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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

Active Pedestrian

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 31.08 vph   K=   9.141176471 vpm      
MU 3.40 mph   N=   27 veh      
SIGMA 0.60 mph                
U= 12.8 mph                
X= 3 miles   ACTIVE PASSINGS TOTALS= 20.14   PER HOUR= 85.93
BETA 1 (<= 1.0) STANDARD DEVIATION= 4.49     1
        DETERMINISTIC (FOR MU <<<< U)= 20.14      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 1.00000000 1 1 0.091411765        
2 0.02 12.71 1 1 1 0.091411765        
3 0.03 12.67 1 1 1 0.091411765        
4 0.04 12.63 1 1 1 0.091411765        
5 0.05 12.59 1 1 1 0.091411765        
6 0.06 12.54 1 1 1 0.091411765        
7 0.07 12.50 1 1 1 0.091411765        
8 0.08 12.46 1 1 1 0.091411765        
9 0.09 12.42 1 1 1 0.091411765        
10 0.1 12.37 1 1 1 0.091411765        
11 0.11 12.33 1 1 1 0.091411765        
12 0.12 12.29 1 1 1 0.091411765        
13 0.13 12.25 1 1 1 0.091411765        
14 0.14 12.20 1 1 1 0.091411765        
15 0.15 12.16 1 1 1 0.091411765        
16 0.16 12.12 1 1 1 0.091411765        
17 0.17 12.07 1 1 1 0.091411765        
18 0.18 12.03 1 1 1 0.091411765        
19 0.19 11.99 1 1 1 0.091411765        
20 0.2 11.95 1 1 1 0.091411765        
21 0.21 11.90 1 1 1 0.091411765        
22 0.22 11.86 1 1 1 0.091411765        
23 0.23 11.82 1 1 1 0.091411765        
24 0.24 11.78 1 1 1 0.091411765        
25 0.25 11.73 1 1 1 0.091411765        
26 0.26 11.69 1 1 1 0.091411765        
27 0.27 11.65 1 1 1 0.091411765        
28 0.28 11.61 1 1 1 0.091411765        
29 0.29 11.56 1 1 1 0.091411765        
30 0.3 11.52 1 1 1 0.091411765        
31 0.31 11.48 1 1 1 0.091411765        
32 0.32 11.43 1 1 1 0.091411765        
33 0.33 11.39 1 1 1 0.091411765        
34 0.34 11.35 1 1 1 0.091411765        
35 0.35 11.31 1 1 1 0.091411765        
36 0.36 11.26 1 1 1 0.091411765        
37 0.37 11.22 1 1 1 0.091411765        
38 0.38 11.18 1 1 1 0.091411765        
39 0.39 11.14 1 1 1 0.091411765        
40 0.4 11.09 1 1 1 0.091411765        
41 0.41 11.05 1 1 1 0.091411765        
42 0.42 11.01 1 1 1 0.091411765        
43 0.43 10.97 1 1 1 0.091411765        
44 0.44 10.92 1 1 1 0.091411765        
45 0.45 10.88 1 1 1 0.091411765        
46 0.46 10.84 1 1 1 0.091411765        
47 0.47 10.79 1 1 1 0.091411765        
48 0.48 10.75 1 1 1 0.091411765        
49 0.49 10.71 1 1 1 0.091411765        
50 0.5 10.67 1 1 1 0.091411765        
51 0.51 10.62 1 1 1 0.091411765        
52 0.52 10.58 1 1 1 0.091411765        
53 0.53 10.54 1 1 1 0.091411765        
54 0.54 10.50 1 1 1 0.091411765        
55 0.55 10.45 1 1 1 0.091411765        
56 0.56 10.41 1 1 1 0.091411765        
57 0.57 10.37 1 1 1 0.091411765        
58 0.58 10.33 1 1 1 0.091411765        
59 0.59 10.28 1 1 1 0.091411765        
60 0.6 10.24 1 1 1 0.091411765        
61 0.61 10.20 1 1 1 0.091411765        
62 0.62 10.15 1 1 1 0.091411765        
63 0.63 10.11 1 1 1 0.091411765        
64 0.64 10.07 1 1 1 0.091411765        
65 0.65 10.03 1 1 1 0.091411765        
66 0.66 9.98 1 1 1 0.091411765        
67 0.67 9.94 1 1 1 0.091411765        
68 0.68 9.90 1 1 1 0.091411765        
69 0.69 9.86 1 1 1 0.091411765        
70 0.7 9.81 1 1 1 0.091411765        
71 0.71 9.77 1 1 1 0.091411765        
72 0.72 9.73 1 1 1 0.091411765        
73 0.73 9.69 1 1 1 0.091411765        
74 0.74 9.64 1 1 1 0.091411765        
75 0.75 9.60 1 1 1 0.091411765        
76 0.76 9.56 1 1 1 0.091411765        
77 0.77 9.51 1 1 1 0.091411765        
78 0.78 9.47 1 1 1 0.091411765        
79 0.79 9.43 1 1 1 0.091411765        
80 0.8 9.39 1 1 1 0.091411765        
81 0.81 9.34 1 1 1 0.091411765        
82 0.82 9.30 1 1 1 0.091411765        
83 0.83 9.26 1 1 1 0.091411765        
84 0.84 9.22 1 1 1 0.091411765        
85 0.85 9.17 1 1 1 0.091411765        
86 0.86 9.13 1 1 1 0.091411765        
87 0.87 9.09 1 1 1 0.091411765        
88 0.88 9.05 1 1 1 0.091411765        
89 0.89 9.00 1 1 1 0.091411765        
90 0.9 8.96 1 1 1 0.091411765        
91 0.91 8.92 1 1 1 0.091411765        
92 0.92 8.87 1 1 1 0.091411765        
93 0.93 8.83 1 1 1 0.091411765        
94 0.94 8.79 1 1 1 0.091411765        
95 0.95 8.75 1 1 1 0.091411765        
96 0.96 8.70 1 1 1 0.091411765        
97 0.97 8.66 1 1 1 0.091411765        
98 0.98 8.62 1 1 1 0.091411765        
99 0.99 8.58 1 1 1 0.091411765        
100 1 8.53 1 1 1 0.091411765        
101 1.01 8.49 1 1 1 0.091411765        
102 1.02 8.45 1 1 1 0.091411765        
103 1.03 8.41 1 1 1 0.091411765        
104 1.04 8.36 1 1 1 0.091411765        
105 1.05 8.32 1 1 1 0.091411765        
106 1.06 8.28 1 1 1 0.091411765        
107 1.07 8.23 1 1 1 0.091411765        
108 1.08 8.19 1 1 1 0.091411765        
109 1.09 8.15 1 1 1 0.091411765        
110 1.1 8.11 1 1 1 0.091411765        
111 1.11 8.06 1 1 1 0.091411765        
112 1.12 8.02 1 1 1 0.091411765        
113 1.13 7.98 1 1 1 0.091411765        
114 1.14 7.94 1 1 1 0.091411765        
115 1.15 7.89 1 1 1 0.091411765        
116 1.16 7.85 1 1 1 0.091411765        
117 1.17 7.81 1 1 1 0.091411765        
118 1.18 7.77 1 1 1 0.091411765        
119 1.19 7.72 1 1 1 0.091411765        
120 1.2 7.68 1 1 1 0.091411765        
121 1.21 7.64 1 1 1 0.091411765        
122 1.22 7.59 1 1 1 0.091411765        
123 1.23 7.55 1 1 1 0.091411765        
124 1.24 7.51 1 1 1 0.091411765        
125 1.25 7.47 1 1 1 0.091411765        
126 1.26 7.42 1 1 1 0.091411765        
127 1.27 7.38 1 1 1 0.091411765        
128 1.28 7.34 1 1 1 0.091411765        
129 1.29 7.30 1 1 1 0.091411765        
130 1.3 7.25 1 1 1 0.091411765        
131 1.31 7.21 1 1 1 0.091411765        
132 1.32 7.17 1 1 1 0.091411765        
133 1.33 7.13 1 1 1 0.091411765        
134 1.34 7.08 1 1 1 0.091411765        
135 1.35 7.04 1 1 1 0.091411765        
136 1.36 7.00 0.999999999 1 1 0.091411765        
137 1.37 6.95 0.999999999 1 1 0.091411765        
138 1.38 6.91 0.999999998 1 1 0.091411765        
139 1.39 6.87 0.999999998 1 1 0.091411764        
140 1.4 6.83 0.999999996 1 1 0.091411764        
141 1.41 6.78 0.999999994 1 0.99999999 0.091411764        
142 1.42 6.74 0.999999991 1 0.99999999 0.091411764        
143 1.43 6.70 0.999999987 1 0.99999998 0.091411763        
144 1.44 6.66 0.999999981 1 0.99999998 0.091411763        
145 1.45 6.61 0.999999971 1 0.99999996 0.091411761        
146 1.46 6.57 0.999999957 1 0.99999995 0.09141176        
147 1.47 6.53 0.999999937 1 0.99999992 0.091411758        
148 1.48 6.49 0.999999907 1 0.99999989 0.091411754        
149 1.49 6.44 0.999999864 1 0.99999983 0.091411749        
150 1.5 6.40 0.999999802 1 0.99999976 0.091411743        
151 1.51 6.36 0.999999713 1 0.99999965 0.091411733        
152 1.52 6.31 0.999999587 0.999999 0.9999995 0.091411719        
153 1.53 6.27 0.999999406 0.999999 0.99999928 0.091411699        
154 1.54 6.23 0.999999152 0.999999 0.99999897 0.091411671        
155 1.55 6.19 0.999998795 0.999998 0.99999854 0.091411632        
156 1.56 6.14 0.999998295 0.999998 0.99999795 0.091411577        
157 1.57 6.10 0.9999976 0.999997 0.99999712 0.091411501        
158 1.58 6.06 0.999996638 0.999995 0.99999598 0.091411397        
159 1.59 6.02 0.999995313 0.999993 0.9999944 0.091411253        
160 1.6 5.97 0.999993497 0.999991 0.99999226 0.091411057        
161 1.61 5.93 0.999991022 0.999988 0.99998934 0.091410791        
162 1.62 5.89 0.999987664 0.999983 0.9999854 0.09141043        
163 1.63 5.85 0.999983132 0.999977 0.99998009 0.091409945        
164 1.64 5.80 0.999977048 0.999969 0.99997298 0.091409295        
165 1.65 5.76 0.999968918 0.999958 0.99996352 0.09140843        
166 1.66 5.72 0.999958112 0.999944 0.99995097 0.091407282        
167 1.67 5.67 0.99994382 0.999925 0.99993442 0.09140577        
168 1.68 5.63 0.999925013 0.9999 0.9999127 0.091403785        
169 1.69 5.59 0.999900389 0.999868 0.99988435 0.091401193        
170 1.7 5.55 0.999868312 0.999827 0.99984752 0.091397827        
171 1.71 5.50 0.999826736 0.999773 0.99979993 0.091393476        
172 1.72 5.46 0.999773121 0.999704 0.99973873 0.091387881        
173 1.73 5.42 0.99970433 0.999617 0.99966042 0.091380723        
174 1.74 5.38 0.99961651 0.999505 0.99956074 0.091371611        
175 1.75 5.33 0.999504965 0.999364 0.99943448 0.09136007        
176 1.76 5.29 0.999363998 0.999187 0.99927537 0.091345525        
177 1.77 5.25 0.999186747 0.998965 0.99907587 0.091327289        
178 1.78 5.21 0.998964997 0.998689 0.99882699 0.091304537        
179 1.79 5.16 0.998688975 0.998347 0.99851805 0.091276297        
180 1.8 5.12 0.998347131 0.997926 0.99813652 0.09124142        
181 1.81 5.08 0.997925902 0.997409 0.99766769 0.091198564        
182 1.82 5.03 0.99740947 0.99678 0.99709449 0.091146167        
183 1.83 4.99 0.996779512 0.996015 0.99639723 0.091082429        
184 1.84 4.95 0.996014944 0.995092 0.99555331 0.091005285        
185 1.85 4.91 0.995091682 0.993982 0.99453705 0.090912386        
186 1.86 4.86 0.99398241 0.992656 0.99331939 0.090801078        
187 1.87 4.82 0.992656369 0.991079 0.99186778 0.090668384        
188 1.88 4.78 0.991079194 0.989213 0.99014599 0.090510992        
189 1.89 4.74 0.98921278 0.987015 0.988114 0.090325244        
190 1.9 4.69 0.98701522 0.984441 0.98572801 0.090107137        
191 1.91 4.65 0.984440807 0.98144 0.98294046 0.089852322        
192 1.92 4.61 0.981440121 0.97796 0.97970017 0.089556121        
193 1.93 4.57 0.977960213 0.973945 0.97595256 0.089213545        
194 1.94 4.52 0.973944898 0.969335 0.97164003 0.08881933        
195 1.95 4.48 0.969335159 0.96407 0.96670242 0.088367974        
196 1.96 4.44 0.964069681 0.958086 0.96107759 0.087853799        
197 1.97 4.39 0.958085508 0.951319 0.95470217 0.08727101        
198 1.98 4.35 0.951318836 0.943706 0.94751238 0.086613779        
199 1.99 4.31 0.94370592 0.935184 0.93944502 0.085876327        
200 2 4.27 0.935184114 0.925693 0.93043856 0.085053031        
201 2.01 4.22 0.925693002 0.915176 0.92043431 0.084138525        
202 2.02 4.18 0.915175628 0.90358 0.90937771 0.083127821        
203 2.03 4.14 0.903579785 0.890859 0.89721956 0.082016424        
204 2.04 4.10 0.890859345 0.876976 0.88391747 0.080800456        
205 2.05 4.05 0.876975597 0.861899 0.86943708 0.079476777        
206 2.06 4.01 0.861898557 0.845608 0.85375338 0.078043104        
207 2.07 3.97 0.845608212 0.828096 0.83685194 0.076498113        
208 2.08 3.93 0.828095669 0.809364 0.81872991 0.074841546        
209 2.09 3.88 0.809364152 0.78943 0.79939699 0.07307429        
210 2.1 3.84 0.789429829 0.768322 0.77887613 0.071198441        
211 2.11 3.80 0.768322425 0.746086 0.75720401 0.069217355        
212 2.12 3.75 0.746085593 0.722777 0.7344313 0.067135661        
213 2.13 3.71 0.722777012 0.698468 0.71062261 0.064959267        
