0.059724 0.000556          
256 2.56 10.92267 0.05839146 0.055819 0.057105 0.000531          
257 2.57 10.96533 0.05581861 0.053336 0.054577 0.000508          
258 2.58 11.008 0.05333605 0.050942 0.052139 0.000485          
259 2.59 11.05067 0.05094181 0.048634 0.049788 0.000463          
260 2.6 11.09333 0.04863393 0.04641 0.047522 0.000442          
261 2.61 11.136 0.0464104 0.044269 0.04534 0.000422          
262 2.62 11.17867 0.04426923 0.042208 0.043239 0.000402          
263 2.63 11.22133 0.0422084 0.040226 0.041217 0.000383          
264 2.64 11.264 0.0402259 0.03832 0.039273 0.000365          
265 2.65 11.30667 0.0383197 0.036488 0.037404 0.000348          
266 2.66 11.34933 0.03648781 0.034728 0.035608 0.000331          
267 2.67 11.392 0.03472821 0.033039 0.033884 0.000315          
268 2.68 11.43467 0.0330389 0.031418 0.032228 0.0003          
269 2.69 11.47733 0.03141789 0.029863 0.030641 0.000285          
270 2.7 11.52 0.0298632 0.028373 0.029118 0.000271          
271 2.71 11.56267 0.02837287 0.026945 0.027659 0.000257          
272 2.72 11.60533 0.02694496 0.025578 0.026261 0.000244          
273 2.73 11.648 0.02557754 0.024269 0.024923 0.000232          
274 2.74 11.69067 0.02426871 0.023017 0.023643 0.00022          
275 2.75 11.73333 0.02301659 0.021819 0.022418 0.000209          
276 2.76 11.776 0.02181933 0.020675 0.021247 0.000198          
277 2.77 11.81867 0.02067509 0.019582 0.020129 0.000187          
278 2.78 11.86133 0.0195821 0.018539 0.01906 0.000177          
279 2.79 11.904 0.01853857 0.017543 0.018041 0.000168          
280 2.8 11.94667 0.01754277 0.016593 0.017068 0.000159          
281 2.81 11.98933 0.01659299 0.015688 0.01614 0.00015          
282 2.82 12.032 0.01568757 0.014825 0.015256 0.000142          
283 2.83 12.07467 0.01482487 0.014003 0.014414 0.000134          
284 2.84 12.11733 0.01400328 0.013221 0.013612 0.000127          
285 2.85 12.16 0.01322125 0.012477 0.012849 0.00012          
286 2.86 12.20267 0.01247724 0.01177 0.012124 0.000113          
287 2.87 12.24533 0.01176977 0.011097 0.011434 0.000106          
288 2.88 12.288 0.01109737 0.010459 0.010778 0.0001          
289 2.89 12.33067 0.01045863 0.009852 0.010155 9.45E-05          
290 2.9 12.37333 0.00985217 0.009277 0.009564 8.9E-05          
291 2.91 12.416 0.00927665 0.008731 0.009004 8.38E-05          
292 2.92 12.45867 0.00873077 0.008213 0.008472 7.88E-05          
293 2.93 12.50133 0.00821326 0.007723 0.007968 7.41E-05          
294 2.94 12.544 0.00772289 0.007258 0.007491 6.97E-05          
295 2.95 12.58667 0.00725848 0.006819 0.007039 6.55E-05          
296 2.96 12.62933 0.00681887 0.006403 0.006611 6.15E-05          
297 2.97 12.672 0.00640295 0.00601 0.006206 5.77E-05          
298 2.98 12.71467 0.00600964 0.005638 0.005824 5.42E-05          
299 2.99 12.75733 0.00563789 0.005287 0.005462 5.08E-05          
300 3 12.8 0.00528671 0.004955 0.005121 4.76E-05          
        SUM   4.513148          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.8874
Qo= 50.00 vph   Ko=   6.329114 veh/mile        
MU 7.90 mph   No=   19  veh        
SIGMA 1.90 mph   ALPHAO= 0.1580 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 30.70   PER HOUR= 130.99
        STANDARD DEVIATION= 5.54     3
        DETERMINISTIC  EQUATION= 30.71      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       18.98734          
1 0.01 0.042667 0.99998393 0.999982 0.999983 0.06329          
2 0.02 0.085333 0.99998228 0.99998 0.999981 0.06329          
3 0.03 0.128 0.99998046 0.999978 0.999979 0.06329          
4 0.04 0.170667 0.99997847 0.999976 0.999977 0.06329          
5 0.05 0.213333 0.99997629 0.999974 0.999975 0.06329          
6 0.06 0.256 0.99997389 0.999971 0.999973 0.063289          
7 0.07 0.298667 0.99997127 0.999968 0.99997 0.063289          
8 0.08 0.341333 0.99996841 0.999965 0.999967 0.063289          
9 0.09 0.384 0.99996527 0.999962 0.999964 0.063289          
10 0.1 0.426667 0.99996184 0.999958 0.99996 0.063289          
11 0.11 0.469333 0.99995809 0.999954 0.999956 0.063288          
12 0.12 0.512 0.999954 0.99995 0.999952 0.063288          
13 0.13 0.554667 0.99994953 0.999945 0.999947 0.063288          
14 0.14 0.597333 0.99994465 0.999939 0.999942 0.063287          
15 0.15 0.64 0.99993933 0.999934 0.999936 0.063287          
16 0.16 0.682667 0.99993354 0.999927 0.99993 0.063287          
17 0.17 0.725333 0.99992722 0.99992 0.999924 0.063286          
18 0.18 0.768 0.99992034 0.999913 0.999917 0.063286          
19 0.19 0.810667 0.99991285 0.999905 0.999909 0.063285          
20 0.2 0.853333 0.9999047 0.999896 0.9999 0.063285          
21 0.21 0.896 0.99989584 0.999886 0.999891 0.063284          
22 0.22 0.938667 0.99988621 0.999876 0.999881 0.063284          
23 0.23 0.981333 0.99987575 0.999864 0.99987 0.063283          
24 0.24 1.024 0.99986439 0.999852 0.999858 0.063282          
25 0.25 1.066667 0.99985206 0.999839 0.999845 0.063281          
26 0.26 1.109333 0.99983869 0.999824 0.999831 0.06328          
27 0.27 1.152 0.9998242 0.999808 0.999816 0.06328          
28 0.28 1.194667 0.9998085 0.999791 0.9998 0.063278          
29 0.29 1.237333 0.99979149 0.999773 0.999782 0.063277          
30 0.3 1.28 0.99977308 0.999753 0.999763 0.063276          
31 0.31 1.322667 0.99975316 0.999732 0.999742 0.063275          
32 0.32 1.365333 0.99973162 0.999708 0.99972 0.063273          
33 0.33 1.408 0.99970834 0.999683 0.999696 0.063272          
34 0.34 1.450667 0.99968319 0.999656 0.99967 0.06327          
35 0.35 1.493333 0.99965603 0.999627 0.999641 0.063268          
36 0.36 1.536 0.99962673 0.999595 0.999611 0.063267          
37 0.37 1.578667 0.99959512 0.999561 0.999578 0.063264          
38 0.38 1.621333 0.99956104 0.999524 0.999543 0.063262          
39 0.39 1.664 0.99952432 0.999485 0.999505 0.06326          
40 0.4 1.706667 0.99948476 0.999442 0.999463 0.063257          
41 0.41 1.749333 0.99944219 0.999396 0.999419 0.063254          
42 0.42 1.792 0.99939638 0.999347 0.999372 0.063251          
43 0.43 1.834667 0.99934712 0.999294 0.999321 0.063248          
44 0.44 1.877333 0.99929417 0.999237 0.999266 0.063245          
45 0.45 1.92 0.99923728 0.999176 0.999207 0.063241          
46 0.46 1.962667 0.9991762 0.999111 0.999143 0.063237          
47 0.47 2.005333 0.99911064 0.99904 0.999075 0.063233          
48 0.48 2.048 0.99904032 0.998965 0.999003 0.063228          
49 0.49 2.090667 0.99896493 0.998884 0.998925 0.063223          
50 0.5 2.133333 0.99888414 0.998798 0.998841 0.063218          
51 0.51 2.176 0.9987976 0.998705 0.998751 0.063212          
52 0.52 2.218667 0.99870497 0.998606 0.998655 0.063206          
53 0.53 2.261333 0.99860584 0.9985 0.998553 0.0632          
54 0.54 2.304 0.99849984 0.998387 0.998443 0.063193          
55 0.55 2.346667 0.99838653 0.998265 0.998326 0.063185          
56 0.56 2.389333 0.99826548 0.998136 0.998201 0.063177          
57 0.57 2.432 0.99813621 0.997998 0.998067 0.063169          
58 0.58 2.474667 0.99799824 0.997851 0.997925 0.06316          
59 0.59 2.517333 0.99785106 0.997694 0.997773 0.06315          
60 0.6 2.56 0.99769414 0.997527 0.997611 0.06314          
61 0.61 2.602667 0.99752691 0.997349 0.997438 0.063129          
62 0.62 2.645333 0.99734879 0.997159 0.997254 0.063117          
63 0.63 2.688 0.99715916 0.996957 0.997058 0.063105          
64 0.64 2.730667 0.99695737 0.996743 0.99685 0.063092          
65 0.65 2.773333 0.99674277 0.996515 0.996629 0.063078          
66 0.66 2.816 0.99651465 0.996272 0.996393 0.063063          
67 0.67 2.858667 0.99627228 0.996015 0.996144 0.063047          
68 0.68 2.901333 0.9960149 0.995742 0.995878 0.06303          
69 0.69 2.944 0.99574172 0.995452 0.995597 0.063012          
