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Shared-Use Path Level of Service Calculator

Active Runner

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL        
                     
ACTIVE PASSINGS WORKSHEET            
        Travel time= 14.06 min      
Q= 15.54 vph   K=   2.390769231 vpm      
MU 6.50 mph   N=   7 veh      
SIGMA 1.20 mph                
U= 12.8 mph                
X= 3 miles   ACTIVE PASSINGS TOTALS= 3.53   PER HOUR= 15.06
BETA 1 (<= 1.0) STANDARD DEVIATION= 1.88     1
        DETERMINISTIC (FOR MU <<<< U)= 3.53      
                     
I= ALPHA V(X) F(VX) F(Vx+DX) F N PASS-ACTIVE      
    12.80                
1 0.01 12.76 0.99999992 1 0.99999992 0.02390769        
2 0.02 12.71 0.999999908 1 0.9999999 0.02390769        
3 0.03 12.67 0.999999888 1 0.99999988 0.023907689        
4 0.04 12.63 0.999999865 1 0.99999985 0.023907689        
5 0.05 12.59 0.999999837 1 0.99999982 0.023907688        
6 0.06 12.54 0.999999803 1 0.99999978 0.023907687        
7 0.07 12.50 0.999999763 1 0.99999974 0.023907686        
8 0.08 12.46 0.999999715 1 0.99999969 0.023907685        
9 0.09 12.42 0.999999657 1 0.99999962 0.023907683        
10 0.1 12.37 0.999999588 1 0.99999955 0.023907681        
11 0.11 12.33 0.999999506 0.999999 0.99999946 0.023907679        
12 0.12 12.29 0.999999409 0.999999 0.99999935 0.023907677        
13 0.13 12.25 0.999999293 0.999999 0.99999922 0.023907674        
14 0.14 12.20 0.999999156 0.999999 0.99999907 0.02390767        
15 0.15 12.16 0.999998993 0.999999 0.9999989 0.023907666        
16 0.16 12.12 0.9999988 0.999999 0.99999869 0.023907661        
17 0.17 12.07 0.999998572 0.999998 0.99999844 0.023907655        
18 0.18 12.03 0.999998302 0.999998 0.99999814 0.023907648        
19 0.19 11.99 0.999997985 0.999998 0.9999978 0.02390764        
20 0.2 11.95 0.99999761 0.999997 0.99999739 0.02390763        
21 0.21 11.90 0.99999717 0.999997 0.99999691 0.023907618        
22 0.22 11.86 0.999996652 0.999996 0.99999635 0.023907605        
23 0.23 11.82 0.999996045 0.999995 0.99999569 0.023907589        
24 0.24 11.78 0.999995333 0.999994 0.99999492 0.023907571        
25 0.25 11.73 0.999994499 0.999994 0.99999401 0.023907549        
26 0.26 11.69 0.999993525 0.999992 0.99999296 0.023907524        
27 0.27 11.65 0.999992387 0.999991 0.99999172 0.023907494        
28 0.28 11.61 0.99999106 0.99999 0.99999029 0.02390746        
29 0.29 11.56 0.999989515 0.999988 0.99998862 0.02390742        
30 0.3 11.52 0.999987717 0.999986 0.99998667 0.023907374        
31 0.31 11.48 0.999985628 0.999983 0.99998442 0.02390732        
32 0.32 11.43 0.999983204 0.99998 0.9999818 0.023907257        
33 0.33 11.39 0.999980396 0.999977 0.99997877 0.023907185        
34 0.34 11.35 0.999977145 0.999973 0.99997527 0.023907101        
35 0.35 11.31 0.999973388 0.999969 0.99997122 0.023907004        
36 0.36 11.26 0.999969049 0.999964 0.99996655 0.023906893        
37 0.37 11.22 0.999964048 0.999958 0.99996117 0.023906764        
38 0.38 11.18 0.999958288 0.999952 0.99995498 0.023906616        
39 0.39 11.14 0.999951663 0.999944 0.99994786 0.023906446        
40 0.4 11.09 0.999944054 0.999935 0.99993969 0.02390625        
41 0.41 11.05 0.999935324 0.999925 0.99993032 0.023906027        
42 0.42 11.01 0.999925323 0.999914 0.9999196 0.02390577        
43 0.43 10.97 0.999913877 0.999901 0.99990734 0.023905477        
44 0.44 10.92 0.999900797 0.999886 0.99989333 0.023905142        
45 0.45 10.88 0.999885867 0.999869 0.99987736 0.02390476        
46 0.46 10.84 0.999868846 0.999849 0.99985916 0.023904325        