214 2.14 3.67 0.698468212 0.673244 0.68585615 0.062695321        
215 2.15 3.63 0.673244094 0.647202 0.66022313 0.060352161        
216 2.16 3.58 0.647202158 0.620451 0.6338268 0.057939227        
217 2.17 3.54 0.620451448 0.593111 0.60678133 0.055466952        
218 2.18 3.50 0.593111218 0.565309 0.57921029 0.052946635        
219 2.19 3.46 0.565309361 0.537181 0.55124499 0.050390278        
220 2.2 3.41 0.537180624 0.508865 0.52302264 0.047810422        
221 2.21 3.37 0.508864654 0.480504 0.49468429 0.045219964        
222 2.22 3.33 0.480503922 0.452242 0.46637275 0.042631956        
223 2.23 3.29 0.452241574 0.424219 0.43823042 0.040059416        
224 2.24 3.24 0.424219271 0.396575 0.41039717 0.037515129        
225 2.25 3.20 0.396575061 0.369441 0.3830082 0.035011456        
226 2.26 3.16 0.36944134 0.342943 0.35619215 0.032560153        
227 2.27 3.11 0.342942962 0.317196 0.33006924 0.030172212        
228 2.28 3.07 0.317195523 0.292304 0.3047497 0.027857708        
229 2.29 3.03 0.292303879 0.268361 0.2803324 0.025625679        
230 2.3 2.99 0.268360917 0.245447 0.25690376 0.023484026        
231 2.31 2.94 0.245446596 0.223627 0.23453694 0.021439436        
232 2.32 2.90 0.223627292 0.202955 0.21329136 0.01949734        
233 2.33 2.86 0.202955432 0.183469 0.19321242 0.017661889        
234 2.34 2.82 0.183469416 0.165194 0.17433162 0.015935961        
235 2.35 2.77 0.16519383 0.14814 0.15666687 0.014321195        
236 2.36 2.73 0.148139905 0.132306 0.14022306 0.012818037        
237 2.37 2.69 0.132306213 0.11768 0.12499289 0.011425821        
238 2.38 2.65 0.117679564 0.104236 0.11095782 0.01014285        
239 2.39 2.60 0.104236067 0.091942 0.09808919 0.008966506        
240 2.4 2.56 0.091942315 0.080757 0.08634949 0.007893359        
241 2.41 2.52 0.080756659 0.070631 0.0756936 0.006919285        
242 2.42 2.47 0.070630535 0.06151 0.06607017 0.006039591        
243 2.43 2.43 0.061509801 0.053336 0.05742293 0.005249131        
244 2.44 2.39 0.053336054 0.046048 0.04969198 0.004542431        
245 2.45 2.35 0.046047904 0.039582 0.04281503 0.003913798        
246 2.46 2.30 0.039582163 0.033875 0.03672856 0.003357422        
247 2.47 2.26 0.033874952 0.028863 0.03136882 0.002867479        
248 2.48 2.22 0.028862681 0.024483 0.0266728 0.002438208        
249 2.49 2.18 0.024482926 0.020675 0.02257904 0.00206399        
250 2.5 2.13 0.020675163 0.017381 0.01902827 0.001739408        
251 2.51 2.09 0.017381381 0.014547 0.01596397 0.001459295        
252 2.52 2.05 0.014546568 0.012119 0.01333282 0.001218777        
253 2.53 2.01 0.01211907 0.010051 0.01108496 0.001013295        
254 2.54 1.96 0.010050843 0.008298 0.00917422 0.000838632        
255 2.55 1.92 0.0082976 0.006819 0.00755823 0.000690911        
256 2.56 1.88 0.006818862 0.005578 0.0061984 0.000566607        
257 2.57 1.83 0.00557794 0.004542 0.00505989 0.000462533        
258 2.58 1.79 0.004541837 0.003681 0.00411147 0.000375837        
259 2.59 1.75 0.003681108 0.00297 0.00332539 0.00030398        
260 2.6 1.71 0.002969675 0.002385 0.00267714 0.000244722        
261 2.61 1.66 0.002384606 0.001906 0.00214524 0.000196101        
262 2.62 1.62 0.001905883 0.001516 0.00171102 0.000156407        
263 2.63 1.58 0.00151615 0.0012 0.00135831 0.000124165        
264 2.64 1.54 0.001200465 0.000946 0.00107326 9.81083E-05        
265 2.65 1.49 0.000946048 0.000742 0.00084405 7.71557E-05        
266 2.66 1.45 0.000742042 0.000579 0.00066066 6.03924E-05        
267 2.67 1.41 0.000579284 0.00045 0.00051469 4.70483E-05        
268 2.68 1.37 0.000450087 0.000348 0.00039907 3.64795E-05        
269 2.69 1.32 0.000348049 0.000268 0.00030796 2.8151E-05        
270 2.7 1.28 0.000267867 0.000205 0.00023652 2.16209E-05        
271 2.71 1.24 0.000205177 0.000156 0.00018079 1.65267E-05        
272 2.72 1.19 0.000156411 0.000119 0.00013754 1.25726E-05        
273 2.73 1.15 0.000118666 8.96E-05 0.00010413 9.51899E-06        
274 2.74 1.11 8.96E-05 6.73E-05 7.8465E-05 7.1726E-06        
275 2.75 1.07 6.73296E-05 5.04E-05 5.8841E-05 5.37874E-06        
276 2.76 1.02 5.03521E-05 3.75E-05 4.3913E-05 4.01421E-06        
277 2.77 0.98 3.74749E-05 2.78E-05 3.2616E-05 2.98148E-06        
278 2.78 0.94 2.77569E-05 2.05E-05 2.4108E-05 2.2038E-06        
279 2.79 0.90 2.046E-05 1.5E-05 1.7734E-05 1.62113E-06        
280 2.8 0.85 1.50088E-05 1.1E-05 1.2983E-05 1.18678E-06        
281 2.81 0.81 1.09568E-05 7.96E-06 9.4584E-06 8.64613E-07        
282 2.82 0.77 7.9601E-06 5.76E-06 6.8576E-06 6.26863E-07        
283 2.83 0.73 5.75505E-06 4.14E-06 4.9479E-06 4.52293E-07        
284 2.84 0.68 4.14068E-06 2.96E-06 3.5527E-06 3.24759E-07        
285 2.85 0.64 2.96473E-06 2.11E-06 2.5386E-06 2.32057E-07        
286 2.86 0.60 2.11245E-06 1.5E-06 1.8052E-06 1.65013E-07        
287 2.87 0.55 1.49787E-06 1.06E-06 1.2774E-06 1.1677E-07        
288 2.88 0.51 1.05693E-06 7.42E-07 8.9955E-07 8.22295E-08        
289 2.89 0.47 7.42167E-07 5.19E-07 6.3039E-07 5.76247E-08        
290 2.9 0.43 5.18604E-07 3.61E-07 4.3961E-07 4.01857E-08        
291 2.91 0.38 3.6062E-07 2.5E-07 3.0508E-07 2.78879E-08        
292 2.92 0.34 2.49539E-07 1.72E-07 2.1069E-07 1.92591E-08        
293 2.93 0.30 1.71832E-07 1.18E-07 1.4479E-07 1.32354E-08        
294 2.94 0.26 1.17745E-07 8.03E-08 9.9017E-08 9.05128E-09        
295 2.95 0.21 8.02883E-08 5.45E-08 6.7384E-08 6.15968E-09        
296 2.96 0.17 5.44794E-08 3.68E-08 4.5633E-08 4.17136E-09        
297 2.97 0.13 3.67859E-08 2.47E-08 3.0752E-08 2.81105E-09        
298 2.98 0.09 2.47171E-08 1.65E-08 2.0622E-08 1.88508E-09        
299 2.99 0.04 1.65265E-08 1.1E-08 1.3761E-08 1.25793E-09        
300 3 0.00 1.09958E-08 7.28E-09 9.138E-09 8.35318E-10        
        SUM   20.13915441        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 29.40 vph   K=   8.647058824 vpm      
MU 3.40 mph   N=   26 veh      
SIGMA 0.60 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 19.05   PER HOUR= 81.28
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 4.36     2
        DETERMINISTIC (FOR MU <<<< U)= 19.05      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 1.00000000 1 1 0.086470588        
2 0.02 12.71 1.00000000 1 1 0.086470588        
3 0.03 12.67 1.00000000 1 1 0.086470588        
4 0.04 12.63 1.00000000 1 1 0.086470588        
5 0.05 12.59 1.00000000 1 1 0.086470588        
6 0.06 12.54 1.00000000 1 1 0.086470588        
7 0.07 12.50 1.00000000 1 1 0.086470588        
8 0.08 12.46 1.00000000 1 1 0.086470588        
9 0.09 12.42 1.00000000 1 1 0.086470588        
10 0.10 12.37 1.00000000 1 1 0.086470588        
11 0.11 12.33 1.00000000 1 1 0.086470588        
12 0.12 12.29 1.00000000 1 1 0.086470588        
13 0.13 12.25 1.00000000 1 1 0.086470588        
14 0.14 12.20 1.00000000 1 1 0.086470588        
15 0.15 12.16 1.00000000 1 1 0.086470588        
16 0.16 12.12 1.00000000 1 1 0.086470588        
17 0.17 12.07 1.00000000 1 1 0.086470588        
18 0.18 12.03 1.00000000 1 1 0.086470588        
19 0.19 11.99 1.00000000 1 1 0.086470588        
20 0.20 11.95 1.00000000 1 1 0.086470588        
21 0.21 11.90 1.00000000 1 1 0.086470588        
22 0.22 11.86 1.00000000 1 1 0.086470588        
23 0.23 11.82 1.00000000 1 1 0.086470588        
24 0.24 11.78 1.00000000 1 1 0.086470588        
25 0.25 11.73 1.00000000 1 1 0.086470588        
26 0.26 11.69 1.00000000 1 1 0.086470588        
27 0.27 11.65 1.00000000 1 1 0.086470588        
28 0.28 11.61 1.00000000 1 1 0.086470588        
29 0.29 11.56 1.00000000 1 1 0.086470588        
30 0.30 11.52 1.00000000 1 1 0.086470588        
31 0.31 11.48 1.00000000 1 1 0.086470588        
32 0.32 11.43 1.00000000 1 1 0.086470588        
33 0.33 11.39 1.00000000 1 1 0.086470588        
34 0.34 11.35 1.00000000 1 1 0.086470588        
35 0.35 11.31 1.00000000 1 1 0.086470588        
36 0.36 11.26 1.00000000 1 1 0.086470588        
37 0.37 11.22 1.00000000 1 1 0.086470588        
38 0.38 11.18 1.00000000 1 1 0.086470588        
39 0.39 11.14 1.00000000 1 1 0.086470588        
40 0.40 11.09 1.00000000 1 1 0.086470588        
41 0.41 11.05 1.00000000 1 1 0.086470588        
42 0.42 11.01 1.00000000 1 1 0.086470588        
43 0.43 10.97 1.00000000 1 1 0.086470588        
44 0.44 10.92 1.00000000 1 1 0.086470588        
45 0.45 10.88 1.00000000 1 1 0.086470588        
46 0.46 10.84 1.00000000 1 1 0.086470588        
47 0.47 10.79 1.00000000 1 1 0.086470588        
48 0.48 10.75 1.00000000 1 1 0.086470588        
49 0.49 10.71 1.00000000 1 1 0.086470588        
50 0.50 10.67 1.00000000 1 1 0.086470588        
51 0.51 10.62 1.00000000 1 1 0.086470588        
52 0.52 10.58 1.00000000 1 1 0.086470588        
53 0.53 10.54 1.00000000 1 1 0.086470588        
54 0.54 10.50 1.00000000 1 1 0.086470588        
55 0.55 10.45 1.00000000 1 1 0.086470588        
56 0.56 10.41 1.00000000 1 1 0.086470588        
57 0.57 10.37 1.00000000 1 1 0.086470588        
58 0.58 10.33 1.00000000 1 1 0.086470588        
59 0.59 10.28 1.00000000 1 1 0.086470588        
60 0.60 10.24 1.00000000 1 1 0.086470588        
61 0.61 10.20 1.00000000 1 1 0.086470588        
62 0.62 10.15 1.00000000 1 1 0.086470588        
63 0.63 10.11 1.00000000 1 1 0.086470588        
64 0.64 10.07 1.00000000 1 1 0.086470588        
65 0.65 10.03 1.00000000 1 1 0.086470588        
66 0.66 9.98 1.00000000 1 1 0.086470588        
67 0.67 9.94 1.00000000 1 1 0.086470588        
68 0.68 9.90 1.00000000 1 1 0.086470588        
69 0.69 9.86 1.00000000 1 1 0.086470588        
70 0.70 9.81 1.00000000 1 1 0.086470588        
71 0.71 9.77 1.00000000 1 1 0.086470588        
72 0.72 9.73 1.00000000 1 1 0.086470588        
73 0.73 9.69 1.00000000 1 1 0.086470588        
74 0.74 9.64 1.00000000 1 1 0.086470588        
75 0.75 9.60 1.00000000 1 1 0.086470588        
76 0.76 9.56 1.00000000 1 1 0.086470588        
77 0.77 9.51 1.00000000 1 1 0.086470588        
78 0.78 9.47 1.00000000 1 1 0.086470588        
79 0.79 9.43 1.00000000 1 1 0.086470588        
80 0.80 9.39 1.00000000 1 1 0.086470588        
81 0.81 9.34 1.00000000 1 1 0.086470588        
82 0.82 9.30 1.00000000 1 1 0.086470588        
83 0.83 9.26 1.00000000 1 1 0.086470588        
84 0.84 9.22 1.00000000 1 1 0.086470588        
85 0.85 9.17 1.00000000 1 1 0.086470588        
86 0.86 9.13 1.00000000 1 1 0.086470588        
87 0.87 9.09 1.00000000 1 1 0.086470588        
88 0.88 9.05 1.00000000 1 1 0.086470588        
89 0.89 9.00 1.00000000 1 1 0.086470588        
90 0.90 8.96 1.00000000 1 1 0.086470588        
91 0.91 8.92 1.00000000 1 1 0.086470588        
92 0.92 8.87 1.00000000 1 1 0.086470588        
93 0.93 8.83 1.00000000 1 1 0.086470588        
94 0.94 8.79 1.00000000 1 1 0.086470588        
95 0.95 8.75 1.00000000 1 1 0.086470588        
96 0.96 8.70 1.00000000 1 1 0.086470588        
97 0.97 8.66 1.00000000 1 1 0.086470588        
98 0.98 8.62 1.00000000 1 1 0.086470588        