70 0.7 2.986667 0.99545192 0.995145 0.995298 0.062994          
71 0.71 3.029333 0.99514463 0.994819 0.994982 0.062974          
72 0.72 3.072 0.99481897 0.994474 0.994646 0.062952          
73 0.73 3.114667 0.99447401 0.994109 0.994291 0.06293          
74 0.74 3.157333 0.9941088 0.993722 0.993916 0.062906          
75 0.75 3.2 0.99372234 0.993314 0.993518 0.062881          
76 0.76 3.242667 0.9933136 0.992882 0.993098 0.062854          
77 0.77 3.285333 0.99288151 0.992425 0.992653 0.062826          
78 0.78 3.328 0.99242497 0.991943 0.992184 0.062796          
79 0.79 3.370667 0.99194284 0.991434 0.991688 0.062765          
80 0.8 3.413333 0.99143394 0.990897 0.991166 0.062732          
81 0.81 3.456 0.99089706 0.990331 0.990614 0.062697          
82 0.82 3.498667 0.99033094 0.989734 0.990033 0.06266          
83 0.83 3.541333 0.98973429 0.989106 0.98942 0.062622          
84 0.84 3.584 0.98910579 0.988444 0.988775 0.062581          
85 0.85 3.626667 0.98844406 0.987748 0.988096 0.062538          
86 0.86 3.669333 0.9877477 0.987015 0.987381 0.062492          
87 0.87 3.712 0.98701526 0.986245 0.98663 0.062445          
88 0.88 3.754667 0.98624528 0.985436 0.985841 0.062395          
89 0.89 3.797333 0.98543622 0.984587 0.985011 0.062342          
90 0.9 3.84 0.98458654 0.983695 0.984141 0.062287          
91 0.91 3.882667 0.98369464 0.982759 0.983227 0.06223          
92 0.92 3.925333 0.9827589 0.981778 0.982268 0.062169          
93 0.93 3.968 0.98177767 0.980749 0.981263 0.062105          
94 0.94 4.010667 0.98074924 0.979672 0.980211 0.062039          
95 0.95 4.053333 0.97967189 0.978544 0.979108 0.061969          
96 0.96 4.096 0.97854386 0.977363 0.977954 0.061896          
97 0.97 4.138667 0.97736336 0.976129 0.976746 0.061819          
98 0.98 4.181333 0.97612859 0.974838 0.975483 0.061739          
99 0.99 4.224 0.97483768 0.973489 0.974163 0.061656          
100 1 4.266667 0.97348877 0.97208 0.972784 0.061569          
101 1.01 4.309333 0.97207997 0.970609 0.971345 0.061478          
102 1.02 4.352 0.97060935 0.969075 0.969842 0.061382          
103 1.03 4.394667 0.96907499 0.967475 0.968275 0.061283          
104 1.04 4.437333 0.96747491 0.965807 0.966641 0.06118          
105 1.05 4.48 0.96580716 0.96407 0.964938 0.061072          
106 1.06 4.522667 0.96406973 0.962261 0.963165 0.06096          
107 1.07 4.565333 0.96226065 0.960378 0.961319 0.060843          
108 1.08 4.608 0.96037789 0.958419 0.959399 0.060721          
109 1.09 4.650667 0.95841945 0.956383 0.957401 0.060595          
110 1.1 4.693333 0.95638332 0.954267 0.955325 0.060464          
111 1.11 4.736 0.95426746 0.95207 0.953169 0.060327          
112 1.12 4.778667 0.95206989 0.949789 0.950929 0.060185          
113 1.13 4.821333 0.94978858 0.947422 0.948605 0.060038          
114 1.14 4.864 0.94742155 0.944967 0.946194 0.059886          
115 1.15 4.906667 0.9449668 0.942422 0.943695 0.059728          
116 1.16 4.949333 0.94242237 0.939786 0.941104 0.059564          
117 1.17 4.992 0.93978633 0.937057 0.938422 0.059394          
118 1.18 5.034667 0.93705673 0.934232 0.935644 0.059218          
119 1.19 5.077333 0.93423169 0.931309 0.932771 0.059036          
120 1.2 5.12 0.93130935 0.928288 0.929799 0.058848          
121 1.21 5.162667 0.92828787 0.925165 0.926727 0.058654          
122 1.22 5.205333 0.92516548 0.92194 0.923553 0.058453          
123 1.23 5.248 0.92194042 0.918611 0.920276 0.058245          
124 1.24 5.290667 0.918611 0.915176 0.916893 0.058031          
125 1.25 5.333333 0.91517557 0.911633 0.913404 0.05781          
126 1.26 5.376 0.91163255 0.90798 0.909806 0.057583          
127 1.27 5.418667 0.90798041 0.904218 0.906099 0.057348          
128 1.28 5.461333 0.90421769 0.900343 0.90228 0.057106          
129 1.29 5.504 0.90034299 0.896355 0.898349 0.056858          
130 1.3 5.546667 0.89635499 0.892252 0.894304 0.056602          
131 1.31 5.589333 0.89225245 0.888034 0.890143 0.056338          
132 1.32 5.632 0.88803421 0.883699 0.885867 0.056068          
133 1.33 5.674667 0.88369918 0.879246 0.881473 0.055789          
134 1.34 5.717333 0.87924639 0.874675 0.876961 0.055504          
135 1.35 5.76 0.87467493 0.869984 0.872329 0.055211          
136 1.36 5.802667 0.86998401 0.865173 0.867578 0.05491          
137 1.37 5.845333 0.86517295 0.860241 0.862707 0.054602          
138 1.38 5.888 0.86024113 0.855188 0.857715 0.054286          
139 1.39 5.930667 0.8551881 0.850013 0.852601 0.053962          
140 1.4 5.973333 0.85001347 0.844717 0.847365 0.053631          
141 1.41 6.016 0.84471698 0.839299 0.842008 0.053292          
142 1.42 6.058667 0.83929852 0.833758 0.836528 0.052945          
143 1.43 6.101333 0.83375805 0.828096 0.830927 0.05259          
144 1.44 6.144 0.82809568 0.822312 0.825204 0.052228          
145 1.45 6.186667 0.82231167 0.816406 0.819359 0.051858          
146 1.46 6.229333 0.81640636 0.81038 0.813393 0.051481          
147 1.47 6.272 0.81038025 0.804234 0.807307 0.051095          
148 1.48 6.314667 0.80423397 0.797968 0.801101 0.050703          
149 1.49 6.357333 0.79796829 0.791584 0.794776 0.050302          
150 1.5 6.4 0.79158411 0.785082 0.788333 0.049895          
151 1.51 6.442667 0.78508246 0.778465 0.781773 0.049479          
152 1.52 6.485333 0.77846453 0.771732 0.775098 0.049057          
153 1.53 6.528 0.77173162 0.764885 0.768308 0.048627          
154 1.54 6.570667 0.76488519 0.757927 0.761406 0.04819          
155 1.55 6.613333 0.75792685 0.750858 0.754393 0.047746          
156 1.56 6.656 0.75085831 0.743681 0.74727 0.047296          
157 1.57 6.698667 0.74368147 0.736398 0.74004 0.046838          
158 1.58 6.741333 0.73639833 0.729011 0.732705 0.046374          
159 1.59 6.784 0.72901104 0.721522 0.725266 0.045903          
160 1.6 6.826667 0.7215219 0.713933 0.717728 0.045426          
161 1.61 6.869333 0.71393332 0.706248 0.710091 0.044942          
162 1.62 6.912 0.70624787 0.698468 0.702358 0.044453          
163 1.63 6.954667 0.69846823 0.690597 0.694533 0.043958          
164 1.64 6.997333 0.69059721 0.682638 0.686617 0.043457          
165 1.65 7.04 0.68263777 0.674593 0.678615 0.04295          
166 1.66 7.082667 0.67459295 0.666466 0.670529 0.042439          
167 1.67 7.125333 0.66646596 0.65826 0.662363 0.041922          
168 1.68 7.168 0.65826007 0.649979 0.654119 0.0414          
169 1.69 7.210667 0.64997872 0.641625 0.645802 0.040874          
170 1.7 7.253333 0.64162542 0.633204 0.637415 0.040343          
171 1.71 7.296 0.63320378 0.624718 0.628961 0.039808          
172 1.72 7.338667 0.62471754 0.616171 0.620444 0.039269          
173 1.73 7.381333 0.61617051 0.607567 0.611869 0.038726          
174 1.74 7.424 0.60756659 0.59891 0.603238 0.03818          
175 1.75 7.466667 0.59890977 0.590204 0.594557 0.03763          
176 1.76 7.509333 0.59020412 0.581454 0.585829 0.037078          
177 1.77 7.552 0.58145377 0.572663 0.577058 0.036523          
178 1.78 7.594667 0.57266293 0.563836 0.568249 0.035965          
179 1.79 7.637333 0.56383586 0.554977 0.559406 0.035405          
180 1.8 7.68 0.55497688 0.54609 0.550534 0.034844          
181 1.81 7.722667 0.54609035 0.537181 0.541636 0.034281          
182 1.82 7.765333 0.53718069 0.528252 0.532717 0.033716          
183 1.83 7.808 0.52825232 0.51931 0.523781 0.033151          
184 1.84 7.850667 0.51930973 0.510357 0.514834 0.032584          
185 1.85 7.893333 0.51035739 0.5014 0.505879 0.032018          
186 1.86 7.936 0.5013998 0.492442 0.496921 0.031451          
187 1.87 7.978667 0.49244151 0.483487 0.487964 0.030884          
188 1.88 8.021333 0.48348704 0.474541 0.479014 0.030317          
189 1.89 8.064 0.47454092 0.465608 0.470074 0.029752          
190 1.9 8.106667 0.46560763 0.456692 0.46115 0.029187          