47 0.47 10.79 0.999849468 0.999827 0.99983845 0.02390383        
48 0.48 10.75 0.999827432 0.999802 0.99981492 0.023903267        
49 0.49 10.71 0.999802407 0.999774 0.99978822 0.023902629        
50 0.5 10.67 0.999774023 0.999742 0.99975795 0.023901905        
51 0.51 10.62 0.999741869 0.999705 0.99972368 0.023901086        
52 0.52 10.58 0.999705491 0.999664 0.99968494 0.02390016        
53 0.53 10.54 0.999664386 0.999618 0.99964119 0.023899114        
54 0.54 10.50 0.999617998 0.999566 0.99959186 0.023897935        
55 0.55 10.45 0.999565714 0.999507 0.99953629 0.023896606        
56 0.56 10.41 0.999506859 0.999441 0.99947378 0.023895111        
57 0.57 10.37 0.999440692 0.999366 0.99940354 0.023893432        
58 0.58 10.33 0.999366397 0.999283 0.99932474 0.023891548        
59 0.59 10.28 0.999283082 0.99919 0.99923643 0.023889437        
60 0.6 10.24 0.999189769 0.999085 0.99913758 0.023887074        
61 0.61 10.20 0.999085391 0.998969 0.99902709 0.023884432        
62 0.62 10.15 0.998968783 0.998839 0.99890373 0.023881483        
63 0.63 10.11 0.998838677 0.998694 0.99876618 0.023878195        
64 0.64 10.07 0.998693692 0.998532 0.99861301 0.023874533        
65 0.65 10.03 0.998532333 0.998353 0.99844265 0.02387046        
66 0.66 9.98 0.998352976 0.998154 0.99825342 0.023865936        
67 0.67 9.94 0.998153866 0.997933 0.99804349 0.023860917        
68 0.68 9.90 0.997933106 0.997689 0.99781088 0.023855355        
69 0.69 9.86 0.997688652 0.997418 0.99755348 0.023849202        
70 0.7 9.81 0.997418301 0.99712 0.997269 0.0238424        
71 0.71 9.77 0.99711969 0.99679 0.99695498 0.023834893        
72 0.72 9.73 0.996790279 0.996427 0.99660882 0.023826617        
73 0.73 9.69 0.996427351 0.996028 0.99622768 0.023817505        
74 0.74 9.64 0.996028001 0.995589 0.99580857 0.023807485        
75 0.75 9.60 0.995589129 0.995107 0.99534828 0.02379648        
76 0.76 9.56 0.995107433 0.994579 0.99484342 0.02378441        
77 0.77 9.51 0.994579401 0.994001 0.99429035 0.023771188        
78 0.78 9.47 0.994001307 0.993369 0.99368526 0.023756721        
79 0.79 9.43 0.993369206 0.992679 0.99302406 0.023740914        
80 0.8 9.39 0.992678924 0.991926 0.99230249 0.023723663        
81 0.81 9.34 0.991926058 0.991106 0.99151601 0.02370486        
82 0.82 9.30 0.991105971 0.990214 0.99065988 0.023684392        
83 0.83 9.26 0.990213791 0.989244 0.9897291 0.023662139        
84 0.84 9.22 0.989244404 0.988192 0.98871843 0.023637976        
85 0.85 9.17 0.988192462 0.987052 0.98762242 0.023611773        
86 0.86 9.13 0.987052375 0.985818 0.98643535 0.023583393        
87 0.87 9.09 0.985818318 0.984484 0.98515128 0.023552694        
88 0.88 9.05 0.984484233 0.983044 0.98376403 0.023519528        
89 0.89 9.00 0.983043834 0.981491 0.98226722 0.023483743        
90 0.9 8.96 0.981490614 0.979818 0.98065423 0.02344518        
91 0.91 8.92 0.979817852 0.978019 0.97891824 0.023403676        
92 0.92 8.87 0.978018623 0.976086 0.97705222 0.023359064        
93 0.93 8.83 0.976085811 0.974012 0.97504897 0.023311171        
94 0.94 8.79 0.974012121 0.97179 0.97290111 0.02325982        
95 0.95 8.75 0.971790095 0.969412 0.97060111 0.023204833        
96 0.96 8.70 0.969412131 0.966871 0.96814132 0.023146025        
97 0.97 8.66 0.9668705 0.964157 0.96551393 0.02308321        
98 0.98 8.62 0.964157369 0.961265 0.9627111 0.023016201        
99 0.99 8.58 0.961264826 0.958185 0.95972486 0.022944807        
100 1 8.53 0.958184901 0.95491 0.95654725 0.022868837        
101 1.01 8.49 0.954909599 0.951431 0.95317026 0.022788101        