99 0.99 8.58 1.00000000 1 1 0.086470588        
100 1.00 8.53 1.00000000 1 1 0.086470588        
101 1.01 8.49 1.00000000 1 1 0.086470588        
102 1.02 8.45 1.00000000 1 1 0.086470588        
103 1.03 8.41 1.00000000 1 1 0.086470588        
104 1.04 8.36 1.00000000 1 1 0.086470588        
105 1.05 8.32 1.00000000 1 1 0.086470588        
106 1.06 8.28 1.00000000 1 1 0.086470588        
107 1.07 8.23 1.00000000 1 1 0.086470588        
108 1.08 8.19 1.00000000 1 1 0.086470588        
109 1.09 8.15 1.00000000 1 1 0.086470588        
110 1.10 8.11 1.00000000 1 1 0.086470588        
111 1.11 8.06 1.00000000 1 1 0.086470588        
112 1.12 8.02 1.00000000 1 1 0.086470588        
113 1.13 7.98 1.00000000 1 1 0.086470588        
114 1.14 7.94 1.00000000 1 1 0.086470588        
115 1.15 7.89 1.00000000 1 1 0.086470588        
116 1.16 7.85 1.00000000 1 1 0.086470588        
117 1.17 7.81 1.00000000 1 1 0.086470588        
118 1.18 7.77 1.00000000 1 1 0.086470588        
119 1.19 7.72 1.00000000 1 1 0.086470588        
120 1.20 7.68 1.00000000 1 1 0.086470588        
121 1.21 7.64 1.00000000 1 1 0.086470588        
122 1.22 7.59 1.00000000 1 1 0.086470588        
123 1.23 7.55 1.00000000 1 1 0.086470588        
124 1.24 7.51 1.00000000 1 1 0.086470588        
125 1.25 7.47 1.00000000 1 1 0.086470588        
126 1.26 7.42 1.00000000 1 1 0.086470588        
127 1.27 7.38 1.00000000 1 1 0.086470588        
128 1.28 7.34 1.00000000 1 1 0.086470588        
129 1.29 7.30 1.00000000 1 1 0.086470588        
130 1.30 7.25 1.00000000 1 1 0.086470588        
131 1.31 7.21 1.00000000 1 1 0.086470588        
132 1.32 7.17 1.00000000 1 1 0.086470588        
133 1.33 7.13 1.00000000 1 1 0.086470588        
134 1.34 7.08 1.00000000 1 1 0.086470588        
135 1.35 7.04 1.00000000 1 1 0.086470588        
136 1.36 7.00 1.00000000 1 1 0.086470588        
137 1.37 6.95 1.00000000 1 1 0.086470588        
138 1.38 6.91 1.00000000 1 1 0.086470588        
139 1.39 6.87 1.00000000 1 1 0.086470588        
140 1.40 6.83 1.00000000 1 1 0.086470588        
141 1.41 6.78 0.99999999 1 0.99999999 0.086470588        
142 1.42 6.74 0.99999999 1 0.99999999 0.086470587        
143 1.43 6.70 0.99999999 1 0.99999998 0.086470587        
144 1.44 6.66 0.99999998 1 0.99999998 0.086470586        
145 1.45 6.61 0.99999997 1 0.99999996 0.086470585        
146 1.46 6.57 0.99999996 1 0.99999995 0.086470584        
147 1.47 6.53 0.99999994 1 0.99999992 0.086470582        
148 1.48 6.49 0.99999991 1 0.99999989 0.086470578        
149 1.49 6.44 0.99999986 1 0.99999983 0.086470574        
150 1.50 6.40 0.99999980 1 0.99999976 0.086470567        
151 1.51 6.36 0.99999971 1 0.99999965 0.086470558        
152 1.52 6.31 0.99999959 0.999999 0.9999995 0.086470545        
153 1.53 6.27 0.99999941 0.999999 0.99999928 0.086470526        
154 1.54 6.23 0.99999915 0.999999 0.99999897 0.086470499        
155 1.55 6.19 0.99999879 0.999998 0.99999854 0.086470462        
156 1.56 6.14 0.99999830 0.999998 0.99999795 0.086470411        
157 1.57 6.10 0.99999760 0.999997 0.99999712 0.086470339        
158 1.58 6.06 0.99999664 0.999995 0.99999598 0.08647024        
159 1.59 6.02 0.99999531 0.999993 0.9999944 0.086470104        
160 1.60 5.97 0.99999350 0.999991 0.99999226 0.086469919        
161 1.61 5.93 0.99999102 0.999988 0.99998934 0.086469667        
162 1.62 5.89 0.99998766 0.999983 0.9999854 0.086469326        
163 1.63 5.85 0.99998313 0.999977 0.99998009 0.086468867        
164 1.64 5.80 0.99997705 0.999969 0.99997298 0.086468252        
165 1.65 5.76 0.99996892 0.999958 0.99996352 0.086467433        
166 1.66 5.72 0.99995811 0.999944 0.99995097 0.086466348        
167 1.67 5.67 0.99994382 0.999925 0.99993442 0.086464917        
168 1.68 5.63 0.99992501 0.9999 0.9999127 0.086463039        
169 1.69 5.59 0.99990039 0.999868 0.99988435 0.086460588        
170 1.70 5.55 0.99986831 0.999827 0.99984752 0.086457404        
171 1.71 5.50 0.99982674 0.999773 0.99979993 0.086453288        
172 1.72 5.46 0.99977312 0.999704 0.99973873 0.086447996        
173 1.73 5.42 0.99970433 0.999617 0.99966042 0.086441225        
174 1.74 5.38 0.99961651 0.999505 0.99956074 0.086432605        
175 1.75 5.33 0.99950496 0.999364 0.99943448 0.086421688        
176 1.76 5.29 0.99936400 0.999187 0.99927537 0.086407929        
177 1.77 5.25 0.99918675 0.998965 0.99907587 0.086390678        
178 1.78 5.21 0.99896500 0.998689 0.99882699 0.086369157        
179 1.79 5.16 0.99868898 0.998347 0.99851805 0.086342443        
180 1.80 5.12 0.99834713 0.997926 0.99813652 0.086309452        
181 1.81 5.08 0.99792590 0.997409 0.99766769 0.086268912        
182 1.82 5.03 0.99740947 0.99678 0.99709449 0.086219347        
183 1.83 4.99 0.99677951 0.996015 0.99639723 0.086159054        
184 1.84 4.95 0.99601494 0.995092 0.99555331 0.086086081        
185 1.85 4.91 0.99509168 0.993982 0.99453705 0.085998203        
186 1.86 4.86 0.99398241 0.992656 0.99331939 0.085892912        
187 1.87 4.82 0.99265637 0.991079 0.99186778 0.085767391        
188 1.88 4.78 0.99107919 0.989213 0.99014599 0.085618506        
189 1.89 4.74 0.98921278 0.987015 0.988114 0.085442799        
190 1.90 4.69 0.98701522 0.984441 0.98572801 0.085236481        
191 1.91 4.65 0.98444081 0.98144 0.98294046 0.08499544        
192 1.92 4.61 0.98144012 0.97796 0.97970017 0.08471525        
193 1.93 4.57 0.97796021 0.973945 0.97595256 0.084391192        
194 1.94 4.52 0.97394490 0.969335 0.97164003 0.084018285        
195 1.95 4.48 0.96933516 0.96407 0.96670242 0.083591327        
196 1.96 4.44 0.96406968 0.958086 0.96107759 0.083104945        
197 1.97 4.39 0.95808551 0.951319 0.95470217 0.082553658        
198 1.98 4.35 0.95131884 0.943706 0.94751238 0.081931953        
199 1.99 4.31 0.94370592 0.935184 0.93944502 0.081234363        
200 2.00 4.27 0.93518411 0.925693 0.93043856 0.080455569        
201 2.01 4.22 0.92569300 0.915176 0.92043431 0.079590497        
202 2.02 4.18 0.91517563 0.90358 0.90937771 0.078634425        
203 2.03 4.14 0.90357978 0.890859 0.89721956 0.077583104        
204 2.04 4.10 0.89085934 0.876976 0.88391747 0.076432864        
205 2.05 4.05 0.87697560 0.861899 0.86943708 0.075180735        
206 2.06 4.01 0.86189856 0.845608 0.85375338 0.073824557        
207 2.07 3.97 0.84560821 0.828096 0.83685194 0.07236308        
208 2.08 3.93 0.82809567 0.809364 0.81872991 0.070796057        
209 2.09 3.88 0.80936415 0.78943 0.79939699 0.069124328        
210 2.10 3.84 0.78942983 0.768322 0.77887613 0.067349877        
211 2.11 3.80 0.76832243 0.746086 0.75720401 0.065475876        
212 2.12 3.75 0.74608559 0.722777 0.7344313 0.063506707        
213 2.13 3.71 0.72277701 0.698468 0.71062261 0.061447955        
214 2.14 3.67 0.69846821 0.673244 0.68585615 0.059306385        
215 2.15 3.63 0.67324409 0.647202 0.66022313 0.057089882        
216 2.16 3.58 0.64720216 0.620451 0.6338268 0.054807377        
217 2.17 3.54 0.62045145 0.593111 0.60678133 0.052468739        
218 2.18 3.50 0.59311122 0.565309 0.57921029 0.050084654        
219 2.19 3.46 0.56530936 0.537181 0.55124499 0.047666479        
220 2.20 3.41 0.53718062 0.508865 0.52302264 0.045226075        
221 2.21 3.37 0.50886465 0.480504 0.49468429 0.042775641        
222 2.22 3.33 0.48050392 0.452242 0.46637275 0.040327526        
223 2.23 3.29 0.45224157 0.424219 0.43823042 0.037894042        
224 2.24 3.24 0.42421927 0.396575 0.41039717 0.035487284        
225 2.25 3.20 0.39657506 0.369441 0.3830082 0.033118944        
226 2.26 3.16 0.36944134 0.342943 0.35619215 0.030800145        
227 2.27 3.11 0.34294296 0.317196 0.33006924 0.028541282        
228 2.28 3.07 0.31719552 0.292304 0.3047497 0.026351886        
229 2.29 3.03 0.29230388 0.268361 0.2803324 0.024240507        
230 2.30 2.99 0.26836092 0.245447 0.25690376 0.022214619        
231 2.31 2.94 0.24544660 0.223627 0.23453694 0.020280548        
232 2.32 2.90 0.22362729 0.202955 0.21329136 0.01844343        
233 2.33 2.86 0.20295543 0.183469 0.19321242 0.016707192        
234 2.34 2.82 0.18346942 0.165194 0.17433162 0.015074558        
235 2.35 2.77 0.16519383 0.14814 0.15666687 0.013547076        
236 2.36 2.73 0.14813990 0.132306 0.14022306 0.01212517        
237 2.37 2.69 0.13230621 0.11768 0.12499289 0.010808209        
238 2.38 2.65 0.11767956 0.104236 0.11095782 0.009594588        
239 2.39 2.60 0.10423607 0.091942 0.09808919 0.00848183        
240 2.40 2.56 0.09194232 0.080757 0.08634949 0.007466691        
241 2.41 2.52 0.08075666 0.070631 0.0756936 0.00654527        
242 2.42 2.47 0.07063054 0.06151 0.06607017 0.005713126        
243 2.43 2.43 0.06150980 0.053336 0.05742293 0.004965394        
244 2.44 2.39 0.05333605 0.046048 0.04969198 0.004296895        
245 2.45 2.35 0.04604790 0.039582 0.04281503 0.003702241        
246 2.46 2.30 0.03958216 0.033875 0.03672856 0.00317594        
247 2.47 2.26 0.03387495 0.028863 0.03136882 0.00271248        
248 2.48 2.22 0.02886268 0.024483 0.0266728 0.002306413        
249 2.49 2.18 0.02448293 0.020675 0.02257904 0.001952423        
250 2.50 2.13 0.02067516 0.017381 0.01902827 0.001645386        
251 2.51 2.09 0.01738138 0.014547 0.01596397 0.001380414        
252 2.52 2.05 0.01454657 0.012119 0.01333282 0.001152897        
253 2.53 2.01 0.01211907 0.010051 0.01108496 0.000958523        
254 2.54 1.96 0.01005084 0.008298 0.00917422 0.0007933        
255 2.55 1.92 0.00829760 0.006819 0.00755823 0.000653565        
256 2.56 1.88 0.00681886 0.005578 0.0061984 0.000535979        
257 2.57 1.83 0.00557794 0.004542 0.00505989 0.000437532        
258 2.58 1.79 0.00454184 0.003681 0.00411147 0.000355521        
259 2.59 1.75 0.00368111 0.00297 0.00332539 0.000287549        
260 2.60 1.71 0.00296967 0.002385 0.00267714 0.000231494        
261 2.61 1.66 0.00238461 0.001906 0.00214524 0.000185501        
262 2.62 1.62 0.00190588 0.001516 0.00171102 0.000147953        
263 2.63 1.58 0.00151615 0.0012 0.00135831 0.000117454        
264 2.64 1.54 0.00120046 0.000946 0.00107326 9.28051E-05        
265 2.65 1.49 0.00094605 0.000742 0.00084405 7.29851E-05        
266 2.66 1.45 0.00074204 0.000579 0.00066066 5.71279E-05        
267 2.67 1.41 0.00057928 0.00045 0.00051469 4.45052E-05        
268 2.68 1.37 0.00045009 0.000348 0.00039907 3.45077E-05        
269 2.69 1.32 0.00034805 0.000268 0.00030796 2.66293E-05        
270 2.70 1.28 0.00026787 0.000205 0.00023652 2.04522E-05        
271 2.71 1.24 0.00020518 0.000156 0.00018079 1.56334E-05        
272 2.72 1.19 0.00015641 0.000119 0.00013754 1.1893E-05        
273 2.73 1.15 0.00011867 8.96E-05 0.00010413 9.00445E-06        
274 2.74 1.11 0.00008960 6.73E-05 7.8465E-05 6.7849E-06        
275 2.75 1.07 0.00006733 5.04E-05 5.8841E-05 5.088E-06        
276 2.76 1.02 0.00005035 3.75E-05 4.3913E-05 3.79723E-06        
277 2.77 0.98 0.00003747 2.78E-05 3.2616E-05 2.82032E-06        