191 1.91 8.149333 0.45669164 0.447797 0.452245 0.028623          
192 1.92 8.192 0.44779741 0.438929 0.443363 0.028061          
193 1.93 8.234667 0.43892935 0.430092 0.434511 0.027501          
194 1.94 8.277333 0.43009184 0.421289 0.425691 0.026942          
195 1.95 8.32 0.42128922 0.412526 0.416907 0.026387          
196 1.96 8.362667 0.41252576 0.403806 0.408166 0.025833          
197 1.97 8.405333 0.40380569 0.395133 0.399469 0.025283          
198 1.98 8.448 0.39513317 0.386512 0.390823 0.024736          
199 1.99 8.490667 0.38651229 0.377947 0.38223 0.024192          
200 2 8.533333 0.37794706 0.369441 0.373694 0.023652          
201 2.01 8.576 0.3694414 0.360999 0.36522 0.023115          
202 2.02 8.618667 0.36099918 0.352624 0.356812 0.022583          
203 2.03 8.661333 0.35262412 0.34432 0.348472 0.022055          
204 2.04 8.704 0.3443199 0.33609 0.340205 0.021532          
205 2.05 8.746667 0.33609007 0.327938 0.332014 0.021014          
206 2.06 8.789333 0.32793806 0.319867 0.323903 0.0205          
207 2.07 8.832 0.31986721 0.311881 0.315874 0.019992          
208 2.08 8.874667 0.31188076 0.303982 0.307931 0.019489          
209 2.09 8.917333 0.30398178 0.296173 0.300078 0.018992          
210 2.1 8.96 0.29617328 0.288458 0.292316 0.018501          
211 2.11 9.002667 0.2884581 0.280839 0.284649 0.018016          
212 2.12 9.045333 0.28083897 0.273318 0.277079 0.017537          
213 2.13 9.088 0.27331849 0.265899 0.269609 0.017064          
214 2.14 9.130667 0.26589912 0.258583 0.262241 0.016598          
215 2.15 9.173333 0.25858319 0.251373 0.254978 0.016138          
216 2.16 9.216 0.25137291 0.24427 0.247822 0.015685          
217 2.17 9.258667 0.24427032 0.237277 0.240774 0.015239          
218 2.18 9.301333 0.23727735 0.230396 0.233837 0.0148          
219 2.19 9.344 0.23039577 0.223627 0.227011 0.014368          
220 2.2 9.386667 0.22362722 0.216973 0.2203 0.013943          
221 2.21 9.429333 0.21697321 0.210435 0.213704 0.013526          
222 2.22 9.472 0.21043509 0.204014 0.207225 0.013115          
223 2.23 9.514667 0.20401408 0.197711 0.200863 0.012713          
224 2.24 9.557333 0.19771126 0.191528 0.194619 0.012318          
225 2.25 9.6 0.19152759 0.185464 0.188496 0.01193          
226 2.26 9.642667 0.18546385 0.179521 0.182492 0.01155          
227 2.27 9.685333 0.17952073 0.173699 0.17661 0.011178          
228 2.28 9.728 0.17369877 0.167998 0.170849 0.010813          
229 2.29 9.770667 0.16799836 0.16242 0.165209 0.010456          
230 2.3 9.813333 0.16241978 0.156963 0.159691 0.010107          
231 2.31 9.856 0.15696318 0.151629 0.154296 0.009766          
232 2.32 9.898667 0.15162859 0.146416 0.149022 0.009432          
233 2.33 9.941333 0.1464159 0.141325 0.14387 0.009106          
234 2.34 9.984 0.1413249 0.136355 0.13884 0.008787          
235 2.35 10.02667 0.13635525 0.131507 0.133931 0.008477          
236 2.36 10.06933 0.13150651 0.126778 0.129142 0.008174          
237 2.37 10.112 0.12677812 0.122169 0.124474 0.007878          
238 2.38 10.15467 0.12216941 0.11768 0.119925 0.00759          
239 2.39 10.19733 0.11767962 0.113308 0.115494 0.00731          
240 2.4 10.24 0.1133079 0.109053 0.111181 0.007037          
241 2.41 10.28267 0.10905327 0.104915 0.106984 0.006771          
242 2.42 10.32533 0.10491469 0.100891 0.102903 0.006513          
243 2.43 10.368 0.10089103 0.096981 0.098936 0.006262          
244 2.44 10.41067 0.09698106 0.093183 0.095082 0.006018          
245 2.45 10.45333 0.09318349 0.089497 0.09134 0.005781          
246 2.46 10.496 0.08949695 0.08592 0.087708 0.005551          
247 2.47 10.53867 0.08591999 0.082451 0.084186 0.005328          
248 2.48 10.58133 0.08245111 0.079089 0.08077 0.005112          
249 2.49 10.624 0.07908874 0.075831 0.07746 0.004903          
250 2.5 10.66667 0.07583124 0.072677 0.074254 0.0047          
251 2.51 10.70933 0.07267695 0.069624 0.071151 0.004503          
252 2.52 10.752 0.06962413 0.066671 0.068148 0.004313          
253 2.53 10.79467 0.066671 0.063816 0.065243 0.004129          
254 2.54 10.83733 0.06381575 0.061057 0.062436 0.003952          
255 2.55 10.88 0.06105654 0.058391 0.059724 0.00378          
256 2.56 10.92267 0.05839146 0.055819 0.057105 0.003614          
257 2.57 10.96533 0.05581861 0.053336 0.054577 0.003454          
258 2.58 11.008 0.05333605 0.050942 0.052139 0.0033          
259 2.59 11.05067 0.05094181 0.048634 0.049788 0.003151          
260 2.6 11.09333 0.04863393 0.04641 0.047522 0.003008          
261 2.61 11.136 0.0464104 0.044269 0.04534 0.00287          
262 2.62 11.17867 0.04426923 0.042208 0.043239 0.002737          
263 2.63 11.22133 0.0422084 0.040226 0.041217 0.002609          
264 2.64 11.264 0.0402259 0.03832 0.039273 0.002486          
265 2.65 11.30667 0.0383197 0.036488 0.037404 0.002367          
266 2.66 11.34933 0.03648781 0.034728 0.035608 0.002254          
267 2.67 11.392 0.03472821 0.033039 0.033884 0.002145          
268 2.68 11.43467 0.0330389 0.031418 0.032228 0.00204          
269 2.69 11.47733 0.03141789 0.029863 0.030641 0.001939          
270 2.7 11.52 0.0298632 0.028373 0.029118 0.001843          
271 2.71 11.56267 0.02837287 0.026945 0.027659 0.001751          
272 2.72 11.60533 0.02694496 0.025578 0.026261 0.001662          
273 2.73 11.648 0.02557754 0.024269 0.024923 0.001577          
274 2.74 11.69067 0.02426871 0.023017 0.023643 0.001496          
275 2.75 11.73333 0.02301659 0.021819 0.022418 0.001419          
276 2.76 11.776 0.02181933 0.020675 0.021247 0.001345          
277 2.77 11.81867 0.02067509 0.019582 0.020129 0.001274          
278 2.78 11.86133 0.0195821 0.018539 0.01906 0.001206          
279 2.79 11.904 0.01853857 0.017543 0.018041 0.001142          
280 2.8 11.94667 0.01754277 0.016593 0.017068 0.00108          
281 2.81 11.98933 0.01659299 0.015688 0.01614 0.001022          
282 2.82 12.032 0.01568757 0.014825 0.015256 0.000966          
283 2.83 12.07467 0.01482487 0.014003 0.014414 0.000912          
284 2.84 12.11733 0.01400328 0.013221 0.013612 0.000862          
285 2.85 12.16 0.01322125 0.012477 0.012849 0.000813          
286 2.86 12.20267 0.01247724 0.01177 0.012124 0.000767          
287 2.87 12.24533 0.01176977 0.011097 0.011434 0.000724          
288 2.88 12.288 0.01109737 0.010459 0.010778 0.000682          
289 2.89 12.33067 0.01045863 0.009852 0.010155 0.000643          
290 2.9 12.37333 0.00985217 0.009277 0.009564 0.000605          
291 2.91 12.416 0.00927665 0.008731 0.009004 0.00057          
292 2.92 12.45867 0.00873077 0.008213 0.008472 0.000536          
293 2.93 12.50133 0.00821326 0.007723 0.007968 0.000504          
294 2.94 12.544 0.00772289 0.007258 0.007491 0.000474          
295 2.95 12.58667 0.00725848 0.006819 0.007039 0.000445          
296 2.96 12.62933 0.00681887 0.006403 0.006611 0.000418          
297 2.97 12.672 0.00640295 0.00601 0.006206 0.000393          
298 2.98 12.71467 0.00600964 0.005638 0.005824 0.000369          
299 2.99 12.75733 0.00563789 0.005287 0.005462 0.000346          
300 3 12.8 0.00528671 0.004955 0.005121 0.000324          
        SUM   30.70169          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.8874
Qo= 3.50 vph   Ko=   0.443038 veh/mile        
MU 7.90 mph   No=   1  veh        
SIGMA 1.90 mph   ALPHAO= 2.2571 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 2.15   PER HOUR= 9.17
        STANDARD DEVIATION= 1.47     4
        DETERMINISTIC  EQUATION= 2.15      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       1.329114          
1 0.01 0.042667 0.99998393 0.999982 0.999983 0.00443          
2 0.02 0.085333 0.99998228 0.99998 0.999981 0.00443          
3 0.03 0.128 0.99998046 0.999978 0.999979 0.00443          
4 0.04 0.170667 0.99997847 0.999976 0.999977 0.00443          
