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Shared-Use Path Level of Service Calculator

Meetings Bicyclist

ANALYSIS AND REFORMULATION OF BOTMA'S EQUATIONS FOR  PASSINGS AND MEETINGS
APRIL 2003       N.ROUPHAIL          
MEETINGS WORKSHEET                
        Travel Time=   14.06 min   MIN RECOM. X(MILES)= 4.8535
Qo= 85.47 vph   Ko=   6.677344 veh/mile        
MU 12.80 mph   No=   20  veh        
SIGMA 3.40 mph   ALPHAO= 0.1498 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 37.94   PER HOUR= 161.88
        STANDARD DEVIATION= 6.16     1
        DETERMINISTIC  EQUATION= 40.06      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       20.03203          
1 0.01 0.042667 0.9999166 0.999912 0.999914 0.066768          
2 0.02 0.085333 0.99991231 0.999908 0.99991 0.066767          
3 0.03 0.128 0.99990782 0.999903 0.999905 0.066767          
4 0.04 0.170667 0.99990311 0.999898 0.999901 0.066767          
5 0.05 0.213333 0.99989817 0.999893 0.999896 0.066766          
6 0.06 0.256 0.999893 0.999888 0.99989 0.066766          
7 0.07 0.298667 0.99988758 0.999882 0.999885 0.066766          
8 0.08 0.341333 0.99988191 0.999876 0.999879 0.066765          
9 0.09 0.384 0.99987597 0.99987 0.999873 0.066765          
10 0.1 0.426667 0.99986974 0.999863 0.999866 0.066765          
11 0.11 0.469333 0.99986323 0.999856 0.99986 0.066764          
12 0.12 0.512 0.99985641 0.999849 0.999853 0.066764          
13 0.13 0.554667 0.99984928 0.999842 0.999846 0.066763          
14 0.14 0.597333 0.99984181 0.999834 0.999838 0.066763          
15 0.15 0.64 0.999834 0.999826 0.99983 0.066762          
16 0.16 0.682667 0.99982583 0.999817 0.999822 0.066762          
17 0.17 0.725333 0.99981728 0.999808 0.999813 0.066761          
18 0.18 0.768 0.99980835 0.999799 0.999804 0.06676          
19 0.19 0.810667 0.999799 0.999789 0.999794 0.06676          
20 0.2 0.853333 0.99978923 0.999779 0.999784 0.066759          
21 0.21 0.896 0.99977902 0.999768 0.999774 0.066758          
22 0.22 0.938667 0.99976835 0.999757 0.999763 0.066758          
23 0.23 0.981333 0.9997572 0.999746 0.999751 0.066757          
24 0.24 1.024 0.99974555 0.999733 0.999739 0.066756          
25 0.25 1.066667 0.99973338 0.999721 0.999727 0.066755          
26 0.26 1.109333 0.99972068 0.999707 0.999714 0.066754          
27 0.27 1.152 0.9997074 0.999694 0.9997 0.066753          
28 0.28 1.194667 0.99969355 0.999679 0.999686 0.066752          
29 0.29 1.237333 0.99967908 0.999664 0.999672 0.066752          
30 0.3 1.28 0.99966398 0.999648 0.999656 0.06675          
31 0.31 1.322667 0.99964823 0.999632 0.99964 0.066749          
32 0.32 1.365333 0.99963179 0.999615 0.999623 0.066748          
33 0.33 1.408 0.99961464 0.999597 0.999606 0.066747          
34 0.34 1.450667 0.99959674 0.999578 0.999587 0.066746          
35 0.35 1.493333 0.99957808 0.999559 0.999568 0.066745          
36 0.36 1.536 0.99955863 0.999538 0.999548 0.066743          
37 0.37 1.578667 0.99953834 0.999517 0.999528 0.066742          
38 0.38 1.621333 0.99951719 0.999495 0.999506 0.06674          
39 0.39 1.664 0.99949515 0.999472 0.999484 0.066739          
40 0.4 1.706667 0.99947218 0.999448 0.99946 0.066737          
41 0.41 1.749333 0.99944825 0.999423 0.999436 0.066736          
42 0.42 1.792 0.99942331 0.999397 0.99941 0.066734          
43 0.43 1.834667 0.99939734 0.99937 0.999384 0.066732          
44 0.44 1.877333 0.99937029 0.999342 0.999356 0.06673          
45 0.45 1.92 0.99934212 0.999313 0.999327 0.066729          
46 0.46 1.962667 0.9993128 0.999282 0.999298 0.066727          
47 0.47 2.005333 0.99928227 0.99925 0.999266 0.066724          
48 0.48 2.048 0.9992505 0.999217 0.999234 0.066722          
49 0.49 2.090667 0.99921744 0.999183 0.9992 0.06672          
50 0.5 2.133333 0.99918303 0.999147 0.999165 0.066718          
51 0.51 2.176 0.99914724 0.99911 0.999129 0.066715          
52 0.52 2.218667 0.99911002 0.999071 0.999091 0.066713          
53 0.53 2.261333 0.9990713 0.999031 0.999051 0.06671          