278 2.78 0.94 0.00002776 2.05E-05 2.4108E-05 2.08467E-06        
279 2.79 0.90 0.00002046 1.5E-05 1.7734E-05 1.5335E-06        
280 2.80 0.85 0.00001501 1.1E-05 1.2983E-05 1.12263E-06        
281 2.81 0.81 0.00001096 7.96E-06 9.4584E-06 8.17877E-07        
282 2.82 0.77 0.00000796 5.76E-06 6.8576E-06 5.92979E-07        
283 2.83 0.73 0.00000576 4.14E-06 4.9479E-06 4.27845E-07        
284 2.84 0.68 0.00000414 2.96E-06 3.5527E-06 3.07205E-07        
285 2.85 0.64 0.00000296 2.11E-06 2.5386E-06 2.19514E-07        
286 2.86 0.60 0.00000211 1.5E-06 1.8052E-06 1.56094E-07        
287 2.87 0.55 0.00000150 1.06E-06 1.2774E-06 1.10458E-07        
288 2.88 0.51 0.00000106 7.42E-07 8.9955E-07 7.77846E-08        
289 2.89 0.47 0.00000074 5.19E-07 6.3039E-07 5.45098E-08        
290 2.90 0.43 0.00000052 3.61E-07 4.3961E-07 3.80135E-08        
291 2.91 0.38 0.00000036 2.5E-07 3.0508E-07 2.63804E-08        
292 2.92 0.34 0.00000025 1.72E-07 2.1069E-07 1.82181E-08        
293 2.93 0.30 0.00000017 1.18E-07 1.4479E-07 1.25199E-08        
294 2.94 0.26 0.00000012 8.03E-08 9.9017E-08 8.56202E-09        
295 2.95 0.21 0.00000008 5.45E-08 6.7384E-08 5.82672E-09        
296 2.96 0.17 0.00000005 3.68E-08 4.5633E-08 3.94588E-09        
297 2.97 0.13 0.00000004 2.47E-08 3.0752E-08 2.6591E-09        
298 2.98 0.09 0.00000002 1.65E-08 2.0622E-08 1.78318E-09        
299 2.99 0.04 0.00000002 1.1E-08 1.3761E-08 1.18994E-09        
300 3.00 0.00 0.00000001 7.28E-09 9.138E-09 7.90165E-10        
        SUM   19.05055147        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 200.00 vph   K=   58.82352941 vpm      
MU 3.40 mph   N=   176 veh      
SIGMA 0.60 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 129.60   PER HOUR= 552.94
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 11.38     3
        DETERMINISTIC (FOR MU <<<< U)= 129.60      
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 1.00000000 1 1 0.588235294        
2 0.02 12.71 1.00000000 1 1 0.588235294        
3 0.03 12.67 1.00000000 1 1 0.588235294        
4 0.04 12.63 1.00000000 1 1 0.588235294        
5 0.05 12.59 1.00000000 1 1 0.588235294        
6 0.06 12.54 1.00000000 1 1 0.588235294        
7 0.07 12.50 1.00000000 1 1 0.588235294        
8 0.08 12.46 1.00000000 1 1 0.588235294        
9 0.09 12.42 1.00000000 1 1 0.588235294        
10 0.10 12.37 1.00000000 1 1 0.588235294        
11 0.11 12.33 1.00000000 1 1 0.588235294        
12 0.12 12.29 1.00000000 1 1 0.588235294        
13 0.13 12.25 1.00000000 1 1 0.588235294        
14 0.14 12.20 1.00000000 1 1 0.588235294        
15 0.15 12.16 1.00000000 1 1 0.588235294        
16 0.16 12.12 1.00000000 1 1 0.588235294        
17 0.17 12.07 1.00000000 1 1 0.588235294        
18 0.18 12.03 1.00000000 1 1 0.588235294        
19 0.19 11.99 1.00000000 1 1 0.588235294        
20 0.20 11.95 1.00000000 1 1 0.588235294        
21 0.21 11.90 1.00000000 1 1 0.588235294        
22 0.22 11.86 1.00000000 1 1 0.588235294        
23 0.23 11.82 1.00000000 1 1 0.588235294        
24 0.24 11.78 1.00000000 1 1 0.588235294        
25 0.25 11.73 1.00000000 1 1 0.588235294        
26 0.26 11.69 1.00000000 1 1 0.588235294        
27 0.27 11.65 1.00000000 1 1 0.588235294        
28 0.28 11.61 1.00000000 1 1 0.588235294        
29 0.29 11.56 1.00000000 1 1 0.588235294        
30 0.30 11.52 1.00000000 1 1 0.588235294        
31 0.31 11.48 1.00000000 1 1 0.588235294        
32 0.32 11.43 1.00000000 1 1 0.588235294        
33 0.33 11.39 1.00000000 1 1 0.588235294        
34 0.34 11.35 1.00000000 1 1 0.588235294        
35 0.35 11.31 1.00000000 1 1 0.588235294        
36 0.36 11.26 1.00000000 1 1 0.588235294        
37 0.37 11.22 1.00000000 1 1 0.588235294        
38 0.38 11.18 1.00000000 1 1 0.588235294        
39 0.39 11.14 1.00000000 1 1 0.588235294        
40 0.40 11.09 1.00000000 1 1 0.588235294        
41 0.41 11.05 1.00000000 1 1 0.588235294        
42 0.42 11.01 1.00000000 1 1 0.588235294        
43 0.43 10.97 1.00000000 1 1 0.588235294        
44 0.44 10.92 1.00000000 1 1 0.588235294        
45 0.45 10.88 1.00000000 1 1 0.588235294        
46 0.46 10.84 1.00000000 1 1 0.588235294        
47 0.47 10.79 1.00000000 1 1 0.588235294        
48 0.48 10.75 1.00000000 1 1 0.588235294        
49 0.49 10.71 1.00000000 1 1 0.588235294        
50 0.50 10.67 1.00000000 1 1 0.588235294        
51 0.51 10.62 1.00000000 1 1 0.588235294        
52 0.52 10.58 1.00000000 1 1 0.588235294        
53 0.53 10.54 1.00000000 1 1 0.588235294        
54 0.54 10.50 1.00000000 1 1 0.588235294        
55 0.55 10.45 1.00000000 1 1 0.588235294        
56 0.56 10.41 1.00000000 1 1 0.588235294        
57 0.57 10.37 1.00000000 1 1 0.588235294        
58 0.58 10.33 1.00000000 1 1 0.588235294        
59 0.59 10.28 1.00000000 1 1 0.588235294        
60 0.60 10.24 1.00000000 1 1 0.588235294        
61 0.61 10.20 1.00000000 1 1 0.588235294        
62 0.62 10.15 1.00000000 1 1 0.588235294        
63 0.63 10.11 1.00000000 1 1 0.588235294        
64 0.64 10.07 1.00000000 1 1 0.588235294        
65 0.65 10.03 1.00000000 1 1 0.588235294        
66 0.66 9.98 1.00000000 1 1 0.588235294        
67 0.67 9.94 1.00000000 1 1 0.588235294        
68 0.68 9.90 1.00000000 1 1 0.588235294        
69 0.69 9.86 1.00000000 1 1 0.588235294        
70 0.70 9.81 1.00000000 1 1 0.588235294        
71 0.71 9.77 1.00000000 1 1 0.588235294        
72 0.72 9.73 1.00000000 1 1 0.588235294        
73 0.73 9.69 1.00000000 1 1 0.588235294        
74 0.74 9.64 1.00000000 1 1 0.588235294        
75 0.75 9.60 1.00000000 1 1 0.588235294        
76 0.76 9.56 1.00000000 1 1 0.588235294        
77 0.77 9.51 1.00000000 1 1 0.588235294        
78 0.78 9.47 1.00000000 1 1 0.588235294        
79 0.79 9.43 1.00000000 1 1 0.588235294        
80 0.80 9.39 1.00000000 1 1 0.588235294        
81 0.81 9.34 1.00000000 1 1 0.588235294        
82 0.82 9.30 1.00000000 1 1 0.588235294        
83 0.83 9.26 1.00000000 1 1 0.588235294        
84 0.84 9.22 1.00000000 1 1 0.588235294        
85 0.85 9.17 1.00000000 1 1 0.588235294        
86 0.86 9.13 1.00000000 1 1 0.588235294        
87 0.87 9.09 1.00000000 1 1 0.588235294        
88 0.88 9.05 1.00000000 1 1 0.588235294        
89 0.89 9.00 1.00000000 1 1 0.588235294        
90 0.90 8.96 1.00000000 1 1 0.588235294        
91 0.91 8.92 1.00000000 1 1 0.588235294        
92 0.92 8.87 1.00000000 1 1 0.588235294        
93 0.93 8.83 1.00000000 1 1 0.588235294        
94 0.94 8.79 1.00000000 1 1 0.588235294        
95 0.95 8.75 1.00000000 1 1 0.588235294        
96 0.96 8.70 1.00000000 1 1 0.588235294        
97 0.97 8.66 1.00000000 1 1 0.588235294        
98 0.98 8.62 1.00000000 1 1 0.588235294        
99 0.99 8.58 1.00000000 1 1 0.588235294        
100 1.00 8.53 1.00000000 1 1 0.588235294        
101 1.01 8.49 1.00000000 1 1 0.588235294        
102 1.02 8.45 1.00000000 1 1 0.588235294        
103 1.03 8.41 1.00000000 1 1 0.588235294        
104 1.04 8.36 1.00000000 1 1 0.588235294        
105 1.05 8.32 1.00000000 1 1 0.588235294        
106 1.06 8.28 1.00000000 1 1 0.588235294        
107 1.07 8.23 1.00000000 1 1 0.588235294        
108 1.08 8.19 1.00000000 1 1 0.588235294        
109 1.09 8.15 1.00000000 1 1 0.588235294        
110 1.10 8.11 1.00000000 1 1 0.588235294        
111 1.11 8.06 1.00000000 1 1 0.588235294        
112 1.12 8.02 1.00000000 1 1 0.588235294        
113 1.13 7.98 1.00000000 1 1 0.588235294        
114 1.14 7.94 1.00000000 1 1 0.588235294        
115 1.15 7.89 1.00000000 1 1 0.588235294        
116 1.16 7.85 1.00000000 1 1 0.588235294        
117 1.17 7.81 1.00000000 1 1 0.588235294        
118 1.18 7.77 1.00000000 1 1 0.588235294        
119 1.19 7.72 1.00000000 1 1 0.588235294        
120 1.20 7.68 1.00000000 1 1 0.588235294        
121 1.21 7.64 1.00000000 1 1 0.588235294        
122 1.22 7.59 1.00000000 1 1 0.588235294        
123 1.23 7.55 1.00000000 1 1 0.588235294        
124 1.24 7.51 1.00000000 1 1 0.588235294        
125 1.25 7.47 1.00000000 1 1 0.588235294        
126 1.26 7.42 1.00000000 1 1 0.588235294        
127 1.27 7.38 1.00000000 1 1 0.588235294        
128 1.28 7.34 1.00000000 1 1 0.588235294        
129 1.29 7.30 1.00000000 1 1 0.588235294        
130 1.30 7.25 1.00000000 1 1 0.588235294        
131 1.31 7.21 1.00000000 1 1 0.588235294        
132 1.32 7.17 1.00000000 1 1 0.588235294        
133 1.33 7.13 1.00000000 1 1 0.588235294        
134 1.34 7.08 1.00000000 1 1 0.588235294        
135 1.35 7.04 1.00000000 1 1 0.588235294        
136 1.36 7.00 1.00000000 1 1 0.588235294        
137 1.37 6.95 1.00000000 1 1 0.588235293        
138 1.38 6.91 1.00000000 1 1 0.588235293        
139 1.39 6.87 1.00000000 1 1 0.588235292        
140 1.40 6.83 1.00000000 1 1 0.588235291        
141 1.41 6.78 0.99999999 1 0.99999999 0.58823529        
142 1.42 6.74 0.99999999 1 0.99999999 0.588235288        
143 1.43 6.70 0.99999999 1 0.99999998 0.588235285        
144 1.44 6.66 0.99999998 1 0.99999998 0.58823528        
145 1.45 6.61 0.99999997 1 0.99999996 0.588235273        
146 1.46 6.57 0.99999996 1 0.99999995 0.588235263        
147 1.47 6.53 0.99999994 1 0.99999992 0.588235248        
148 1.48 6.49 0.99999991 1 0.99999989 0.588235227        
149 1.49 6.44 0.99999986 1 0.99999983 0.588235196        
150 1.50 6.40 0.99999980 1 0.99999976 0.588235152        
151 1.51 6.36 0.99999971 1 0.99999965 0.588235088        
152 1.52 6.31 0.99999959 0.999999 0.9999995 0.588234998        
153 1.53 6.27 0.99999941 0.999999 0.99999928 0.58823487        
154 1.54 6.23 0.99999915 0.999999 0.99999897 0.58823469        
155 1.55 6.19 0.99999879 0.999998 0.99999854 0.588234438        
156 1.56 6.14 0.99999830 0.999998 0.99999795 0.588234087        
157 1.57 6.10 0.99999760 0.999997 0.99999712 0.588233599        
158 1.58 6.06 0.99999664 0.999995 0.99999598 0.588232927        
159 1.59 6.02 0.99999531 0.999993 0.9999944 0.588232003        
160 1.60 5.97 0.99999350 0.999991 0.99999226 0.588230741        
161 1.61 5.93 0.99999102 0.999988 0.99998934 0.588229025        
162 1.62 5.89 0.99998766 0.999983 0.9999854 0.588226705        
163 1.63 5.85 0.99998313 0.999977 0.99998009 0.588223582        
164 1.64 5.80 0.99997705 0.999969 0.99997298 0.588219402        
165 1.65 5.76 0.99996892 0.999958 0.99996352 0.588213832        
166 1.66 5.72 0.99995811 0.999944 0.99995097 0.588206451        
167 1.67 5.67 0.99994382 0.999925 0.99993442 0.588196715        
168 1.68 5.63 0.99992501 0.9999 0.9999127 0.588183942        
169 1.69 5.59 0.99990039 0.999868 0.99988435 0.588167265        
170 1.70 5.55 0.99986831 0.999827 0.99984752 0.588145602        
171 1.71 5.50 0.99982674 0.999773 0.99979993 0.588117605        
172 1.72 5.46 0.99977312 0.999704 0.99973873 0.588081603        
173 1.73 5.42 0.99970433 0.999617 0.99966042 0.588035541        