5 0.05 0.213333 0.99997629 0.999974 0.999975 0.00443          
6 0.06 0.256 0.99997389 0.999971 0.999973 0.00443          
7 0.07 0.298667 0.99997127 0.999968 0.99997 0.00443          
8 0.08 0.341333 0.99996841 0.999965 0.999967 0.00443          
9 0.09 0.384 0.99996527 0.999962 0.999964 0.00443          
10 0.1 0.426667 0.99996184 0.999958 0.99996 0.00443          
11 0.11 0.469333 0.99995809 0.999954 0.999956 0.00443          
12 0.12 0.512 0.999954 0.99995 0.999952 0.00443          
13 0.13 0.554667 0.99994953 0.999945 0.999947 0.00443          
14 0.14 0.597333 0.99994465 0.999939 0.999942 0.00443          
15 0.15 0.64 0.99993933 0.999934 0.999936 0.00443          
16 0.16 0.682667 0.99993354 0.999927 0.99993 0.00443          
17 0.17 0.725333 0.99992722 0.99992 0.999924 0.00443          
18 0.18 0.768 0.99992034 0.999913 0.999917 0.00443          
19 0.19 0.810667 0.99991285 0.999905 0.999909 0.00443          
20 0.2 0.853333 0.9999047 0.999896 0.9999 0.00443          
21 0.21 0.896 0.99989584 0.999886 0.999891 0.00443          
22 0.22 0.938667 0.99988621 0.999876 0.999881 0.00443          
23 0.23 0.981333 0.99987575 0.999864 0.99987 0.00443          
24 0.24 1.024 0.99986439 0.999852 0.999858 0.00443          
25 0.25 1.066667 0.99985206 0.999839 0.999845 0.00443          
26 0.26 1.109333 0.99983869 0.999824 0.999831 0.00443          
27 0.27 1.152 0.9998242 0.999808 0.999816 0.00443          
28 0.28 1.194667 0.9998085 0.999791 0.9998 0.004429          
29 0.29 1.237333 0.99979149 0.999773 0.999782 0.004429          
30 0.3 1.28 0.99977308 0.999753 0.999763 0.004429          
31 0.31 1.322667 0.99975316 0.999732 0.999742 0.004429          
32 0.32 1.365333 0.99973162 0.999708 0.99972 0.004429          
33 0.33 1.408 0.99970834 0.999683 0.999696 0.004429          
34 0.34 1.450667 0.99968319 0.999656 0.99967 0.004429          
35 0.35 1.493333 0.99965603 0.999627 0.999641 0.004429          
36 0.36 1.536 0.99962673 0.999595 0.999611 0.004429          
37 0.37 1.578667 0.99959512 0.999561 0.999578 0.004429          
38 0.38 1.621333 0.99956104 0.999524 0.999543 0.004428          
39 0.39 1.664 0.99952432 0.999485 0.999505 0.004428          
40 0.4 1.706667 0.99948476 0.999442 0.999463 0.004428          
41 0.41 1.749333 0.99944219 0.999396 0.999419 0.004428          
42 0.42 1.792 0.99939638 0.999347 0.999372 0.004428          
43 0.43 1.834667 0.99934712 0.999294 0.999321 0.004427          
44 0.44 1.877333 0.99929417 0.999237 0.999266 0.004427          
45 0.45 1.92 0.99923728 0.999176 0.999207 0.004427          
46 0.46 1.962667 0.9991762 0.999111 0.999143 0.004427          
47 0.47 2.005333 0.99911064 0.99904 0.999075 0.004426          
48 0.48 2.048 0.99904032 0.998965 0.999003 0.004426          
49 0.49 2.090667 0.99896493 0.998884 0.998925 0.004426          
50 0.5 2.133333 0.99888414 0.998798 0.998841 0.004425          
51 0.51 2.176 0.9987976 0.998705 0.998751 0.004425          
52 0.52 2.218667 0.99870497 0.998606 0.998655 0.004424          
53 0.53 2.261333 0.99860584 0.9985 0.998553 0.004424          
54 0.54 2.304 0.99849984 0.998387 0.998443 0.004423          
55 0.55 2.346667 0.99838653 0.998265 0.998326 0.004423          
56 0.56 2.389333 0.99826548 0.998136 0.998201 0.004422          
57 0.57 2.432 0.99813621 0.997998 0.998067 0.004422          
58 0.58 2.474667 0.99799824 0.997851 0.997925 0.004421          
59 0.59 2.517333 0.99785106 0.997694 0.997773 0.004421          
60 0.6 2.56 0.99769414 0.997527 0.997611 0.00442          
61 0.61 2.602667 0.99752691 0.997349 0.997438 0.004419          
62 0.62 2.645333 0.99734879 0.997159 0.997254 0.004418          
63 0.63 2.688 0.99715916 0.996957 0.997058 0.004417          
64 0.64 2.730667 0.99695737 0.996743 0.99685 0.004416          
65 0.65 2.773333 0.99674277 0.996515 0.996629 0.004415          
66 0.66 2.816 0.99651465 0.996272 0.996393 0.004414          
67 0.67 2.858667 0.99627228 0.996015 0.996144 0.004413          
68 0.68 2.901333 0.9960149 0.995742 0.995878 0.004412          
69 0.69 2.944 0.99574172 0.995452 0.995597 0.004411          
70 0.7 2.986667 0.99545192 0.995145 0.995298 0.00441          
71 0.71 3.029333 0.99514463 0.994819 0.994982 0.004408          
72 0.72 3.072 0.99481897 0.994474 0.994646 0.004407          
73 0.73 3.114667 0.99447401 0.994109 0.994291 0.004405          
74 0.74 3.157333 0.9941088 0.993722 0.993916 0.004403          
75 0.75 3.2 0.99372234 0.993314 0.993518 0.004402          
76 0.76 3.242667 0.9933136 0.992882 0.993098 0.0044          
77 0.77 3.285333 0.99288151 0.992425 0.992653 0.004398          
78 0.78 3.328 0.99242497 0.991943 0.992184 0.004396          
79 0.79 3.370667 0.99194284 0.991434 0.991688 0.004394          
80 0.8 3.413333 0.99143394 0.990897 0.991166 0.004391          
81 0.81 3.456 0.99089706 0.990331 0.990614 0.004389          
82 0.82 3.498667 0.99033094 0.989734 0.990033 0.004386          
83 0.83 3.541333 0.98973429 0.989106 0.98942 0.004384          
84 0.84 3.584 0.98910579 0.988444 0.988775 0.004381          
85 0.85 3.626667 0.98844406 0.987748 0.988096 0.004378          
86 0.86 3.669333 0.9877477 0.987015 0.987381 0.004374          
87 0.87 3.712 0.98701526 0.986245 0.98663 0.004371          
88 0.88 3.754667 0.98624528 0.985436 0.985841 0.004368          
89 0.89 3.797333 0.98543622 0.984587 0.985011 0.004364          
90 0.9 3.84 0.98458654 0.983695 0.984141 0.00436          
91 0.91 3.882667 0.98369464 0.982759 0.983227 0.004356          
92 0.92 3.925333 0.9827589 0.981778 0.982268 0.004352          
93 0.93 3.968 0.98177767 0.980749 0.981263 0.004347          
94 0.94 4.010667 0.98074924 0.979672 0.980211 0.004343          
95 0.95 4.053333 0.97967189 0.978544 0.979108 0.004338          
96 0.96 4.096 0.97854386 0.977363 0.977954 0.004333          
97 0.97 4.138667 0.97736336 0.976129 0.976746 0.004327          
98 0.98 4.181333 0.97612859 0.974838 0.975483 0.004322          
99 0.99 4.224 0.97483768 0.973489 0.974163 0.004316          
100 1 4.266667 0.97348877 0.97208 0.972784 0.00431          
101 1.01 4.309333 0.97207997 0.970609 0.971345 0.004303          
102 1.02 4.352 0.97060935 0.969075 0.969842 0.004297          
103 1.03 4.394667 0.96907499 0.967475 0.968275 0.00429          
104 1.04 4.437333 0.96747491 0.965807 0.966641 0.004283          
105 1.05 4.48 0.96580716 0.96407 0.964938 0.004275          
106 1.06 4.522667 0.96406973 0.962261 0.963165 0.004267          
107 1.07 4.565333 0.96226065 0.960378 0.961319 0.004259          
108 1.08 4.608 0.96037789 0.958419 0.959399 0.004251          
109 1.09 4.650667 0.95841945 0.956383 0.957401 0.004242          
110 1.1 4.693333 0.95638332 0.954267 0.955325 0.004232          
111 1.11 4.736 0.95426746 0.95207 0.953169 0.004223          
112 1.12 4.778667 0.95206989 0.949789 0.950929 0.004213          
113 1.13 4.821333 0.94978858 0.947422 0.948605 0.004203          
114 1.14 4.864 0.94742155 0.944967 0.946194 0.004192          
115 1.15 4.906667 0.9449668 0.942422 0.943695 0.004181          
116 1.16 4.949333 0.94242237 0.939786 0.941104 0.004169          
117 1.17 4.992 0.93978633 0.937057 0.938422 0.004158          
118 1.18 5.034667 0.93705673 0.934232 0.935644 0.004145          
119 1.19 5.077333 0.93423169 0.931309 0.932771 0.004133          
120 1.2 5.12 0.93130935 0.928288 0.929799 0.004119          
121 1.21 5.162667 0.92828787 0.925165 0.926727 0.004106          
122 1.22 5.205333 0.92516548 0.92194 0.923553 0.004092          
123 1.23 5.248 0.92194042 0.918611 0.920276 0.004077          
124 1.24 5.290667 0.918611 0.915176 0.916893 0.004062          
125 1.25 5.333333 0.91517557 0.911633 0.913404 0.004047          
126 1.26 5.376 0.91163255 0.90798 0.909806 0.004031          