102 1.02 8.45 0.951430928 0.947741 0.94958593 0.022702408        
103 1.03 8.41 0.947740925 0.943832 0.94578631 0.022611568        
104 1.04 8.36 0.943831699 0.939695 0.94176358 0.022515394        
105 1.05 8.32 0.939695457 0.935325 0.93751 0.022413701        
106 1.06 8.28 0.935324545 0.930711 0.93301801 0.022306308        
107 1.07 8.23 0.930711483 0.925849 0.92828025 0.022193038        
108 1.08 8.19 0.925849008 0.92073 0.92328956 0.022073723        
109 1.09 8.15 0.920730109 0.915348 0.91803909 0.021948196        
110 1.1 8.11 0.91534807 0.909697 0.91252229 0.021816302        
111 1.11 8.06 0.909696515 0.903769 0.90673298 0.021677893        
112 1.12 8.02 0.903769442 0.897561 0.90066536 0.02153283        
113 1.13 7.98 0.897561274 0.891067 0.89431408 0.021380986        
114 1.14 7.94 0.891066893 0.884282 0.88767429 0.021222244        
115 1.15 7.89 0.884281687 0.877202 0.88074164 0.0210565        
116 1.16 7.85 0.877201586 0.869823 0.87351235 0.020883664        
117 1.17 7.81 0.869823108 0.862143 0.86598325 0.020703661        
118 1.18 7.77 0.86214339 0.85416 0.85815181 0.020516429        
119 1.19 7.72 0.854160232 0.845872 0.85001618 0.020321925        
120 1.2 7.68 0.845872127 0.837278 0.84157521 0.020120121        
121 1.21 7.64 0.837278296 0.828379 0.83282851 0.019911008        
122 1.22 7.59 0.828378717 0.819174 0.82377644 0.019694594        
123 1.23 7.55 0.819174155 0.809666 0.81442017 0.019470907        
124 1.24 7.51 0.809666184 0.799857 0.8047617 0.019239995        
125 1.25 7.47 0.799857208 0.78975 0.79480385 0.019001926        
126 1.26 7.42 0.789750483 0.77935 0.7845503 0.018756787        
127 1.27 7.38 0.779350124 0.768661 0.77400562 0.018504688        
128 1.28 7.34 0.76866112 0.757689 0.76317523 0.018245759        
129 1.29 7.30 0.757689338 0.746442 0.75206543 0.017980149        
130 1.3 7.25 0.746441523 0.734925 0.74068341 0.017708031        
131 1.31 7.21 0.734925299 0.723149 0.72903723 0.017429598        
132 1.32 7.17 0.723149155 0.711122 0.7171358 0.017145062        
133 1.33 7.13 0.711122437 0.698855 0.70498888 0.016854657        
134 1.34 7.08 0.698855332 0.686359 0.69260709 0.016558637        
135 1.35 7.04 0.686358841 0.673645 0.6800018 0.016257274        
136 1.36 7.00 0.673644759 0.660726 0.6671852 0.015950858        
137 1.37 6.95 0.660725639 0.647615 0.6541702 0.0156397        
138 1.38 6.91 0.647614759 0.634326 0.64097042 0.015324124        
139 1.39 6.87 0.634326084 0.620874 0.62760015 0.015004471        
140 1.4 6.83 0.620874219 0.607274 0.61407429 0.014681099        
141 1.41 6.78 0.607274362 0.593542 0.60040831 0.014354377        
142 1.42 6.74 0.593542256 0.579694 0.58661819 0.014024687        
143 1.43 6.70 0.57969413 0.565747 0.57272039 0.013692423        
144 1.44 6.66 0.565746643 0.551717 0.55873173 0.013357986        
145 1.45 6.61 0.551716823 0.537622 0.54466941 0.013021789        
146 1.46 6.57 0.537622005 0.52348 0.53055089 0.012684247        
147 1.47 6.53 0.523479766 0.509308 0.51639381 0.012345784        
148 1.48 6.49 0.509307854 0.495124 0.50221599 0.012006825        
149 1.49 6.44 0.495124133 0.480947 0.48803537 0.011667799        
150 1.5 6.40 0.480946607 0.466793 0.47386989 0.011329136        
151 1.51 6.36 0.466793182 0.452682 0.45973741 0.010991261        
152 1.52 6.31 0.452681647 0.43863 0.44565564 0.010654598        
153 1.53 6.27 0.438629641 0.424655 0.43164211 0.010319567        
154 1.54 6.23 0.42465458 0.410774 0.41771409 0.00998658        
155 1.55 6.19 0.410773595 0.397003 0.40388853 0.009656043        