174 1.74 5.38 0.99961651 0.999505 0.99956074 0.587976904        
175 1.75 5.33 0.99950496 0.999364 0.99943448 0.587902636        
176 1.76 5.29 0.99936400 0.999187 0.99927537 0.587809043        
177 1.77 5.25 0.99918675 0.998965 0.99907587 0.587691689        
178 1.78 5.21 0.99896500 0.998689 0.99882699 0.587545286        
179 1.79 5.16 0.99868898 0.998347 0.99851805 0.58736356        
180 1.80 5.12 0.99834713 0.997926 0.99813652 0.587139127        
181 1.81 5.08 0.99792590 0.997409 0.99766769 0.586863345        
182 1.82 5.03 0.99740947 0.99678 0.99709449 0.586526171        
183 1.83 4.99 0.99677951 0.996015 0.99639723 0.586116016        
184 1.84 4.95 0.99601494 0.995092 0.99555331 0.585619596        
185 1.85 4.91 0.99509168 0.993982 0.99453705 0.585021792        
186 1.86 4.86 0.99398241 0.992656 0.99331939 0.584305523        
187 1.87 4.82 0.99265637 0.991079 0.99186778 0.583451636        
188 1.88 4.78 0.99107919 0.989213 0.99014599 0.582438816        
189 1.89 4.74 0.98921278 0.987015 0.988114 0.581243529        
190 1.90 4.69 0.98701522 0.984441 0.98572801 0.579840008        
191 1.91 4.65 0.98444081 0.98144 0.98294046 0.578200273        
192 1.92 4.61 0.98144012 0.97796 0.97970017 0.576294216        
193 1.93 4.57 0.97796021 0.973945 0.97595256 0.574089739        
194 1.94 4.52 0.97394490 0.969335 0.97164003 0.571552958        
195 1.95 4.48 0.96933516 0.96407 0.96670242 0.568648482        
196 1.96 4.44 0.96406968 0.958086 0.96107759 0.565339762        
197 1.97 4.39 0.95808551 0.951319 0.95470217 0.561589513        
198 1.98 4.35 0.95131884 0.943706 0.94751238 0.557360222        
199 1.99 4.31 0.94370592 0.935184 0.93944502 0.552614716        
200 2.00 4.27 0.93518411 0.925693 0.93043856 0.547316799        
201 2.01 4.22 0.92569300 0.915176 0.92043431 0.54143195        
202 2.02 4.18 0.91517563 0.90358 0.90937771 0.534928062        
203 2.03 4.14 0.90357978 0.890859 0.89721956 0.527776215        
204 2.04 4.10 0.89085934 0.876976 0.88391747 0.519951453        
205 2.05 4.05 0.87697560 0.861899 0.86943708 0.511433575        
206 2.06 4.01 0.86189856 0.845608 0.85375338 0.502207873        
207 2.07 3.97 0.84560821 0.828096 0.83685194 0.492265848        
208 2.08 3.93 0.82809567 0.809364 0.81872991 0.48160583        
209 2.09 3.88 0.80936415 0.78943 0.79939699 0.470233524        
210 2.10 3.84 0.78942983 0.768322 0.77887613 0.458162428        
211 2.11 3.80 0.76832243 0.746086 0.75720401 0.445414123        
212 2.12 3.75 0.74608559 0.722777 0.7344313 0.432018413        
213 2.13 3.71 0.72277701 0.698468 0.71062261 0.418013301        
214 2.14 3.67 0.69846821 0.673244 0.68585615 0.403444796        
215 2.15 3.63 0.67324409 0.647202 0.66022313 0.388366545        
216 2.16 3.58 0.64720216 0.620451 0.6338268 0.372839296        
217 2.17 3.54 0.62045145 0.593111 0.60678133 0.356930196        
218 2.18 3.50 0.59311122 0.565309 0.57921029 0.340711935        
219 2.19 3.46 0.56530936 0.537181 0.55124499 0.32426176        
220 2.20 3.41 0.53718062 0.508865 0.52302264 0.307660376        
221 2.21 3.37 0.50886465 0.480504 0.49468429 0.290990758        
222 2.22 3.33 0.48050392 0.452242 0.46637275 0.274336911        
223 2.23 3.29 0.45224157 0.424219 0.43823042 0.257782602        
224 2.24 3.24 0.42421927 0.396575 0.41039717 0.241410098        
225 2.25 3.20 0.39657506 0.369441 0.3830082 0.225298941        
226 2.26 3.16 0.36944134 0.342943 0.35619215 0.209524795        
227 2.27 3.11 0.34294296 0.317196 0.33006924 0.194158378        
228 2.28 3.07 0.31719552 0.292304 0.3047497 0.17926453        
229 2.29 3.03 0.29230388 0.268361 0.2803324 0.164901411        
230 2.30 2.99 0.26836092 0.245447 0.25690376 0.151119857        
231 2.31 2.94 0.24544660 0.223627 0.23453694 0.137962908        
232 2.32 2.90 0.22362729 0.202955 0.21329136 0.125465507        
233 2.33 2.86 0.20295543 0.183469 0.19321242 0.113654367        
234 2.34 2.82 0.18346942 0.165194 0.17433162 0.102548014        
235 2.35 2.77 0.16519383 0.14814 0.15666687 0.092156981        
236 2.36 2.73 0.14813990 0.132306 0.14022306 0.082484152        
237 2.37 2.69 0.13230621 0.11768 0.12499289 0.073525228        
238 2.38 2.65 0.11767956 0.104236 0.11095782 0.065269303        
239 2.39 2.60 0.10423607 0.091942 0.09808919 0.057699524        
240 2.40 2.56 0.09194232 0.080757 0.08634949 0.050793816        
241 2.41 2.52 0.08075666 0.070631 0.0756936 0.044525645        
242 2.42 2.47 0.07063054 0.06151 0.06607017 0.038864805        
243 2.43 2.43 0.06150980 0.053336 0.05742293 0.033778193        
244 2.44 2.39 0.05333605 0.046048 0.04969198 0.029230576        
245 2.45 2.35 0.04604790 0.039582 0.04281503 0.025185314        
246 2.46 2.30 0.03958216 0.033875 0.03672856 0.021605034        
247 2.47 2.26 0.03387495 0.028863 0.03136882 0.018452245        
248 2.48 2.22 0.02886268 0.024483 0.0266728 0.015689884        
249 2.49 2.18 0.02448293 0.020675 0.02257904 0.013281791        
250 2.50 2.13 0.02067516 0.017381 0.01902827 0.011193101        
251 2.51 2.09 0.01738138 0.014547 0.01596397 0.009390573        
252 2.52 2.05 0.01454657 0.012119 0.01333282 0.007842835        
253 2.53 2.01 0.01211907 0.010051 0.01108496 0.006520563        
254 2.54 1.96 0.01005084 0.008298 0.00917422 0.005396601        
255 2.55 1.92 0.00829760 0.006819 0.00755823 0.004446018        
256 2.56 1.88 0.00681886 0.005578 0.0061984 0.003646118        
257 2.57 1.83 0.00557794 0.004542 0.00505989 0.002976405        
258 2.58 1.79 0.00454184 0.003681 0.00411147 0.002418513        
259 2.59 1.75 0.00368111 0.00297 0.00332539 0.001956113        
260 2.60 1.71 0.00296967 0.002385 0.00267714 0.001574788        
261 2.61 1.66 0.00238461 0.001906 0.00214524 0.001261908        
262 2.62 1.62 0.00190588 0.001516 0.00171102 0.00100648        
263 2.63 1.58 0.00151615 0.0012 0.00135831 0.000799004        
264 2.64 1.54 0.00120046 0.000946 0.00107326 0.000631327        
265 2.65 1.49 0.00094605 0.000742 0.00084405 0.000496497        
266 2.66 1.45 0.00074204 0.000579 0.00066066 0.000388625        
267 2.67 1.41 0.00057928 0.00045 0.00051469 0.000302756        
268 2.68 1.37 0.00045009 0.000348 0.00039907 0.000234746        
269 2.69 1.32 0.00034805 0.000268 0.00030796 0.000181152        
270 2.70 1.28 0.00026787 0.000205 0.00023652 0.000139131        
271 2.71 1.24 0.00020518 0.000156 0.00018079 0.000106349        
272 2.72 1.19 0.00015641 0.000119 0.00013754 8.0905E-05        
273 2.73 1.15 0.00011867 8.96E-05 0.00010413 6.12548E-05        
274 2.74 1.11 0.00008960 6.73E-05 7.8465E-05 4.61557E-05        
275 2.75 1.07 0.00006733 5.04E-05 5.8841E-05 3.46123E-05        
276 2.76 1.02 0.00005035 3.75E-05 4.3913E-05 2.58315E-05        
277 2.77 0.98 0.00003747 2.78E-05 3.2616E-05 1.91858E-05        
278 2.78 0.94 0.00002776 2.05E-05 2.4108E-05 1.41815E-05        
279 2.79 0.90 0.00002046 1.5E-05 1.7734E-05 1.0432E-05        
280 2.80 0.85 0.00001501 1.1E-05 1.2983E-05 7.63693E-06        
281 2.81 0.81 0.00001096 7.96E-06 9.4584E-06 5.56379E-06        
282 2.82 0.77 0.00000796 5.76E-06 6.8576E-06 4.03387E-06        
283 2.83 0.73 0.00000576 4.14E-06 4.9479E-06 2.91051E-06        
284 2.84 0.68 0.00000414 2.96E-06 3.5527E-06 2.08983E-06        
285 2.85 0.64 0.00000296 2.11E-06 2.5386E-06 1.49329E-06        
286 2.86 0.60 0.00000211 1.5E-06 1.8052E-06 1.06186E-06        
287 2.87 0.55 0.00000150 1.06E-06 1.2774E-06 7.51414E-07        
288 2.88 0.51 0.00000106 7.42E-07 8.9955E-07 5.29147E-07        
289 2.89 0.47 0.00000074 5.19E-07 6.3039E-07 3.70815E-07        
290 2.90 0.43 0.00000052 3.61E-07 4.3961E-07 2.58595E-07        
291 2.91 0.38 0.00000036 2.5E-07 3.0508E-07 1.79459E-07        
292 2.92 0.34 0.00000025 1.72E-07 2.1069E-07 1.23933E-07        
293 2.93 0.30 0.00000017 1.18E-07 1.4479E-07 8.51697E-08        
294 2.94 0.26 0.00000012 8.03E-08 9.9017E-08 5.82451E-08        
295 2.95 0.21 0.00000008 5.45E-08 6.7384E-08 3.96376E-08        
296 2.96 0.17 0.00000005 3.68E-08 4.5633E-08 2.68428E-08        
297 2.97 0.13 0.00000004 2.47E-08 3.0752E-08 1.80891E-08        
298 2.98 0.09 0.00000002 1.65E-08 2.0622E-08 1.21305E-08        
299 2.99 0.04 0.00000002 1.1E-08 1.3761E-08 8.0948E-09        
300 3.00 0.00 0.00000001 7.28E-09 9.138E-09 5.37527E-09        
        SUM   129.5955882        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 14.00 vph   K=   4.117647059 vpm      
MU 3.40 mph   N=   12 veh      
SIGMA 0.60 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 9.07   PER HOUR= 38.71
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 3.01     4
        DETERMINISTIC (FOR MU <<<< U)= 9.07      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 1.00000000 1 1 0.041176471        
2 0.02 12.71 1.00000000 1 1 0.041176471        
3 0.03 12.67 1.00000000 1 1 0.041176471        
4 0.04 12.63 1.00000000 1 1 0.041176471        
5 0.05 12.59 1.00000000 1 1 0.041176471        
6 0.06 12.54 1.00000000 1 1 0.041176471        
7 0.07 12.50 1.00000000 1 1 0.041176471        
8 0.08 12.46 1.00000000 1 1 0.041176471        
9 0.09 12.42 1.00000000 1 1 0.041176471        
10 0.10 12.37 1.00000000 1 1 0.041176471        
11 0.11 12.33 1.00000000 1 1 0.041176471        
12 0.12 12.29 1.00000000 1 1 0.041176471        
13 0.13 12.25 1.00000000 1 1 0.041176471        
14 0.14 12.20 1.00000000 1 1 0.041176471        
15 0.15 12.16 1.00000000 1 1 0.041176471        
16 0.16 12.12 1.00000000 1 1 0.041176471        
17 0.17 12.07 1.00000000 1 1 0.041176471        
18 0.18 12.03 1.00000000 1 1 0.041176471        
19 0.19 11.99 1.00000000 1 1 0.041176471        
20 0.20 11.95 1.00000000 1 1 0.041176471        
21 0.21 11.90 1.00000000 1 1 0.041176471        
22 0.22 11.86 1.00000000 1 1 0.041176471        
23 0.23 11.82 1.00000000 1 1 0.041176471        
24 0.24 11.78 1.00000000 1 1 0.041176471        
25 0.25 11.73 1.00000000 1 1 0.041176471        
26 0.26 11.69 1.00000000 1 1 0.041176471        
27 0.27 11.65 1.00000000 1 1 0.041176471        
28 0.28 11.61 1.00000000 1 1 0.041176471        
29 0.29 11.56 1.00000000 1 1 0.041176471        
30 0.30 11.52 1.00000000 1 1 0.041176471        
31 0.31 11.48 1.00000000 1 1 0.041176471        
32 0.32 11.43 1.00000000 1 1 0.041176471        
33 0.33 11.39 1.00000000 1 1 0.041176471        
34 0.34 11.35 1.00000000 1 1 0.041176471        
35 0.35 11.31 1.00000000 1 1 0.041176471        
36 0.36 11.26 1.00000000 1 1 0.041176471        
37 0.37 11.22 1.00000000 1 1 0.041176471        
38 0.38 11.18 1.00000000 1 1 0.041176471        
39 0.39 11.14 1.00000000 1 1 0.041176471        
40 0.40 11.09 1.00000000 1 1 0.041176471        
41 0.41 11.05 1.00000000 1 1 0.041176471        
42 0.42 11.01 1.00000000 1 1 0.041176471        
43 0.43 10.97 1.00000000 1 1 0.041176471        
44 0.44 10.92 1.00000000 1 1 0.041176471        
45 0.45 10.88 1.00000000 1 1 0.041176471        
46 0.46 10.84 1.00000000 1 1 0.041176471        