127 1.27 5.418667 0.90798041 0.904218 0.906099 0.004014          
128 1.28 5.461333 0.90421769 0.900343 0.90228 0.003997          
129 1.29 5.504 0.90034299 0.896355 0.898349 0.00398          
130 1.3 5.546667 0.89635499 0.892252 0.894304 0.003962          
131 1.31 5.589333 0.89225245 0.888034 0.890143 0.003944          
132 1.32 5.632 0.88803421 0.883699 0.885867 0.003925          
133 1.33 5.674667 0.88369918 0.879246 0.881473 0.003905          
134 1.34 5.717333 0.87924639 0.874675 0.876961 0.003885          
135 1.35 5.76 0.87467493 0.869984 0.872329 0.003865          
136 1.36 5.802667 0.86998401 0.865173 0.867578 0.003844          
137 1.37 5.845333 0.86517295 0.860241 0.862707 0.003822          
138 1.38 5.888 0.86024113 0.855188 0.857715 0.0038          
139 1.39 5.930667 0.8551881 0.850013 0.852601 0.003777          
140 1.4 5.973333 0.85001347 0.844717 0.847365 0.003754          
141 1.41 6.016 0.84471698 0.839299 0.842008 0.00373          
142 1.42 6.058667 0.83929852 0.833758 0.836528 0.003706          
143 1.43 6.101333 0.83375805 0.828096 0.830927 0.003681          
144 1.44 6.144 0.82809568 0.822312 0.825204 0.003656          
145 1.45 6.186667 0.82231167 0.816406 0.819359 0.00363          
146 1.46 6.229333 0.81640636 0.81038 0.813393 0.003604          
147 1.47 6.272 0.81038025 0.804234 0.807307 0.003577          
148 1.48 6.314667 0.80423397 0.797968 0.801101 0.003549          
149 1.49 6.357333 0.79796829 0.791584 0.794776 0.003521          
150 1.5 6.4 0.79158411 0.785082 0.788333 0.003493          
151 1.51 6.442667 0.78508246 0.778465 0.781773 0.003464          
152 1.52 6.485333 0.77846453 0.771732 0.775098 0.003434          
153 1.53 6.528 0.77173162 0.764885 0.768308 0.003404          
154 1.54 6.570667 0.76488519 0.757927 0.761406 0.003373          
155 1.55 6.613333 0.75792685 0.750858 0.754393 0.003342          
156 1.56 6.656 0.75085831 0.743681 0.74727 0.003311          
157 1.57 6.698667 0.74368147 0.736398 0.74004 0.003279          
158 1.58 6.741333 0.73639833 0.729011 0.732705 0.003246          
159 1.59 6.784 0.72901104 0.721522 0.725266 0.003213          
160 1.6 6.826667 0.7215219 0.713933 0.717728 0.00318          
161 1.61 6.869333 0.71393332 0.706248 0.710091 0.003146          
162 1.62 6.912 0.70624787 0.698468 0.702358 0.003112          
163 1.63 6.954667 0.69846823 0.690597 0.694533 0.003077          
164 1.64 6.997333 0.69059721 0.682638 0.686617 0.003042          
165 1.65 7.04 0.68263777 0.674593 0.678615 0.003007          
166 1.66 7.082667 0.67459295 0.666466 0.670529 0.002971          
167 1.67 7.125333 0.66646596 0.65826 0.662363 0.002935          
168 1.68 7.168 0.65826007 0.649979 0.654119 0.002898          
169 1.69 7.210667 0.64997872 0.641625 0.645802 0.002861          
170 1.7 7.253333 0.64162542 0.633204 0.637415 0.002824          
171 1.71 7.296 0.63320378 0.624718 0.628961 0.002787          
172 1.72 7.338667 0.62471754 0.616171 0.620444 0.002749          
173 1.73 7.381333 0.61617051 0.607567 0.611869 0.002711          
174 1.74 7.424 0.60756659 0.59891 0.603238 0.002673          
175 1.75 7.466667 0.59890977 0.590204 0.594557 0.002634          
176 1.76 7.509333 0.59020412 0.581454 0.585829 0.002595          
177 1.77 7.552 0.58145377 0.572663 0.577058 0.002557          
178 1.78 7.594667 0.57266293 0.563836 0.568249 0.002518          
179 1.79 7.637333 0.56383586 0.554977 0.559406 0.002478          
180 1.8 7.68 0.55497688 0.54609 0.550534 0.002439          
181 1.81 7.722667 0.54609035 0.537181 0.541636 0.0024          
182 1.82 7.765333 0.53718069 0.528252 0.532717 0.00236          
183 1.83 7.808 0.52825232 0.51931 0.523781 0.002321          
184 1.84 7.850667 0.51930973 0.510357 0.514834 0.002281          
185 1.85 7.893333 0.51035739 0.5014 0.505879 0.002241          
186 1.86 7.936 0.5013998 0.492442 0.496921 0.002202          
187 1.87 7.978667 0.49244151 0.483487 0.487964 0.002162          
188 1.88 8.021333 0.48348704 0.474541 0.479014 0.002122          
189 1.89 8.064 0.47454092 0.465608 0.470074 0.002083          
190 1.9 8.106667 0.46560763 0.456692 0.46115 0.002043          
191 1.91 8.149333 0.45669164 0.447797 0.452245 0.002004          
192 1.92 8.192 0.44779741 0.438929 0.443363 0.001964          
193 1.93 8.234667 0.43892935 0.430092 0.434511 0.001925          
194 1.94 8.277333 0.43009184 0.421289 0.425691 0.001886          
195 1.95 8.32 0.42128922 0.412526 0.416907 0.001847          
196 1.96 8.362667 0.41252576 0.403806 0.408166 0.001808          
197 1.97 8.405333 0.40380569 0.395133 0.399469 0.00177          
198 1.98 8.448 0.39513317 0.386512 0.390823 0.001731          
199 1.99 8.490667 0.38651229 0.377947 0.38223 0.001693          
200 2 8.533333 0.37794706 0.369441 0.373694 0.001656          
201 2.01 8.576 0.3694414 0.360999 0.36522 0.001618          
202 2.02 8.618667 0.36099918 0.352624 0.356812 0.001581          
203 2.03 8.661333 0.35262412 0.34432 0.348472 0.001544          
204 2.04 8.704 0.3443199 0.33609 0.340205 0.001507          
205 2.05 8.746667 0.33609007 0.327938 0.332014 0.001471          
206 2.06 8.789333 0.32793806 0.319867 0.323903 0.001435          
207 2.07 8.832 0.31986721 0.311881 0.315874 0.001399          
208 2.08 8.874667 0.31188076 0.303982 0.307931 0.001364          
209 2.09 8.917333 0.30398178 0.296173 0.300078 0.001329          
210 2.1 8.96 0.29617328 0.288458 0.292316 0.001295          
211 2.11 9.002667 0.2884581 0.280839 0.284649 0.001261          
212 2.12 9.045333 0.28083897 0.273318 0.277079 0.001228          
213 2.13 9.088 0.27331849 0.265899 0.269609 0.001194          
214 2.14 9.130667 0.26589912 0.258583 0.262241 0.001162          
215 2.15 9.173333 0.25858319 0.251373 0.254978 0.00113          
216 2.16 9.216 0.25137291 0.24427 0.247822 0.001098          
217 2.17 9.258667 0.24427032 0.237277 0.240774 0.001067          
218 2.18 9.301333 0.23727735 0.230396 0.233837 0.001036          
219 2.19 9.344 0.23039577 0.223627 0.227011 0.001006          
220 2.2 9.386667 0.22362722 0.216973 0.2203 0.000976          
221 2.21 9.429333 0.21697321 0.210435 0.213704 0.000947          
222 2.22 9.472 0.21043509 0.204014 0.207225 0.000918          
223 2.23 9.514667 0.20401408 0.197711 0.200863 0.00089          
224 2.24 9.557333 0.19771126 0.191528 0.194619 0.000862          
225 2.25 9.6 0.19152759 0.185464 0.188496 0.000835          
226 2.26 9.642667 0.18546385 0.179521 0.182492 0.000809          
227 2.27 9.685333 0.17952073 0.173699 0.17661 0.000782          
228 2.28 9.728 0.17369877 0.167998 0.170849 0.000757          
229 2.29 9.770667 0.16799836 0.16242 0.165209 0.000732          
230 2.3 9.813333 0.16241978 0.156963 0.159691 0.000707          
231 2.31 9.856 0.15696318 0.151629 0.154296 0.000684          
232 2.32 9.898667 0.15162859 0.146416 0.149022 0.00066          
233 2.33 9.941333 0.1464159 0.141325 0.14387 0.000637          
234 2.34 9.984 0.1413249 0.136355 0.13884 0.000615          
235 2.35 10.02667 0.13635525 0.131507 0.133931 0.000593          
236 2.36 10.06933 0.13150651 0.126778 0.129142 0.000572          
237 2.37 10.112 0.12677812 0.122169 0.124474 0.000551          
238 2.38 10.15467 0.12216941 0.11768 0.119925 0.000531          
239 2.39 10.19733 0.11767962 0.113308 0.115494 0.000512          
240 2.4 10.24 0.1133079 0.109053 0.111181 0.000493          
241 2.41 10.28267 0.10905327 0.104915 0.106984 0.000474          
242 2.42 10.32533 0.10491469 0.100891 0.102903 0.000456          
243 2.43 10.368 0.10089103 0.096981 0.098936 0.000438          
244 2.44 10.41067 0.09698106 0.093183 0.095082 0.000421          
245 2.45 10.45333 0.09318349 0.089497 0.09134 0.000405          
246 2.46 10.496 0.08949695 0.08592 0.087708 0.000389          
247 2.47 10.53867 0.08591999 0.082451 0.084186 0.000373          