54 0.54 2.304 0.99903105 0.998989 0.99901 0.066707          
55 0.55 2.346667 0.99898919 0.998946 0.998967 0.066704          
56 0.56 2.389333 0.99894569 0.9989 0.998923 0.066702          
57 0.57 2.432 0.99890047 0.998853 0.998877 0.066698          
58 0.58 2.474667 0.99885348 0.998805 0.998829 0.066695          
59 0.59 2.517333 0.99880466 0.998754 0.998779 0.066692          
60 0.6 2.56 0.99875394 0.998701 0.998728 0.066688          
61 0.61 2.602667 0.99870126 0.998647 0.998674 0.066685          
62 0.62 2.645333 0.99864655 0.99859 0.998618 0.066681          
63 0.63 2.688 0.99858975 0.998531 0.99856 0.066677          
64 0.64 2.730667 0.99853077 0.99847 0.9985 0.066673          
65 0.65 2.773333 0.99846955 0.998406 0.998438 0.066669          
66 0.66 2.816 0.99840601 0.99834 0.998373 0.066665          
67 0.67 2.858667 0.99834008 0.998272 0.998306 0.06666          
68 0.68 2.901333 0.99827167 0.998201 0.998236 0.066656          
69 0.69 2.944 0.99820071 0.998127 0.998164 0.066651          
70 0.7 2.986667 0.9981271 0.998051 0.998089 0.066646          
71 0.71 3.029333 0.99805077 0.997972 0.998011 0.066641          
72 0.72 3.072 0.99797163 0.99789 0.997931 0.066635          
73 0.73 3.114667 0.99788957 0.997805 0.997847 0.06663          
74 0.74 3.157333 0.99780452 0.997716 0.99776 0.066624          
75 0.75 3.2 0.99771638 0.997625 0.997671 0.066618          
76 0.76 3.242667 0.99762503 0.99753 0.997578 0.066612          
77 0.77 3.285333 0.9975304 0.997432 0.997481 0.066605          
78 0.78 3.328 0.99743237 0.997331 0.997382 0.066599          
79 0.79 3.370667 0.99733083 0.997226 0.997278 0.066592          
80 0.8 3.413333 0.99722568 0.997117 0.997171 0.066585          
81 0.81 3.456 0.99711681 0.997004 0.99706 0.066577          
82 0.82 3.498667 0.9970041 0.996887 0.996946 0.066569          
83 0.83 3.541333 0.99688743 0.996767 0.996827 0.066562          
84 0.84 3.584 0.99676669 0.996642 0.996704 0.066553          
85 0.85 3.626667 0.99664175 0.996512 0.996577 0.066545          
86 0.86 3.669333 0.99651249 0.996379 0.996446 0.066536          
87 0.87 3.712 0.99637878 0.99624 0.99631 0.066527          
88 0.88 3.754667 0.99624048 0.996097 0.996169 0.066518          
89 0.89 3.797333 0.99609747 0.99595 0.996024 0.066508          
90 0.9 3.84 0.9959496 0.995797 0.995873 0.066498          
91 0.91 3.882667 0.99579674 0.995639 0.995718 0.066487          
92 0.92 3.925333 0.99563874 0.995475 0.995557 0.066477          
93 0.93 3.968 0.99547545 0.995307 0.995391 0.066466          
94 0.94 4.010667 0.99530672 0.995132 0.99522 0.066454          
95 0.95 4.053333 0.9951324 0.994952 0.995042 0.066442          
96 0.96 4.096 0.99495234 0.994766 0.994859 0.06643          
97 0.97 4.138667 0.99476637 0.994574 0.99467 0.066418          
98 0.98 4.181333 0.99457432 0.994376 0.994475 0.066405          
99 0.99 4.224 0.99437604 0.994171 0.994274 0.066391          
100 1 4.266667 0.99417135 0.99396 0.994066 0.066377          
101 1.01 4.309333 0.99396007 0.993742 0.993851 0.066363          
102 1.02 4.352 0.99374204 0.993517 0.99363 0.066348          
103 1.03 4.394667 0.99351706 0.993285 0.993401 0.066333          
104 1.04 4.437333 0.99328496 0.993046 0.993165 0.066317          
105 1.05 4.48 0.99304555 0.992799 0.992922 0.066301          
106 1.06 4.522667 0.99279863 0.992544 0.992671 0.066284          
107 1.07 4.565333 0.99254401 0.992281 0.992413 0.066267          
108 1.08 4.608 0.99228149 0.992011 0.992146 0.066249          
109 1.09 4.650667 0.99201088 0.991732 0.991871 0.066231          
110 1.1 4.693333 0.99173195 0.991445 0.991588 0.066212          
111 1.11 4.736 0.99144451 0.991148 0.991296 0.066192          
112 1.12 4.778667 0.99114833 0.990843 0.990996 0.066172          
113 1.13 4.821333 0.99084321 0.990529 0.990686 0.066152          
114 1.14 4.864 0.99052892 0.990205 0.990367 0.06613          
115 1.15 4.906667 0.99020524 0.989872 0.990039 0.066108          
116 1.16 4.949333 0.98987194 0.989529 0.9897 0.066086          