47 0.47 10.79 1.00000000 1 1 0.041176471        
48 0.48 10.75 1.00000000 1 1 0.041176471        
49 0.49 10.71 1.00000000 1 1 0.041176471        
50 0.50 10.67 1.00000000 1 1 0.041176471        
51 0.51 10.62 1.00000000 1 1 0.041176471        
52 0.52 10.58 1.00000000 1 1 0.041176471        
53 0.53 10.54 1.00000000 1 1 0.041176471        
54 0.54 10.50 1.00000000 1 1 0.041176471        
55 0.55 10.45 1.00000000 1 1 0.041176471        
56 0.56 10.41 1.00000000 1 1 0.041176471        
57 0.57 10.37 1.00000000 1 1 0.041176471        
58 0.58 10.33 1.00000000 1 1 0.041176471        
59 0.59 10.28 1.00000000 1 1 0.041176471        
60 0.60 10.24 1.00000000 1 1 0.041176471        
61 0.61 10.20 1.00000000 1 1 0.041176471        
62 0.62 10.15 1.00000000 1 1 0.041176471        
63 0.63 10.11 1.00000000 1 1 0.041176471        
64 0.64 10.07 1.00000000 1 1 0.041176471        
65 0.65 10.03 1.00000000 1 1 0.041176471        
66 0.66 9.98 1.00000000 1 1 0.041176471        
67 0.67 9.94 1.00000000 1 1 0.041176471        
68 0.68 9.90 1.00000000 1 1 0.041176471        
69 0.69 9.86 1.00000000 1 1 0.041176471        
70 0.70 9.81 1.00000000 1 1 0.041176471        
71 0.71 9.77 1.00000000 1 1 0.041176471        
72 0.72 9.73 1.00000000 1 1 0.041176471        
73 0.73 9.69 1.00000000 1 1 0.041176471        
74 0.74 9.64 1.00000000 1 1 0.041176471        
75 0.75 9.60 1.00000000 1 1 0.041176471        
76 0.76 9.56 1.00000000 1 1 0.041176471        
77 0.77 9.51 1.00000000 1 1 0.041176471        
78 0.78 9.47 1.00000000 1 1 0.041176471        
79 0.79 9.43 1.00000000 1 1 0.041176471        
80 0.80 9.39 1.00000000 1 1 0.041176471        
81 0.81 9.34 1.00000000 1 1 0.041176471        
82 0.82 9.30 1.00000000 1 1 0.041176471        
83 0.83 9.26 1.00000000 1 1 0.041176471        
84 0.84 9.22 1.00000000 1 1 0.041176471        
85 0.85 9.17 1.00000000 1 1 0.041176471        
86 0.86 9.13 1.00000000 1 1 0.041176471        
87 0.87 9.09 1.00000000 1 1 0.041176471        
88 0.88 9.05 1.00000000 1 1 0.041176471        
89 0.89 9.00 1.00000000 1 1 0.041176471        
90 0.90 8.96 1.00000000 1 1 0.041176471        
91 0.91 8.92 1.00000000 1 1 0.041176471        
92 0.92 8.87 1.00000000 1 1 0.041176471        
93 0.93 8.83 1.00000000 1 1 0.041176471        
94 0.94 8.79 1.00000000 1 1 0.041176471        
95 0.95 8.75 1.00000000 1 1 0.041176471        
96 0.96 8.70 1.00000000 1 1 0.041176471        
97 0.97 8.66 1.00000000 1 1 0.041176471        
98 0.98 8.62 1.00000000 1 1 0.041176471        
99 0.99 8.58 1.00000000 1 1 0.041176471        
100 1.00 8.53 1.00000000 1 1 0.041176471        
101 1.01 8.49 1.00000000 1 1 0.041176471        
102 1.02 8.45 1.00000000 1 1 0.041176471        
103 1.03 8.41 1.00000000 1 1 0.041176471        
104 1.04 8.36 1.00000000 1 1 0.041176471        
105 1.05 8.32 1.00000000 1 1 0.041176471        
106 1.06 8.28 1.00000000 1 1 0.041176471        
107 1.07 8.23 1.00000000 1 1 0.041176471        
108 1.08 8.19 1.00000000 1 1 0.041176471        
109 1.09 8.15 1.00000000 1 1 0.041176471        
110 1.10 8.11 1.00000000 1 1 0.041176471        
111 1.11 8.06 1.00000000 1 1 0.041176471        
112 1.12 8.02 1.00000000 1 1 0.041176471        
113 1.13 7.98 1.00000000 1 1 0.041176471        
114 1.14 7.94 1.00000000 1 1 0.041176471        
115 1.15 7.89 1.00000000 1 1 0.041176471        
116 1.16 7.85 1.00000000 1 1 0.041176471        
117 1.17 7.81 1.00000000 1 1 0.041176471        
118 1.18 7.77 1.00000000 1 1 0.041176471        
119 1.19 7.72 1.00000000 1 1 0.041176471        
120 1.20 7.68 1.00000000 1 1 0.041176471        
121 1.21 7.64 1.00000000 1 1 0.041176471        
122 1.22 7.59 1.00000000 1 1 0.041176471        
123 1.23 7.55 1.00000000 1 1 0.041176471        
124 1.24 7.51 1.00000000 1 1 0.041176471        
125 1.25 7.47 1.00000000 1 1 0.041176471        
126 1.26 7.42 1.00000000 1 1 0.041176471        
127 1.27 7.38 1.00000000 1 1 0.041176471        
128 1.28 7.34 1.00000000 1 1 0.041176471        
129 1.29 7.30 1.00000000 1 1 0.041176471        
130 1.30 7.25 1.00000000 1 1 0.041176471        
131 1.31 7.21 1.00000000 1 1 0.041176471        
132 1.32 7.17 1.00000000 1 1 0.041176471        
133 1.33 7.13 1.00000000 1 1 0.041176471        
134 1.34 7.08 1.00000000 1 1 0.041176471        
135 1.35 7.04 1.00000000 1 1 0.041176471        
136 1.36 7.00 1.00000000 1 1 0.041176471        
137 1.37 6.95 1.00000000 1 1 0.041176471        
138 1.38 6.91 1.00000000 1 1 0.041176471        
139 1.39 6.87 1.00000000 1 1 0.04117647        
140 1.40 6.83 1.00000000 1 1 0.04117647        
141 1.41 6.78 0.99999999 1 0.99999999 0.04117647        
142 1.42 6.74 0.99999999 1 0.99999999 0.04117647        
143 1.43 6.70 0.99999999 1 0.99999998 0.04117647        
144 1.44 6.66 0.99999998 1 0.99999998 0.04117647        
145 1.45 6.61 0.99999997 1 0.99999996 0.041176469        
146 1.46 6.57 0.99999996 1 0.99999995 0.041176468        
147 1.47 6.53 0.99999994 1 0.99999992 0.041176467        
148 1.48 6.49 0.99999991 1 0.99999989 0.041176466        
149 1.49 6.44 0.99999986 1 0.99999983 0.041176464        
150 1.50 6.40 0.99999980 1 0.99999976 0.041176461        
151 1.51 6.36 0.99999971 1 0.99999965 0.041176456        
152 1.52 6.31 0.99999959 0.999999 0.9999995 0.04117645        
153 1.53 6.27 0.99999941 0.999999 0.99999928 0.041176441        
154 1.54 6.23 0.99999915 0.999999 0.99999897 0.041176428        
155 1.55 6.19 0.99999879 0.999998 0.99999854 0.041176411        
156 1.56 6.14 0.99999830 0.999998 0.99999795 0.041176386        
157 1.57 6.10 0.99999760 0.999997 0.99999712 0.041176352        
158 1.58 6.06 0.99999664 0.999995 0.99999598 0.041176305        
159 1.59 6.02 0.99999531 0.999993 0.9999944 0.04117624        
160 1.60 5.97 0.99999350 0.999991 0.99999226 0.041176152        
161 1.61 5.93 0.99999102 0.999988 0.99998934 0.041176032        
162 1.62 5.89 0.99998766 0.999983 0.9999854 0.041175869        
163 1.63 5.85 0.99998313 0.999977 0.99998009 0.041175651        
164 1.64 5.80 0.99997705 0.999969 0.99997298 0.041175358        
165 1.65 5.76 0.99996892 0.999958 0.99996352 0.041174968        
166 1.66 5.72 0.99995811 0.999944 0.99995097 0.041174452        
167 1.67 5.67 0.99994382 0.999925 0.99993442 0.04117377        
168 1.68 5.63 0.99992501 0.9999 0.9999127 0.041172876        
169 1.69 5.59 0.99990039 0.999868 0.99988435 0.041171709        
170 1.70 5.55 0.99986831 0.999827 0.99984752 0.041170192        
171 1.71 5.50 0.99982674 0.999773 0.99979993 0.041168232        
172 1.72 5.46 0.99977312 0.999704 0.99973873 0.041165712        
173 1.73 5.42 0.99970433 0.999617 0.99966042 0.041162488        
174 1.74 5.38 0.99961651 0.999505 0.99956074 0.041158383        
175 1.75 5.33 0.99950496 0.999364 0.99943448 0.041153185        
176 1.76 5.29 0.99936400 0.999187 0.99927537 0.041146633        
177 1.77 5.25 0.99918675 0.998965 0.99907587 0.041138418        
178 1.78 5.21 0.99896500 0.998689 0.99882699 0.04112817        
179 1.79 5.16 0.99868898 0.998347 0.99851805 0.041115449        
180 1.80 5.12 0.99834713 0.997926 0.99813652 0.041099739        
181 1.81 5.08 0.99792590 0.997409 0.99766769 0.041080434        
182 1.82 5.03 0.99740947 0.99678 0.99709449 0.041056832        
183 1.83 4.99 0.99677951 0.996015 0.99639723 0.041028121        
184 1.84 4.95 0.99601494 0.995092 0.99555331 0.040993372        
185 1.85 4.91 0.99509168 0.993982 0.99453705 0.040951525        
186 1.86 4.86 0.99398241 0.992656 0.99331939 0.040901387        
187 1.87 4.82 0.99265637 0.991079 0.99186778 0.040841615        
188 1.88 4.78 0.99107919 0.989213 0.99014599 0.040770717        
189 1.89 4.74 0.98921278 0.987015 0.988114 0.040687047        
190 1.90 4.69 0.98701522 0.984441 0.98572801 0.040588801        
191 1.91 4.65 0.98444081 0.98144 0.98294046 0.040474019        
192 1.92 4.61 0.98144012 0.97796 0.97970017 0.040340595        
193 1.93 4.57 0.97796021 0.973945 0.97595256 0.040186282        
194 1.94 4.52 0.97394490 0.969335 0.97164003 0.040008707        
195 1.95 4.48 0.96933516 0.96407 0.96670242 0.039805394        
196 1.96 4.44 0.96406968 0.958086 0.96107759 0.039573783        
197 1.97 4.39 0.95808551 0.951319 0.95470217 0.039311266        
198 1.98 4.35 0.95131884 0.943706 0.94751238 0.039015216        
199 1.99 4.31 0.94370592 0.935184 0.93944502 0.03868303        
200 2.00 4.27 0.93518411 0.925693 0.93043856 0.038312176        
201 2.01 4.22 0.92569300 0.915176 0.92043431 0.037900236        
202 2.02 4.18 0.91517563 0.90358 0.90937771 0.037444964        
203 2.03 4.14 0.90357978 0.890859 0.89721956 0.036944335        
204 2.04 4.10 0.89085934 0.876976 0.88391747 0.036396602        
205 2.05 4.05 0.87697560 0.861899 0.86943708 0.03580035        
206 2.06 4.01 0.86189856 0.845608 0.85375338 0.035154551        
207 2.07 3.97 0.84560821 0.828096 0.83685194 0.034458609        
208 2.08 3.93 0.82809567 0.809364 0.81872991 0.033712408        
209 2.09 3.88 0.80936415 0.78943 0.79939699 0.032916347        
210 2.10 3.84 0.78942983 0.768322 0.77887613 0.03207137        
211 2.11 3.80 0.76832243 0.746086 0.75720401 0.031178989        
212 2.12 3.75 0.74608559 0.722777 0.7344313 0.030241289        
213 2.13 3.71 0.72277701 0.698468 0.71062261 0.029260931        
214 2.14 3.67 0.69846821 0.673244 0.68585615 0.028241136        
215 2.15 3.63 0.67324409 0.647202 0.66022313 0.027185658        
216 2.16 3.58 0.64720216 0.620451 0.6338268 0.026098751        
217 2.17 3.54 0.62045145 0.593111 0.60678133 0.024985114        
218 2.18 3.50 0.59311122 0.565309 0.57921029 0.023849835        
219 2.19 3.46 0.56530936 0.537181 0.55124499 0.022698323        
220 2.20 3.41 0.53718062 0.508865 0.52302264 0.021536226        
221 2.21 3.37 0.50886465 0.480504 0.49468429 0.020369353        
222 2.22 3.33 0.48050392 0.452242 0.46637275 0.019203584        
223 2.23 3.29 0.45224157 0.424219 0.43823042 0.018044782        
224 2.24 3.24 0.42421927 0.396575 0.41039717 0.016898707        
225 2.25 3.20 0.39657506 0.369441 0.3830082 0.015770926        
226 2.26 3.16 0.36944134 0.342943 0.35619215 0.014666736        
227 2.27 3.11 0.34294296 0.317196 0.33006924 0.013591086        
228 2.28 3.07 0.31719552 0.292304 0.3047497 0.012548517        
229 2.29 3.03 0.29230388 0.268361 0.2803324 0.011543099        
230 2.30 2.99 0.26836092 0.245447 0.25690376 0.01057839        
231 2.31 2.94 0.24544660 0.223627 0.23453694 0.009657404        
232 2.32 2.90 0.22362729 0.202955 0.21329136 0.008782585        
233 2.33 2.86 0.20295543 0.183469 0.19321242 0.007955806        
234 2.34 2.82 0.18346942 0.165194 0.17433162 0.007178361        
235 2.35 2.77 0.16519383 0.14814 0.15666687 0.006450989        
236 2.36 2.73 0.14813990 0.132306 0.14022306 0.005773891        
237 2.37 2.69 0.13230621 0.11768 0.12499289 0.005146766        
238 2.38 2.65 0.11767956 0.104236 0.11095782 0.004568851        