248 2.48 10.58133 0.08245111 0.079089 0.08077 0.000358          
249 2.49 10.624 0.07908874 0.075831 0.07746 0.000343          
250 2.5 10.66667 0.07583124 0.072677 0.074254 0.000329          
251 2.51 10.70933 0.07267695 0.069624 0.071151 0.000315          
252 2.52 10.752 0.06962413 0.066671 0.068148 0.000302          
253 2.53 10.79467 0.066671 0.063816 0.065243 0.000289          
254 2.54 10.83733 0.06381575 0.061057 0.062436 0.000277          
255 2.55 10.88 0.06105654 0.058391 0.059724 0.000265          
256 2.56 10.92267 0.05839146 0.055819 0.057105 0.000253          
257 2.57 10.96533 0.05581861 0.053336 0.054577 0.000242          
258 2.58 11.008 0.05333605 0.050942 0.052139 0.000231          
259 2.59 11.05067 0.05094181 0.048634 0.049788 0.000221          
260 2.6 11.09333 0.04863393 0.04641 0.047522 0.000211          
261 2.61 11.136 0.0464104 0.044269 0.04534 0.000201          
262 2.62 11.17867 0.04426923 0.042208 0.043239 0.000192          
263 2.63 11.22133 0.0422084 0.040226 0.041217 0.000183          
264 2.64 11.264 0.0402259 0.03832 0.039273 0.000174          
265 2.65 11.30667 0.0383197 0.036488 0.037404 0.000166          
266 2.66 11.34933 0.03648781 0.034728 0.035608 0.000158          
267 2.67 11.392 0.03472821 0.033039 0.033884 0.00015          
268 2.68 11.43467 0.0330389 0.031418 0.032228 0.000143          
269 2.69 11.47733 0.03141789 0.029863 0.030641 0.000136          
270 2.7 11.52 0.0298632 0.028373 0.029118 0.000129          
271 2.71 11.56267 0.02837287 0.026945 0.027659 0.000123          
272 2.72 11.60533 0.02694496 0.025578 0.026261 0.000116          
273 2.73 11.648 0.02557754 0.024269 0.024923 0.00011          
274 2.74 11.69067 0.02426871 0.023017 0.023643 0.000105          
275 2.75 11.73333 0.02301659 0.021819 0.022418 9.93E-05          
276 2.76 11.776 0.02181933 0.020675 0.021247 9.41E-05          
277 2.77 11.81867 0.02067509 0.019582 0.020129 8.92E-05          
278 2.78 11.86133 0.0195821 0.018539 0.01906 8.44E-05          
279 2.79 11.904 0.01853857 0.017543 0.018041 7.99E-05          
280 2.8 11.94667 0.01754277 0.016593 0.017068 7.56E-05          
281 2.81 11.98933 0.01659299 0.015688 0.01614 7.15E-05          
282 2.82 12.032 0.01568757 0.014825 0.015256 6.76E-05          
283 2.83 12.07467 0.01482487 0.014003 0.014414 6.39E-05          
284 2.84 12.11733 0.01400328 0.013221 0.013612 6.03E-05          
285 2.85 12.16 0.01322125 0.012477 0.012849 5.69E-05          
286 2.86 12.20267 0.01247724 0.01177 0.012124 5.37E-05          
287 2.87 12.24533 0.01176977 0.011097 0.011434 5.07E-05          
288 2.88 12.288 0.01109737 0.010459 0.010778 4.78E-05          
289 2.89 12.33067 0.01045863 0.009852 0.010155 4.5E-05          
290 2.9 12.37333 0.00985217 0.009277 0.009564 4.24E-05          
291 2.91 12.416 0.00927665 0.008731 0.009004 3.99E-05          
292 2.92 12.45867 0.00873077 0.008213 0.008472 3.75E-05          
293 2.93 12.50133 0.00821326 0.007723 0.007968 3.53E-05          
294 2.94 12.544 0.00772289 0.007258 0.007491 3.32E-05          
295 2.95 12.58667 0.00725848 0.006819 0.007039 3.12E-05          
296 2.96 12.62933 0.00681887 0.006403 0.006611 2.93E-05          
297 2.97 12.672 0.00640295 0.00601 0.006206 2.75E-05          
298 2.98 12.71467 0.00600964 0.005638 0.005824 2.58E-05          
299 2.99 12.75733 0.00563789 0.005287 0.005462 2.42E-05          
300 3 12.8 0.00528671 0.004955 0.005121 2.27E-05          
        SUM   2.149118          

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 2.8874
Qo= 10.67 vph   Ko=   1.350633 veh/mile        
MU 7.90 mph   No=   4  veh        
SIGMA 1.90 mph   ALPHAO= 0.7404 miles        
U= 12.80 mph                  
X= 3.00 miles   AVERAGE TOTAL MEETINGS= 6.55   PER HOUR= 27.95
        STANDARD DEVIATION= 2.56     5
        DETERMINISTIC  EQUATION= 6.55      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       4.051899          
1 0.01 0.042667 0.99998393 0.999982 0.999983 0.013506          
2 0.02 0.085333 0.99998228 0.99998 0.999981 0.013506          
3 0.03 0.128 0.99998046 0.999978 0.999979 0.013506          
4 0.04 0.170667 0.99997847 0.999976 0.999977 0.013506          
5 0.05 0.213333 0.99997629 0.999974 0.999975 0.013506          
6 0.06 0.256 0.99997389 0.999971 0.999973 0.013506          
7 0.07 0.298667 0.99997127 0.999968 0.99997 0.013506          
8 0.08 0.341333 0.99996841 0.999965 0.999967 0.013506          
9 0.09 0.384 0.99996527 0.999962 0.999964 0.013506          
10 0.1 0.426667 0.99996184 0.999958 0.99996 0.013506          
11 0.11 0.469333 0.99995809 0.999954 0.999956 0.013506          
12 0.12 0.512 0.999954 0.99995 0.999952 0.013506          
13 0.13 0.554667 0.99994953 0.999945 0.999947 0.013506          
14 0.14 0.597333 0.99994465 0.999939 0.999942 0.013506          
15 0.15 0.64 0.99993933 0.999934 0.999936 0.013505          
16 0.16 0.682667 0.99993354 0.999927 0.99993 0.013505          
17 0.17 0.725333 0.99992722 0.99992 0.999924 0.013505          
18 0.18 0.768 0.99992034 0.999913 0.999917 0.013505          
19 0.19 0.810667 0.99991285 0.999905 0.999909 0.013505          
20 0.2 0.853333 0.9999047 0.999896 0.9999 0.013505          
21 0.21 0.896 0.99989584 0.999886 0.999891 0.013505          
22 0.22 0.938667 0.99988621 0.999876 0.999881 0.013505          
23 0.23 0.981333 0.99987575 0.999864 0.99987 0.013505          
24 0.24 1.024 0.99986439 0.999852 0.999858 0.013504          
25 0.25 1.066667 0.99985206 0.999839 0.999845 0.013504          
26 0.26 1.109333 0.99983869 0.999824 0.999831 0.013504          
27 0.27 1.152 0.9998242 0.999808 0.999816 0.013504          
28 0.28 1.194667 0.9998085 0.999791 0.9998 0.013504          
29 0.29 1.237333 0.99979149 0.999773 0.999782 0.013503          
30 0.3 1.28 0.99977308 0.999753 0.999763 0.013503          
31 0.31 1.322667 0.99975316 0.999732 0.999742 0.013503          
32 0.32 1.365333 0.99973162 0.999708 0.99972 0.013503          
33 0.33 1.408 0.99970834 0.999683 0.999696 0.013502          
34 0.34 1.450667 0.99968319 0.999656 0.99967 0.013502          
35 0.35 1.493333 0.99965603 0.999627 0.999641 0.013501          
36 0.36 1.536 0.99962673 0.999595 0.999611 0.013501          
37 0.37 1.578667 0.99959512 0.999561 0.999578 0.013501          
38 0.38 1.621333 0.99956104 0.999524 0.999543 0.0135          
39 0.39 1.664 0.99952432 0.999485 0.999505 0.0135          
40 0.4 1.706667 0.99948476 0.999442 0.999463 0.013499          
41 0.41 1.749333 0.99944219 0.999396 0.999419 0.013498          
42 0.42 1.792 0.99939638 0.999347 0.999372 0.013498          
43 0.43 1.834667 0.99934712 0.999294 0.999321 0.013497          
44 0.44 1.877333 0.99929417 0.999237 0.999266 0.013496          
45 0.45 1.92 0.99923728 0.999176 0.999207 0.013496          
46 0.46 1.962667 0.9991762 0.999111 0.999143 0.013495          
47 0.47 2.005333 0.99911064 0.99904 0.999075 0.013494          
48 0.48 2.048 0.99904032 0.998965 0.999003 0.013493          
49 0.49 2.090667 0.99896493 0.998884 0.998925 0.013492          
50 0.5 2.133333 0.99888414 0.998798 0.998841 0.013491          
51 0.51 2.176 0.9987976 0.998705 0.998751 0.013489          
52 0.52 2.218667 0.99870497 0.998606 0.998655 0.013488          
53 0.53 2.261333 0.99860584 0.9985 0.998553 0.013487          
54 0.54 2.304 0.99849984 0.998387 0.998443 0.013485          
55 0.55 2.346667 0.99838653 0.998265 0.998326 0.013484          
56 0.56 2.389333 0.99826548 0.998136 0.998201 0.013482          
57 0.57 2.432 0.99813621 0.997998 0.998067 0.01348          
58 0.58 2.474667 0.99799824 0.997851 0.997925 0.013478          
59 0.59 2.517333 0.99785106 0.997694 0.997773 0.013476          
60 0.6 2.56 0.99769414 0.997527 0.997611 0.013474          
61 0.61 2.602667 0.99752691 0.997349 0.997438 0.013472          