117 1.17 4.992 0.98952878 0.989176 0.989352 0.066062          
118 1.18 5.034667 0.98917554 0.988812 0.988994 0.066039          
119 1.19 5.077333 0.98881196 0.988438 0.988625 0.066014          
120 1.2 5.12 0.98843782 0.988053 0.988245 0.065989          
121 1.21 5.162667 0.98805286 0.987657 0.987855 0.065962          
122 1.22 5.205333 0.98765682 0.987249 0.987453 0.065936          
123 1.23 5.248 0.98724947 0.986831 0.98704 0.065908          
124 1.24 5.290667 0.98683054 0.9864 0.986615 0.06588          
125 1.25 5.333333 0.98639976 0.985957 0.986178 0.065851          
126 1.26 5.376 0.98595688 0.985502 0.985729 0.065821          
127 1.27 5.418667 0.98550163 0.985034 0.985268 0.06579          
128 1.28 5.461333 0.98503373 0.984553 0.984793 0.065758          
129 1.29 5.504 0.9845529 0.984059 0.984306 0.065725          
130 1.3 5.546667 0.98405887 0.983551 0.983805 0.065692          
131 1.31 5.589333 0.98355136 0.98303 0.983291 0.065658          
132 1.32 5.632 0.98303008 0.982495 0.982762 0.065622          
133 1.33 5.674667 0.98249474 0.981945 0.98222 0.065586          
134 1.34 5.717333 0.98194505 0.981381 0.981663 0.065549          
135 1.35 5.76 0.98138071 0.980801 0.981091 0.065511          
136 1.36 5.802667 0.98080142 0.980207 0.980504 0.065472          
137 1.37 5.845333 0.98020688 0.979597 0.979902 0.065431          
138 1.38 5.888 0.97959679 0.978971 0.979284 0.06539          
139 1.39 5.930667 0.97897084 0.978329 0.97865 0.065348          
140 1.4 5.973333 0.97832871 0.97767 0.977999 0.065304          
141 1.41 6.016 0.97767009 0.976995 0.977332 0.06526          
142 1.42 6.058667 0.97699466 0.976302 0.976648 0.065214          
143 1.43 6.101333 0.97630212 0.975592 0.975947 0.065167          
144 1.44 6.144 0.97559212 0.974864 0.975228 0.065119          
145 1.45 6.186667 0.97486435 0.974118 0.974491 0.06507          
146 1.46 6.229333 0.97411848 0.973354 0.973736 0.06502          
147 1.47 6.272 0.97335418 0.972571 0.972963 0.064968          
148 1.48 6.314667 0.97257112 0.971769 0.97217 0.064915          
149 1.49 6.357333 0.97176896 0.970947 0.971358 0.064861          
150 1.5 6.4 0.97094737 0.970106 0.970527 0.064805          
151 1.51 6.442667 0.97010601 0.969245 0.969675 0.064749          
152 1.52 6.485333 0.96924454 0.968363 0.968804 0.06469          
153 1.53 6.528 0.96836261 0.96746 0.967911 0.064631          
154 1.54 6.570667 0.96745989 0.966536 0.966998 0.06457          
155 1.55 6.613333 0.96653603 0.965591 0.966063 0.064507          
156 1.56 6.656 0.96559068 0.964624 0.965107 0.064444          
157 1.57 6.698667 0.9646235 0.963634 0.964129 0.064378          
158 1.58 6.741333 0.96363413 0.962622 0.963128 0.064311          
159 1.59 6.784 0.96262224 0.961587 0.962105 0.064243          
160 1.6 6.826667 0.96158746 0.960529 0.961058 0.064173          
161 1.61 6.869333 0.96052944 0.959448 0.959989 0.064102          
162 1.62 6.912 0.95944784 0.958342 0.958895 0.064029          
163 1.63 6.954667 0.95834231 0.957212 0.957777 0.063954          
164 1.64 6.997333 0.95721248 0.956058 0.956635 0.063878          
165 1.65 7.04 0.95605802 0.954879 0.955468 0.0638          
166 1.66 7.082667 0.95487856 0.953674 0.954276 0.06372          
167 1.67 7.125333 0.95367377 0.952443 0.953059 0.063639          
168 1.68 7.168 0.95244328 0.951187 0.951815 0.063556          
169 1.69 7.210667 0.95118674 0.949904 0.950545 0.063471          
170 1.7 7.253333 0.94990381 0.948594 0.949249 0.063385          
171 1.71 7.296 0.94859414 0.947257 0.947926 0.063296          
172 1.72 7.338667 0.94725739 0.945893 0.946575 0.063206          
173 1.73 7.381333 0.9458932 0.944501 0.945197 0.063114          
174 1.74 7.424 0.94450123 0.943081 0.943791 0.06302          
175 1.75 7.466667 0.94308115 0.941633 0.942357 0.062924          
176 1.76 7.509333 0.94163261 0.940155 0.940894 0.062827          
177 1.77 7.552 0.94015527 0.938649 0.939402 0.062727          
178 1.78 7.594667 0.9386488 0.937113 0.937881 0.062626          
179 1.79 7.637333 0.93711286 0.935547 0.93633 0.062522