239 2.39 2.60 0.10423607 0.091942 0.09808919 0.004038967        
240 2.40 2.56 0.09194232 0.080757 0.08634949 0.003555567        
241 2.41 2.52 0.08075666 0.070631 0.0756936 0.003116795        
242 2.42 2.47 0.07063054 0.06151 0.06607017 0.002720536        
243 2.43 2.43 0.06150980 0.053336 0.05742293 0.002364473        
244 2.44 2.39 0.05333605 0.046048 0.04969198 0.00204614        
245 2.45 2.35 0.04604790 0.039582 0.04281503 0.001762972        
246 2.46 2.30 0.03958216 0.033875 0.03672856 0.001512352        
247 2.47 2.26 0.03387495 0.028863 0.03136882 0.001291657        
248 2.48 2.22 0.02886268 0.024483 0.0266728 0.001098292        
249 2.49 2.18 0.02448293 0.020675 0.02257904 0.000929725        
250 2.50 2.13 0.02067516 0.017381 0.01902827 0.000783517        
251 2.51 2.09 0.01738138 0.014547 0.01596397 0.00065734        
252 2.52 2.05 0.01454657 0.012119 0.01333282 0.000548998        
253 2.53 2.01 0.01211907 0.010051 0.01108496 0.000456439        
254 2.54 1.96 0.01005084 0.008298 0.00917422 0.000377762        
255 2.55 1.92 0.00829760 0.006819 0.00755823 0.000311221        
256 2.56 1.88 0.00681886 0.005578 0.0061984 0.000255228        
257 2.57 1.83 0.00557794 0.004542 0.00505989 0.000208348        
258 2.58 1.79 0.00454184 0.003681 0.00411147 0.000169296        
259 2.59 1.75 0.00368111 0.00297 0.00332539 0.000136928        
260 2.60 1.71 0.00296967 0.002385 0.00267714 0.000110235        
261 2.61 1.66 0.00238461 0.001906 0.00214524 8.83336E-05        
262 2.62 1.62 0.00190588 0.001516 0.00171102 7.04536E-05        
263 2.63 1.58 0.00151615 0.0012 0.00135831 5.59303E-05        
264 2.64 1.54 0.00120046 0.000946 0.00107326 4.41929E-05        
265 2.65 1.49 0.00094605 0.000742 0.00084405 3.47548E-05        
266 2.66 1.45 0.00074204 0.000579 0.00066066 2.72038E-05        
267 2.67 1.41 0.00057928 0.00045 0.00051469 2.11929E-05        
268 2.68 1.37 0.00045009 0.000348 0.00039907 1.64322E-05        
269 2.69 1.32 0.00034805 0.000268 0.00030796 1.26806E-05        
270 2.70 1.28 0.00026787 0.000205 0.00023652 9.73916E-06        
271 2.71 1.24 0.00020518 0.000156 0.00018079 7.44446E-06        
272 2.72 1.19 0.00015641 0.000119 0.00013754 5.66335E-06        
273 2.73 1.15 0.00011867 8.96E-05 0.00010413 4.28783E-06        
274 2.74 1.11 0.00008960 6.73E-05 7.8465E-05 3.2309E-06        
275 2.75 1.07 0.00006733 5.04E-05 5.8841E-05 2.42286E-06        
276 2.76 1.02 0.00005035 3.75E-05 4.3913E-05 1.8082E-06        
277 2.77 0.98 0.00003747 2.78E-05 3.2616E-05 1.34301E-06        
278 2.78 0.94 0.00002776 2.05E-05 2.4108E-05 9.92702E-07        
279 2.79 0.90 0.00002046 1.5E-05 1.7734E-05 7.3024E-07        
280 2.80 0.85 0.00001501 1.1E-05 1.2983E-05 5.34585E-07        
281 2.81 0.81 0.00001096 7.96E-06 9.4584E-06 3.89465E-07        
282 2.82 0.77 0.00000796 5.76E-06 6.8576E-06 2.82371E-07        
283 2.83 0.73 0.00000576 4.14E-06 4.9479E-06 2.03736E-07        
284 2.84 0.68 0.00000414 2.96E-06 3.5527E-06 1.46288E-07        
285 2.85 0.64 0.00000296 2.11E-06 2.5386E-06 1.0453E-07        
286 2.86 0.60 0.00000211 1.5E-06 1.8052E-06 7.43303E-08        
287 2.87 0.55 0.00000150 1.06E-06 1.2774E-06 5.2599E-08        
288 2.88 0.51 0.00000106 7.42E-07 8.9955E-07 3.70403E-08        
289 2.89 0.47 0.00000074 5.19E-07 6.3039E-07 2.59571E-08        
290 2.90 0.43 0.00000052 3.61E-07 4.3961E-07 1.81017E-08        
291 2.91 0.38 0.00000036 2.5E-07 3.0508E-07 1.25621E-08        
292 2.92 0.34 0.00000025 1.72E-07 2.1069E-07 8.67529E-09        
293 2.93 0.30 0.00000017 1.18E-07 1.4479E-07 5.96188E-09        
294 2.94 0.26 0.00000012 8.03E-08 9.9017E-08 4.07715E-09        
295 2.95 0.21 0.00000008 5.45E-08 6.7384E-08 2.77463E-09        
296 2.96 0.17 0.00000005 3.68E-08 4.5633E-08 1.87899E-09        
297 2.97 0.13 0.00000004 2.47E-08 3.0752E-08 1.26624E-09        
298 2.98 0.09 0.00000002 1.65E-08 2.0622E-08 8.49134E-10        
299 2.99 0.04 0.00000002 1.1E-08 1.3761E-08 5.66636E-10        
300 3.00 0.00 0.00000001 7.28E-09 9.138E-09 3.76269E-10        
        SUM   9.071691176        

 

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 42.68 vph   K=   12.55294118 vpm      
MU 3.40 mph   N=   38 veh      
SIGMA 0.60 mph                
U= 12.80 mph                
X= 3.00 miles   ACTIVE PASSINGS TOTALS= 27.66   PER HOUR= 118.00
BETA 1.00 (<= 1.0) STANDARD DEVIATION= 5.26     5
        DETERMINISTIC (FOR MU <<<< U)= 27.66      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 1.00000000 1 1 0.125529412        
2 0.02 12.71 1.00000000 1 1 0.125529412        
3 0.03 12.67 1.00000000 1 1 0.125529412        
4 0.04 12.63 1.00000000 1 1 0.125529412        
5 0.05 12.59 1.00000000 1 1 0.125529412        
6 0.06 12.54 1.00000000 1 1 0.125529412        
7 0.07 12.50 1.00000000 1 1 0.125529412        
8 0.08 12.46 1.00000000 1 1 0.125529412        
9 0.09 12.42 1.00000000 1 1 0.125529412        
10 0.10 12.37 1.00000000 1 1 0.125529412        
11 0.11 12.33 1.00000000 1 1 0.125529412        
12 0.12 12.29 1.00000000 1 1 0.125529412        
13 0.13 12.25 1.00000000 1 1 0.125529412        
14 0.14 12.20 1.00000000 1 1 0.125529412        
15 0.15 12.16 1.00000000 1 1 0.125529412        
16 0.16 12.12 1.00000000 1 1 0.125529412        
17 0.17 12.07 1.00000000 1 1 0.125529412        
18 0.18 12.03 1.00000000 1 1 0.125529412        
19 0.19 11.99 1.00000000 1 1 0.125529412        
20 0.20 11.95 1.00000000 1 1 0.125529412        
21 0.21 11.90 1.00000000 1 1 0.125529412        
22 0.22 11.86 1.00000000 1 1 0.125529412        
23 0.23 11.82 1.00000000 1 1 0.125529412        
24 0.24 11.78 1.00000000 1 1 0.125529412        
25 0.25 11.73 1.00000000 1 1 0.125529412        
26 0.26 11.69 1.00000000 1 1 0.125529412        
27 0.27 11.65 1.00000000 1 1 0.125529412        
28 0.28 11.61 1.00000000 1 1 0.125529412        
29 0.29 11.56 1.00000000 1 1 0.125529412        
30 0.30 11.52 1.00000000 1 1 0.125529412        
31 0.31 11.48 1.00000000 1 1 0.125529412        
32 0.32 11.43 1.00000000 1 1 0.125529412        
33 0.33 11.39 1.00000000 1 1 0.125529412        
34 0.34 11.35 1.00000000 1 1 0.125529412        
35 0.35 11.31 1.00000000 1 1 0.125529412        
36 0.36 11.26 1.00000000 1 1 0.125529412        
37 0.37 11.22 1.00000000 1 1 0.125529412        
38 0.38 11.18 1.00000000 1 1 0.125529412        
39 0.39 11.14 1.00000000 1 1 0.125529412        
40 0.40 11.09 1.00000000 1 1 0.125529412        
41 0.41 11.05 1.00000000 1 1 0.125529412        
42 0.42 11.01 1.00000000 1 1 0.125529412        
43 0.43 10.97 1.00000000 1 1 0.125529412        
44 0.44 10.92 1.00000000 1 1 0.125529412        
45 0.45 10.88 1.00000000 1 1 0.125529412        
46 0.46 10.84 1.00000000 1 1 0.125529412        
47 0.47 10.79 1.00000000 1 1 0.125529412        
48 0.48 10.75 1.00000000 1 1 0.125529412        
49 0.49 10.71 1.00000000 1 1 0.125529412        
50 0.50 10.67 1.00000000 1 1 0.125529412        
51 0.51 10.62 1.00000000 1 1 0.125529412        
52 0.52 10.58 1.00000000 1 1 0.125529412        
53 0.53 10.54 1.00000000 1 1 0.125529412        
54 0.54 10.50 1.00000000 1 1 0.125529412        
55 0.55 10.45 1.00000000 1 1 0.125529412        
56 0.56 10.41 1.00000000 1 1 0.125529412        
57 0.57 10.37 1.00000000 1 1 0.125529412        
58 0.58 10.33 1.00000000 1 1 0.125529412        
59 0.59 10.28 1.00000000 1 1 0.125529412        
60 0.60 10.24 1.00000000 1 1 0.125529412        
61 0.61 10.20 1.00000000 1 1 0.125529412        
62 0.62 10.15 1.00000000 1 1 0.125529412        
63 0.63 10.11 1.00000000 1 1 0.125529412        
64 0.64 10.07 1.00000000 1 1 0.125529412        
65 0.65 10.03 1.00000000 1 1 0.125529412        
66 0.66 9.98 1.00000000 1 1 0.125529412        
67 0.67 9.94 1.00000000 1 1 0.125529412        
68 0.68 9.90 1.00000000 1 1 0.125529412        
69 0.69 9.86 1.00000000 1 1 0.125529412        
70 0.70 9.81 1.00000000 1 1 0.125529412        
71 0.71 9.77 1.00000000 1 1 0.125529412        
72 0.72 9.73 1.00000000 1 1 0.125529412        
73 0.73 9.69 1.00000000 1 1 0.125529412        
74 0.74 9.64 1.00000000 1 1 0.125529412        
75 0.75 9.60 1.00000000 1 1 0.125529412        
76 0.76 9.56 1.00000000 1 1 0.125529412        
77 0.77 9.51 1.00000000 1 1 0.125529412        
78 0.78 9.47 1.00000000 1 1 0.125529412        
79 0.79 9.43 1.00000000 1 1 0.125529412        
80 0.80 9.39 1.00000000 1 1 0.125529412        
81 0.81 9.34 1.00000000 1 1 0.125529412        
82 0.82 9.30 1.00000000 1 1 0.125529412        
83 0.83 9.26 1.00000000 1 1 0.125529412        
84 0.84 9.22 1.00000000 1 1 0.125529412        
85 0.85 9.17 1.00000000 1 1 0.125529412        
86 0.86 9.13 1.00000000 1 1 0.125529412        
87 0.87 9.09 1.00000000 1 1 0.125529412        
88 0.88 9.05 1.00000000 1 1 0.125529412        
89 0.89 9.00 1.00000000 1 1 0.125529412        
90 0.90 8.96 1.00000000 1 1 0.125529412        
91 0.91 8.92 1.00000000 1 1 0.125529412        
92 0.92 8.87 1.00000000 1 1 0.125529412        
93 0.93 8.83 1.00000000 1 1 0.125529412        
94 0.94 8.79 1.00000000 1 1 0.125529412        
95 0.95 8.75 1.00000000 1 1 0.125529412        
96 0.96 8.70 1.00000000 1 1 0.125529412        
97 0.97 8.66 1.00000000 1 1 0.125529412        
98 0.98 8.62 1.00000000 1 1 0.125529412        
99 0.99 8.58 1.00000000 1 1 0.125529412        
100 1.00 8.53 1.00000000 1 1 0.125529412        
101 1.01 8.49 1.00000000 1 1 0.125529412        
102 1.02 8.45 1.00000000 1 1 0.125529412        
103 1.03 8.41 1.00000000 1 1 0.125529412        
104 1.04 8.36 1.00000000 1 1 0.125529412        
105 1.05 8.32 1.00000000 1 1 0.125529412        
106 1.06 8.28 1.00000000 1 1 0.125529412        
107 1.07 8.23 1.00000000 1 1 0.125529412        
108 1.08 8.19 1.00000000 1 1 0.125529412        
109 1.09 8.15 1.00000000 1 1 0.125529412        
110 1.10 8.11 1.00000000 1 1 0.125529412        
111 1.11 8.06 1.00000000 1 1 0.125529412        
112 1.12 8.02 1.00000000 1 1 0.125529412        
113 1.13 7.98 1.00000000 1 1 0.125529412        
114 1.14 7.94 1.00000000 1 1 0.125529412        
115 1.15 7.89 1.00000000 1 1 0.125529412        
116 1.16 7.85 1.00000000 1 1 0.125529412        
117 1.17 7.81 1.00000000 1 1 0.125529412        
118 1.18 7.77 1.00000000 1 1 0.125529412        
119 1.19 7.72 1.00000000 1 1 0.125529412        
120 1.20 7.68 1.00000000 1 1 0.125529412        
121 1.21 7.64 1.00000000 1 1 0.125529412        
122 1.22 7.59 1.00000000 1 1 0.125529412        
123 1.23 7.55 1.00000000 1 1 0.125529412        
124 1.24 7.51 1.00000000 1 1 0.125529412        
125 1.25 7.47 1.00000000 1 1 0.125529412        
126 1.26 7.42 1.00000000 1 1 0.125529412        
127 1.27 7.38 1.00000000 1 1 0.125529412        
128 1.28 7.34 1.00000000 1 1 0.125529412        
129 1.29 7.30 1.00000000 1 1 0.125529412        
130 1.30 7.25 1.00000000 1 1 0.125529412        
131 1.31 7.21 1.00000000 1 1 0.125529412        