62 0.62 2.645333 0.99734879 0.997159 0.997254 0.013469          
63 0.63 2.688 0.99715916 0.996957 0.997058 0.013467          
64 0.64 2.730667 0.99695737 0.996743 0.99685 0.013464          
65 0.65 2.773333 0.99674277 0.996515 0.996629 0.013461          
66 0.66 2.816 0.99651465 0.996272 0.996393 0.013458          
67 0.67 2.858667 0.99627228 0.996015 0.996144 0.013454          
68 0.68 2.901333 0.9960149 0.995742 0.995878 0.013451          
69 0.69 2.944 0.99574172 0.995452 0.995597 0.013447          
70 0.7 2.986667 0.99545192 0.995145 0.995298 0.013443          
71 0.71 3.029333 0.99514463 0.994819 0.994982 0.013439          
72 0.72 3.072 0.99481897 0.994474 0.994646 0.013434          
73 0.73 3.114667 0.99447401 0.994109 0.994291 0.013429          
74 0.74 3.157333 0.9941088 0.993722 0.993916 0.013424          
75 0.75 3.2 0.99372234 0.993314 0.993518 0.013419          
76 0.76 3.242667 0.9933136 0.992882 0.993098 0.013413          
77 0.77 3.285333 0.99288151 0.992425 0.992653 0.013407          
78 0.78 3.328 0.99242497 0.991943 0.992184 0.013401          
79 0.79 3.370667 0.99194284 0.991434 0.991688 0.013394          
80 0.8 3.413333 0.99143394 0.990897 0.991166 0.013387          
81 0.81 3.456 0.99089706 0.990331 0.990614 0.01338          
82 0.82 3.498667 0.99033094 0.989734 0.990033 0.013372          
83 0.83 3.541333 0.98973429 0.989106 0.98942 0.013363          
84 0.84 3.584 0.98910579 0.988444 0.988775 0.013355          
85 0.85 3.626667 0.98844406 0.987748 0.988096 0.013346          
86 0.86 3.669333 0.9877477 0.987015 0.987381 0.013336          
87 0.87 3.712 0.98701526 0.986245 0.98663 0.013326          
88 0.88 3.754667 0.98624528 0.985436 0.985841 0.013315          
89 0.89 3.797333 0.98543622 0.984587 0.985011 0.013304          
90 0.9 3.84 0.98458654 0.983695 0.984141 0.013292          
91 0.91 3.882667 0.98369464 0.982759 0.983227 0.01328          
92 0.92 3.925333 0.9827589 0.981778 0.982268 0.013267          
93 0.93 3.968 0.98177767 0.980749 0.981263 0.013253          
94 0.94 4.010667 0.98074924 0.979672 0.980211 0.013239          
95 0.95 4.053333 0.97967189 0.978544 0.979108 0.013224          
96 0.96 4.096 0.97854386 0.977363 0.977954 0.013209          
97 0.97 4.138667 0.97736336 0.976129 0.976746 0.013192          
98 0.98 4.181333 0.97612859 0.974838 0.975483 0.013175          
99 0.99 4.224 0.97483768 0.973489 0.974163 0.013157          
100 1 4.266667 0.97348877 0.97208 0.972784 0.013139          
101 1.01 4.309333 0.97207997 0.970609 0.971345 0.013119          
102 1.02 4.352 0.97060935 0.969075 0.969842 0.013099          
103 1.03 4.394667 0.96907499 0.967475 0.968275 0.013078          
104 1.04 4.437333 0.96747491 0.965807 0.966641 0.013056          
105 1.05 4.48 0.96580716 0.96407 0.964938 0.013033          
106 1.06 4.522667 0.96406973 0.962261 0.963165 0.013009          
107 1.07 4.565333 0.96226065 0.960378 0.961319 0.012984          
108 1.08 4.608 0.96037789 0.958419 0.959399 0.012958          
109 1.09 4.650667 0.95841945 0.956383 0.957401 0.012931          
110 1.1 4.693333 0.95638332 0.954267 0.955325 0.012903          
111 1.11 4.736 0.95426746 0.95207 0.953169 0.012874          
112 1.12 4.778667 0.95206989 0.949789 0.950929 0.012844          
113 1.13 4.821333 0.94978858 0.947422 0.948605 0.012812          
114 1.14 4.864 0.94742155 0.944967 0.946194 0.01278          
115 1.15 4.906667 0.9449668 0.942422 0.943695 0.012746          
116 1.16 4.949333 0.94242237 0.939786 0.941104 0.012711          
117 1.17 4.992 0.93978633 0.937057 0.938422 0.012675          
118 1.18 5.034667 0.93705673 0.934232 0.935644 0.012637          
119 1.19 5.077333 0.93423169 0.931309 0.932771 0.012598          
120 1.2 5.12 0.93130935 0.928288 0.929799 0.012558          
121 1.21 5.162667 0.92828787 0.925165 0.926727 0.012517          
122 1.22 5.205333 0.92516548 0.92194 0.923553 0.012474          
123 1.23 5.248 0.92194042 0.918611 0.920276 0.01243          
124 1.24 5.290667 0.918611 0.915176 0.916893 0.012384          
125 1.25 5.333333 0.91517557 0.911633 0.913404 0.012337          
126 1.26 5.376 0.91163255 0.90798 0.909806 0.012288          
127 1.27 5.418667 0.90798041 0.904218 0.906099 0.012238          
128 1.28 5.461333 0.90421769 0.900343 0.90228 0.012186          
129 1.29 5.504 0.90034299 0.896355 0.898349 0.012133          
130 1.3 5.546667 0.89635499 0.892252 0.894304 0.012079          
131 1.31 5.589333 0.89225245 0.888034 0.890143 0.012023          
132 1.32 5.632 0.88803421 0.883699 0.885867 0.011965          
133 1.33 5.674667 0.88369918 0.879246 0.881473 0.011905          
134 1.34 5.717333 0.87924639 0.874675 0.876961 0.011845          
135 1.35 5.76 0.87467493 0.869984 0.872329 0.011782          
136 1.36 5.802667 0.86998401 0.865173 0.867578 0.011718          
137 1.37 5.845333 0.86517295 0.860241 0.862707 0.011652          
138 1.38 5.888 0.86024113 0.855188 0.857715 0.011585          
139 1.39 5.930667 0.8551881 0.850013 0.852601 0.011516          
140 1.4 5.973333 0.85001347 0.844717 0.847365 0.011445          
141 1.41 6.016 0.84471698 0.839299 0.842008 0.011372          
142 1.42 6.058667 0.83929852 0.833758 0.836528 0.011298          
143 1.43 6.101333 0.83375805 0.828096 0.830927 0.011223          
144 1.44 6.144 0.82809568 0.822312 0.825204 0.011145          
145 1.45 6.186667 0.82231167 0.816406 0.819359 0.011067          
146 1.46 6.229333 0.81640636 0.81038 0.813393 0.010986          
147 1.47 6.272 0.81038025 0.804234 0.807307 0.010904          
148 1.48 6.314667 0.80423397 0.797968 0.801101 0.01082          
149 1.49 6.357333 0.79796829 0.791584 0.794776 0.010735          
150 1.5 6.4 0.79158411 0.785082 0.788333 0.010647          
151 1.51 6.442667 0.78508246 0.778465 0.781773 0.010559          
152 1.52 6.485333 0.77846453 0.771732 0.775098 0.010469          
153 1.53 6.528 0.77173162 0.764885 0.768308 0.010377          
154 1.54 6.570667 0.76488519 0.757927 0.761406 0.010284          
155 1.55 6.613333 0.75792685 0.750858 0.754393 0.010189          
156 1.56 6.656 0.75085831 0.743681 0.74727 0.010093          
157 1.57 6.698667 0.74368147 0.736398 0.74004 0.009995          
158 1.58 6.741333 0.73639833 0.729011 0.732705 0.009896          
159 1.59 6.784 0.72901104 0.721522 0.725266 0.009796          
160 1.6 6.826667 0.7215219 0.713933 0.717728 0.009694          
161 1.61 6.869333 0.71393332 0.706248 0.710091 0.009591          
162 1.62 6.912 0.70624787 0.698468 0.702358 0.009486          
163 1.63 6.954667 0.69846823 0.690597 0.694533 0.009381          
164 1.64 6.997333 0.69059721 0.682638 0.686617 0.009274          
165 1.65 7.04 0.68263777 0.674593 0.678615 0.009166          
166 1.66 7.082667 0.67459295 0.666466 0.670529 0.009056          
167 1.67 7.125333 0.66646596 0.65826 0.662363 0.008946          
168 1.68 7.168 0.65826007 0.649979 0.654119 0.008835          
169 1.69 7.210667 0.64997872 0.641625 0.645802 0.008722          
170 1.7 7.253333 0.64162542 0.633204 0.637415 0.008609          
171 1.71 7.296 0.63320378 0.624718 0.628961 0.008495          
172 1.72 7.338667 0.62471754 0.616171 0.620444 0.00838          
173 1.73 7.381333 0.61617051 0.607567 0.611869 0.008264          
174 1.74 7.424 0.60756659 0.59891 0.603238 0.008148          
175 1.75 7.466667 0.59890977 0.590204 0.594557 0.00803          
176 1.76 7.509333 0.59020412 0.581454 0.585829 0.007912          
177 1.77 7.552 0.58145377 0.572663 0.577058 0.007794          
178 1.78 7.594667 0.57266293 0.563836 0.568249 0.007675          
179 1.79 7.637333 0.56383586 0.554977 0.559406 0.007556          
180 1.8 7.68 0.55497688 0.54609 0.550534 0.007436          
181 1.81 7.722667 0.54609035 0.537181 0.541636 0.007316          