156 1.56 6.14 0.397003468 0.383361 0.39018202 0.009328352        
157 1.57 6.10 0.383360568 0.369861 0.37661068 0.009003892        
158 1.58 6.06 0.369860797 0.35652 0.36319016 0.008683039        
159 1.59 6.02 0.356519527 0.343352 0.34993554 0.008366151        
160 1.6 5.97 0.343351555 0.330371 0.3368613 0.008053576        
161 1.61 5.93 0.330371051 0.317592 0.32398128 0.007745645        
162 1.62 5.89 0.317591511 0.305026 0.31130862 0.007442671        
163 1.63 5.85 0.305025719 0.292686 0.29885572 0.00714495        
164 1.64 5.80 0.292685711 0.280583 0.28663423 0.006852763        
165 1.65 5.76 0.28058274 0.268727 0.27465499 0.006566367        
166 1.66 5.72 0.268727248 0.257129 0.26292805 0.006286003        
167 1.67 5.67 0.257128846 0.245796 0.25146257 0.00601189        
168 1.68 5.63 0.245796293 0.234737 0.24026689 0.005744227        
169 1.69 5.59 0.234737485 0.223959 0.22934846 0.005483192        
170 1.7 5.55 0.223959441 0.213468 0.21871387 0.005228944        
171 1.71 5.50 0.213468304 0.203269 0.20836882 0.004981618        
172 1.72 5.46 0.203269335 0.193367 0.19831813 0.004741329        
173 1.73 5.42 0.193366923 0.183765 0.18856576 0.004508172        
174 1.74 5.38 0.18376459 0.174465 0.1791148 0.004282221        
175 1.75 5.33 0.174465004 0.16547 0.1699675 0.004063531        
176 1.76 5.29 0.165469999 0.156781 0.16112529 0.003852134        
177 1.77 5.25 0.156780587 0.148397 0.15258879 0.003648046        
178 1.78 5.21 0.148396991 0.140319 0.14435783 0.003451263        
179 1.79 5.16 0.140318665 0.132544 0.1364315 0.003261762        
180 1.8 5.12 0.132544327 0.125072 0.12880816 0.003079506        
181 1.81 5.08 0.125071989 0.117899 0.12148549 0.002904438        
182 1.82 5.03 0.117898991 0.111022 0.11446052 0.002736487        
183 1.83 4.99 0.11102204 0.104437 0.10772964 0.002575567        
184 1.84 4.95 0.104437247 0.09814 0.10128871 0.002421579        
185 1.85 4.91 0.098140164 0.092126 0.095133 0.00227441        
186 1.86 4.86 0.092125828 0.086389 0.08925731 0.002133936        
187 1.87 4.82 0.086388799 0.080923 0.083656 0.002000022        
188 1.88 4.78 0.080923205 0.075723 0.07832299 0.001872522        
189 1.89 4.74 0.075722781 0.070781 0.07325185 0.001751283        
190 1.9 4.69 0.070780913 0.066091 0.0684358 0.001636142        
191 1.91 4.65 0.066090678 0.061645 0.06386778 0.001526931        
192 1.92 4.61 0.061644889 0.057436 0.05954051 0.001423476        
193 1.93 4.57 0.057436127 0.053457 0.05544646 0.001325597        
194 1.94 4.52 0.05345679 0.049699 0.05157796 0.00123311        
195 1.95 4.48 0.049699124 0.046155 0.04792719 0.001145829        
196 1.96 4.44 0.046155264 0.042817 0.04448627 0.001063564        
197 1.97 4.39 0.042817267 0.039677 0.04124721 0.000986126        
198 1.98 4.35 0.039677146 0.036727 0.03820203 0.000913322        
199 1.99 4.31 0.036726904 0.033959 0.03534273 0.000844963        
200 2 4.27 0.03395856 0.031364 0.03266137 0.000780858        
201 2.01 4.22 0.031364181 0.028936 0.03015004 0.000720818        
202 2.02 4.18 0.028935906 0.026666 0.02780094 0.000664656        
203 2.03 4.14 0.026665973 0.024547 0.02560635 0.000612189        
204 2.04 4.10 0.024546736 0.022571 0.02355871 0.000563234        
205 2.05 4.05 0.022570691 0.02073 0.02165059 0.000517616        
206 2.06 4.01 0.020730491 0.019019 0.01987473 0.000475159        
207 2.07 3.97 0.019018961 0.017429 0.01822404 0.000435695        
208 2.08 3.93 0.017429116 0.015954 0.01669164 0.000399059        
209 2.09 3.88 0.01595417 0.014588 0.01527086 0.000365091        
210 2.1 3.84 0.014587548