132 1.32 7.17 1.00000000 1 1 0.125529412        
133 1.33 7.13 1.00000000 1 1 0.125529412        
134 1.34 7.08 1.00000000 1 1 0.125529412        
135 1.35 7.04 1.00000000 1 1 0.125529412        
136 1.36 7.00 1.00000000 1 1 0.125529412        
137 1.37 6.95 1.00000000 1 1 0.125529412        
138 1.38 6.91 1.00000000 1 1 0.125529412        
139 1.39 6.87 1.00000000 1 1 0.125529411        
140 1.40 6.83 1.00000000 1 1 0.125529411        
141 1.41 6.78 0.99999999 1 0.99999999 0.125529411        
142 1.42 6.74 0.99999999 1 0.99999999 0.12552941        
143 1.43 6.70 0.99999999 1 0.99999998 0.12552941        
144 1.44 6.66 0.99999998 1 0.99999998 0.125529409        
145 1.45 6.61 0.99999997 1 0.99999996 0.125529407        
146 1.46 6.57 0.99999996 1 0.99999995 0.125529405        
147 1.47 6.53 0.99999994 1 0.99999992 0.125529402        
148 1.48 6.49 0.99999991 1 0.99999989 0.125529397        
149 1.49 6.44 0.99999986 1 0.99999983 0.125529391        
150 1.50 6.40 0.99999980 1 0.99999976 0.125529381        
151 1.51 6.36 0.99999971 1 0.99999965 0.125529368        
152 1.52 6.31 0.99999959 0.999999 0.9999995 0.125529349        
153 1.53 6.27 0.99999941 0.999999 0.99999928 0.125529321        
154 1.54 6.23 0.99999915 0.999999 0.99999897 0.125529283        
155 1.55 6.19 0.99999879 0.999998 0.99999854 0.125529229        
156 1.56 6.14 0.99999830 0.999998 0.99999795 0.125529154        
157 1.57 6.10 0.99999760 0.999997 0.99999712 0.12552905        
158 1.58 6.06 0.99999664 0.999995 0.99999598 0.125528907        
159 1.59 6.02 0.99999531 0.999993 0.9999944 0.125528709        
160 1.60 5.97 0.99999350 0.999991 0.99999226 0.12552844        
161 1.61 5.93 0.99999102 0.999988 0.99998934 0.125528074        
162 1.62 5.89 0.99998766 0.999983 0.9999854 0.125527579        
163 1.63 5.85 0.99998313 0.999977 0.99998009 0.125526912        
164 1.64 5.80 0.99997705 0.999969 0.99997298 0.12552602        
165 1.65 5.76 0.99996892 0.999958 0.99996352 0.125524832        
166 1.66 5.72 0.99995811 0.999944 0.99995097 0.125523257        
167 1.67 5.67 0.99994382 0.999925 0.99993442 0.125521179        
168 1.68 5.63 0.99992501 0.9999 0.9999127 0.125518453        
169 1.69 5.59 0.99990039 0.999868 0.99988435 0.125514894        
170 1.70 5.55 0.99986831 0.999827 0.99984752 0.125510272        
171 1.71 5.50 0.99982674 0.999773 0.99979993 0.125504297        
172 1.72 5.46 0.99977312 0.999704 0.99973873 0.125496614        
173 1.73 5.42 0.99970433 0.999617 0.99966042 0.125486785        
174 1.74 5.38 0.99961651 0.999505 0.99956074 0.125474271        
175 1.75 5.33 0.99950496 0.999364 0.99943448 0.125458423        
176 1.76 5.29 0.99936400 0.999187 0.99927537 0.12543845        
177 1.77 5.25 0.99918675 0.998965 0.99907587 0.125413407        
178 1.78 5.21 0.99896500 0.998689 0.99882699 0.125382164        
179 1.79 5.16 0.99868898 0.998347 0.99851805 0.125343384        
180 1.80 5.12 0.99834713 0.997926 0.99813652 0.12529549        
181 1.81 5.08 0.99792590 0.997409 0.99766769 0.125236638        
182 1.82 5.03 0.99740947 0.99678 0.99709449 0.125164685        
183 1.83 4.99 0.99677951 0.996015 0.99639723 0.125077158        
184 1.84 4.95 0.99601494 0.995092 0.99555331 0.124971222        
185 1.85 4.91 0.99509168 0.993982 0.99453705 0.12484365        
186 1.86 4.86 0.99398241 0.992656 0.99331939 0.124690799        
187 1.87 4.82 0.99265637 0.991079 0.99186778 0.124508579        
188 1.88 4.78 0.99107919 0.989213 0.99014599 0.124292443        
189 1.89 4.74 0.98921278 0.987015 0.988114 0.124037369        
190 1.90 4.69 0.98701522 0.984441 0.98572801 0.123737858        
191 1.91 4.65 0.98444081 0.98144 0.98294046 0.123387938        
192 1.92 4.61 0.98144012 0.97796 0.97970017 0.122981186        
193 1.93 4.57 0.97796021 0.973945 0.97595256 0.12251075        
194 1.94 4.52 0.97394490 0.969335 0.97164003 0.121969401        
195 1.95 4.48 0.96933516 0.96407 0.96670242 0.121349586        
196 1.96 4.44 0.96406968 0.958086 0.96107759 0.120643505        
197 1.97 4.39 0.95808551 0.951319 0.95470217 0.119843202        
198 1.98 4.35 0.95131884 0.943706 0.94751238 0.118940671        
199 1.99 4.31 0.94370592 0.935184 0.93944502 0.11792798        
200 2.00 4.27 0.93518411 0.925693 0.93043856 0.116797405        
201 2.01 4.22 0.92569300 0.915176 0.92043431 0.115541578        
202 2.02 4.18 0.91517563 0.90358 0.90937771 0.114153649        
203 2.03 4.14 0.90357978 0.890859 0.89721956 0.112627444        
204 2.04 4.10 0.89085934 0.876976 0.88391747 0.11095764        
205 2.05 4.05 0.87697560 0.861899 0.86943708 0.109139925        
206 2.06 4.01 0.86189856 0.845608 0.85375338 0.10717116        
207 2.07 3.97 0.84560821 0.828096 0.83685194 0.105049532        
208 2.08 3.93 0.82809567 0.809364 0.81872991 0.102774684        
209 2.09 3.88 0.80936415 0.78943 0.79939699 0.100347834        
210 2.10 3.84 0.78942983 0.768322 0.77887613 0.097771862        
211 2.11 3.80 0.76832243 0.746086 0.75720401 0.095051374        
212 2.12 3.75 0.74608559 0.722777 0.7344313 0.092192729        
213 2.13 3.71 0.72277701 0.698468 0.71062261 0.089204039        
214 2.14 3.67 0.69846821 0.673244 0.68585615 0.086095119        
215 2.15 3.63 0.67324409 0.647202 0.66022313 0.082877421        
216 2.16 3.58 0.64720216 0.620451 0.6338268 0.079563906        
217 2.17 3.54 0.62045145 0.593111 0.60678133 0.076168904        
218 2.18 3.50 0.59311122 0.565309 0.57921029 0.072707927        
219 2.19 3.46 0.56530936 0.537181 0.55124499 0.06919746        
220 2.20 3.41 0.53718062 0.508865 0.52302264 0.065654724        
221 2.21 3.37 0.50886465 0.480504 0.49468429 0.062097428        
222 2.22 3.33 0.48050392 0.452242 0.46637275 0.058543497        
223 2.23 3.29 0.45224157 0.424219 0.43823042 0.055010807        
224 2.24 3.24 0.42421927 0.396575 0.41039717 0.051516915        
225 2.25 3.20 0.39657506 0.369441 0.3830082 0.048078794        
226 2.26 3.16 0.36944134 0.342943 0.35619215 0.044712591        
227 2.27 3.11 0.34294296 0.317196 0.33006924 0.041433398        
228 2.28 3.07 0.31719552 0.292304 0.3047497 0.038255051        
229 2.29 3.03 0.29230388 0.268361 0.2803324 0.035189961        
230 2.30 2.99 0.26836092 0.245447 0.25690376 0.032248977        
231 2.31 2.94 0.24544660 0.223627 0.23453694 0.029441285        
232 2.32 2.90 0.22362729 0.202955 0.21329136 0.026774339        
233 2.33 2.86 0.20295543 0.183469 0.19321242 0.024253842        
234 2.34 2.82 0.18346942 0.165194 0.17433162 0.021883746        
235 2.35 2.77 0.16519383 0.14814 0.15666687 0.0196663        
236 2.36 2.73 0.14813990 0.132306 0.14022306 0.017602118        
237 2.37 2.69 0.13230621 0.11768 0.12499289 0.015690284        
238 2.38 2.65 0.11767956 0.104236 0.11095782 0.013928469        
239 2.39 2.60 0.10423607 0.091942 0.09808919 0.012313078        
240 2.40 2.56 0.09194232 0.080757 0.08634949 0.0108394        
241 2.41 2.52 0.08075666 0.070631 0.0756936 0.009501773        
242 2.42 2.47 0.07063054 0.06151 0.06607017 0.008293749        
243 2.43 2.43 0.06150980 0.053336 0.05742293 0.007208266        
244 2.44 2.39 0.05333605 0.046048 0.04969198 0.006237805        
245 2.45 2.35 0.04604790 0.039582 0.04281503 0.005374546        
246 2.46 2.30 0.03958216 0.033875 0.03672856 0.004610514        
247 2.47 2.26 0.03387495 0.028863 0.03136882 0.003937709        
248 2.48 2.22 0.02886268 0.024483 0.0266728 0.003348221        
249 2.49 2.18 0.02448293 0.020675 0.02257904 0.002834334        
250 2.50 2.13 0.02067516 0.017381 0.01902827 0.002388608        
251 2.51 2.09 0.01738138 0.014547 0.01596397 0.002003948        
252 2.52 2.05 0.01454657 0.012119 0.01333282 0.001673661        
253 2.53 2.01 0.01211907 0.010051 0.01108496 0.001391488        
254 2.54 1.96 0.01005084 0.008298 0.00917422 0.001151635        
255 2.55 1.92 0.00829760 0.006819 0.00755823 0.00094878        
256 2.56 1.88 0.00681886 0.005578 0.0061984 0.000778082        
257 2.57 1.83 0.00557794 0.004542 0.00505989 0.000635165        
258 2.58 1.79 0.00454184 0.003681 0.00411147 0.000516111        
259 2.59 1.75 0.00368111 0.00297 0.00332539 0.000417434        
260 2.60 1.71 0.00296967 0.002385 0.00267714 0.00033606        
261 2.61 1.66 0.00238461 0.001906 0.00214524 0.000269291        
262 2.62 1.62 0.00190588 0.001516 0.00171102 0.000214783        
263 2.63 1.58 0.00151615 0.0012 0.00135831 0.000170508        
264 2.64 1.54 0.00120046 0.000946 0.00107326 0.000134725        
265 2.65 1.49 0.00094605 0.000742 0.00084405 0.000105952        
266 2.66 1.45 0.00074204 0.000579 0.00066066 8.29326E-05        
267 2.67 1.41 0.00057928 0.00045 0.00051469 6.46082E-05        
268 2.68 1.37 0.00045009 0.000348 0.00039907 5.00948E-05        
269 2.69 1.32 0.00034805 0.000268 0.00030796 3.86578E-05        
270 2.70 1.28 0.00026787 0.000205 0.00023652 2.96905E-05        
271 2.71 1.24 0.00020518 0.000156 0.00018079 2.2695E-05        
272 2.72 1.19 0.00015641 0.000119 0.00013754 1.72651E-05        
273 2.73 1.15 0.00011867 8.96E-05 0.00010413 1.30718E-05        
274 2.74 1.11 0.00008960 6.73E-05 7.8465E-05 9.84964E-06        
275 2.75 1.07 0.00006733 5.04E-05 5.8841E-05 7.38626E-06        
276 2.76 1.02 0.00005035 3.75E-05 4.3913E-05 5.51243E-06        
277 2.77 0.98 0.00003747 2.78E-05 3.2616E-05 4.09425E-06        
278 2.78 0.94 0.00002776 2.05E-05 2.4108E-05 3.02632E-06        
279 2.79 0.90 0.00002046 1.5E-05 1.7734E-05 2.22619E-06        
280 2.80 0.85 0.00001501 1.1E-05 1.2983E-05 1.62972E-06        
281 2.81 0.81 0.00001096 7.96E-06 9.4584E-06 1.18731E-06        
282 2.82 0.77 0.00000796 5.76E-06 6.8576E-06 8.60827E-07        
283 2.83 0.73 0.00000576 4.14E-06 4.9479E-06 6.21103E-07        
284 2.84 0.68 0.00000414 2.96E-06 3.5527E-06 4.45969E-07        
285 2.85 0.64 0.00000296 2.11E-06 2.5386E-06 3.18668E-07        
286 2.86 0.60 0.00000211 1.5E-06 1.8052E-06 2.26601E-07        
287 2.87 0.55 0.00000150 1.06E-06 1.2774E-06 1.60352E-07        
288 2.88 0.51 0.00000106 7.42E-07 8.9955E-07 1.1292E-07        
289 2.89 0.47 0.00000074 5.19E-07 6.3039E-07 7.91319E-08        
290 2.90 0.43 0.00000052 3.61E-07 4.3961E-07 5.51842E-08        
291 2.91 0.38 0.00000036 2.5E-07 3.0508E-07 3.82965E-08        
292 2.92 0.34 0.00000025 1.72E-07 2.1069E-07 2.64472E-08        
293 2.93 0.30 0.00000017 1.18E-07 1.4479E-07 1.81752E-08        
294 2.94 0.26 0.00000012 8.03E-08 9.9017E-08 1.24295E-08        
295 2.95 0.21 0.00000008 5.45E-08 6.7384E-08 8.45866E-09        
296 2.96 0.17 0.00000005 3.68E-08 4.5633E-08 5.72824E-09        
297 2.97 0.13 0.00000004 2.47E-08 3.0752E-08 3.86022E-09        
298 2.98 0.09 0.00000002 1.65E-08 2.0622E-08 2.58864E-09        
299 2.99 0.04 0.00000002 1.1E-08 1.3761E-08 1.72743E-09        
300 3.00 0.00 0.00000001 7.28E-09 9.138E-09 1.14708E-09        
        SUM   27.65569853        

 

FHWA-HRT-05-138

 

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