182 1.82 7.765333 0.53718069 0.528252 0.532717 0.007195          
183 1.83 7.808 0.52825232 0.51931 0.523781 0.007074          
184 1.84 7.850667 0.51930973 0.510357 0.514834 0.006954          
185 1.85 7.893333 0.51035739 0.5014 0.505879 0.006833          
186 1.86 7.936 0.5013998 0.492442 0.496921 0.006712          
187 1.87 7.978667 0.49244151 0.483487 0.487964 0.006591          
188 1.88 8.021333 0.48348704 0.474541 0.479014 0.00647          
189 1.89 8.064 0.47454092 0.465608 0.470074 0.006349          
190 1.9 8.106667 0.46560763 0.456692 0.46115 0.006228          
191 1.91 8.149333 0.45669164 0.447797 0.452245 0.006108          
192 1.92 8.192 0.44779741 0.438929 0.443363 0.005988          
193 1.93 8.234667 0.43892935 0.430092 0.434511 0.005869          
194 1.94 8.277333 0.43009184 0.421289 0.425691 0.00575          
195 1.95 8.32 0.42128922 0.412526 0.416907 0.005631          
196 1.96 8.362667 0.41252576 0.403806 0.408166 0.005513          
197 1.97 8.405333 0.40380569 0.395133 0.399469 0.005395          
198 1.98 8.448 0.39513317 0.386512 0.390823 0.005279          
199 1.99 8.490667 0.38651229 0.377947 0.38223 0.005163          
200 2 8.533333 0.37794706 0.369441 0.373694 0.005047          
201 2.01 8.576 0.3694414 0.360999 0.36522 0.004933          
202 2.02 8.618667 0.36099918 0.352624 0.356812 0.004819          
203 2.03 8.661333 0.35262412 0.34432 0.348472 0.004707          
204 2.04 8.704 0.3443199 0.33609 0.340205 0.004595          
205 2.05 8.746667 0.33609007 0.327938 0.332014 0.004484          
206 2.06 8.789333 0.32793806 0.319867 0.323903 0.004375          
207 2.07 8.832 0.31986721 0.311881 0.315874 0.004266          
208 2.08 8.874667 0.31188076 0.303982 0.307931 0.004159          
209 2.09 8.917333 0.30398178 0.296173 0.300078 0.004053          
210 2.1 8.96 0.29617328 0.288458 0.292316 0.003948          
211 2.11 9.002667 0.2884581 0.280839 0.284649 0.003845          
212 2.12 9.045333 0.28083897 0.273318 0.277079 0.003742          
213 2.13 9.088 0.27331849 0.265899 0.269609 0.003641          
214 2.14 9.130667 0.26589912 0.258583 0.262241 0.003542          
215 2.15 9.173333 0.25858319 0.251373 0.254978 0.003444          
216 2.16 9.216 0.25137291 0.24427 0.247822 0.003347          
217 2.17 9.258667 0.24427032 0.237277 0.240774 0.003252          
218 2.18 9.301333 0.23727735 0.230396 0.233837 0.003158          
219 2.19 9.344 0.23039577 0.223627 0.227011 0.003066          
220 2.2 9.386667 0.22362722 0.216973 0.2203 0.002975          
221 2.21 9.429333 0.21697321 0.210435 0.213704 0.002886          
222 2.22 9.472 0.21043509 0.204014 0.207225 0.002799          
223 2.23 9.514667 0.20401408 0.197711 0.200863 0.002713          
224 2.24 9.557333 0.19771126 0.191528 0.194619 0.002629          
225 2.25 9.6 0.19152759 0.185464 0.188496 0.002546          
226 2.26 9.642667 0.18546385 0.179521 0.182492 0.002465          
227 2.27 9.685333 0.17952073 0.173699 0.17661 0.002385          
228 2.28 9.728 0.17369877 0.167998 0.170849 0.002308          
229 2.29 9.770667 0.16799836 0.16242 0.165209 0.002231          
230 2.3 9.813333 0.16241978 0.156963 0.159691 0.002157          
231 2.31 9.856 0.15696318 0.151629 0.154296 0.002084          
232 2.32 9.898667 0.15162859 0.146416 0.149022 0.002013          
233 2.33 9.941333 0.1464159 0.141325 0.14387 0.001943          
234 2.34 9.984 0.1413249 0.136355 0.13884 0.001875          
235 2.35 10.02667 0.13635525 0.131507 0.133931 0.001809          
236 2.36 10.06933 0.13150651 0.126778 0.129142 0.001744          
237 2.37 10.112 0.12677812 0.122169 0.124474 0.001681          
238 2.38 10.15467 0.12216941 0.11768 0.119925 0.00162          
239 2.39 10.19733 0.11767962 0.113308 0.115494 0.00156          
240 2.4 10.24 0.1133079 0.109053 0.111181 0.001502          
241 2.41 10.28267 0.10905327 0.104915 0.106984 0.001445          
242 2.42 10.32533 0.10491469 0.100891 0.102903 0.00139          
243 2.43 10.368 0.10089103 0.096981 0.098936 0.001336          
244 2.44 10.41067 0.09698106 0.093183 0.095082 0.001284          
245 2.45 10.45333 0.09318349 0.089497 0.09134 0.001234          
246 2.46 10.496 0.08949695 0.08592 0.087708 0.001185          
247 2.47 10.53867 0.08591999 0.082451 0.084186 0.001137          
248 2.48 10.58133 0.08245111 0.079089 0.08077 0.001091          
249 2.49 10.624 0.07908874 0.075831 0.07746 0.001046          
250 2.5 10.66667 0.07583124 0.072677 0.074254 0.001003          
251 2.51 10.70933 0.07267695 0.069624 0.071151 0.000961          
252 2.52 10.752 0.06962413 0.066671 0.068148 0.00092          
253 2.53 10.79467 0.066671 0.063816 0.065243 0.000881          
254 2.54 10.83733 0.06381575 0.061057 0.062436 0.000843          
255 2.55 10.88 0.06105654 0.058391 0.059724 0.000807          
256 2.56 10.92267 0.05839146 0.055819 0.057105 0.000771          
257 2.57 10.96533 0.05581861 0.053336 0.054577 0.000737          
258 2.58 11.008 0.05333605 0.050942 0.052139 0.000704          
259 2.59 11.05067 0.05094181 0.048634 0.049788 0.000672          
260 2.6 11.09333 0.04863393 0.04641 0.047522 0.000642          
261 2.61 11.136 0.0464104 0.044269 0.04534 0.000612          
262 2.62 11.17867 0.04426923 0.042208 0.043239 0.000584          
263 2.63 11.22133 0.0422084 0.040226 0.041217 0.000557          
264 2.64 11.264 0.0402259 0.03832 0.039273 0.00053          
265 2.65 11.30667 0.0383197 0.036488 0.037404 0.000505          
266 2.66 11.34933 0.03648781 0.034728 0.035608 0.000481          
267 2.67 11.392 0.03472821 0.033039 0.033884 0.000458          
268 2.68 11.43467 0.0330389 0.031418 0.032228 0.000435          
269 2.69 11.47733 0.03141789 0.029863 0.030641 0.000414          
270 2.7 11.52 0.0298632 0.028373 0.029118 0.000393          
271 2.71 11.56267 0.02837287 0.026945 0.027659 0.000374          
272 2.72 11.60533 0.02694496 0.025578 0.026261 0.000355          
273 2.73 11.648 0.02557754 0.024269 0.024923 0.000337          
274 2.74 11.69067 0.02426871 0.023017 0.023643 0.000319          
275 2.75 11.73333 0.02301659 0.021819 0.022418 0.000303          
276 2.76 11.776 0.02181933 0.020675 0.021247 0.000287          
277 2.77 11.81867 0.02067509 0.019582 0.020129 0.000272          
278 2.78 11.86133 0.0195821 0.018539 0.01906 0.000257          
279 2.79 11.904 0.01853857 0.017543 0.018041 0.000244          
280 2.8 11.94667 0.01754277 0.016593 0.017068 0.000231          
281 2.81 11.98933 0.01659299 0.015688 0.01614 0.000218          
282 2.82 12.032 0.01568757 0.014825 0.015256 0.000206          
283 2.83 12.07467 0.01482487 0.014003 0.014414 0.000195          
284 2.84 12.11733 0.01400328 0.013221 0.013612 0.000184          
285 2.85 12.16 0.01322125 0.012477 0.012849 0.000174          
286 2.86 12.20267 0.01247724 0.01177 0.012124 0.000164          
287 2.87 12.24533 0.01176977 0.011097 0.011434 0.000154          
288 2.88 12.288 0.01109737 0.010459 0.010778 0.000146          
289 2.89 12.33067 0.01045863 0.009852 0.010155 0.000137          
290 2.9 12.37333 0.00985217 0.009277 0.009564 0.000129          
291 2.91 12.416 0.00927665 0.008731 0.009004 0.000122          
292 2.92 12.45867 0.00873077 0.008213 0.008472 0.000114          
293 2.93 12.50133 0.00821326 0.007723 0.007968 0.000108          
294 2.94 12.544 0.00772289 0.007258 0.007491 0.000101          
295 2.95 12.58667 0.00725848 0.006819 0.007039 9.51E-05          
296 2.96 12.62933 0.00681887 0.006403 0.006611 8.93E-05          
297 2.97 12.672 0.00640295 0.00601 0.006206 8.38E-05          
298 2.98 12.71467 0.00600964 0.005638 0.005824 7.87E-05          
299 2.99 12.75733 0.00563789 0.005287 0.005462 7.38E-05          
300 3 12.8 0.00528671 0.004955 0.005121 6.92E-05          
        SUM   6.55174          

 

FHWA-HRT-05-138

 

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