Skip to contentUnited States Department of Transportation - Federal Highway Administration Go to TFHRC homeGo to FHWA websiteFeedback
TFHRC Home > Safety > Safety Publications > FHWA-HRT-05-138

Shared-Use Path Level of Service Calculator

Meetings Pedestrian

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)= 1.124
Qo= 31.08 vph   Ko=   9.141176 veh/mile        
MU 3.40 mph   No=   27  veh        
SIGMA 0.60 mph   ALPHAO= 0.1094 miles        
U= 12.8 mph                  
X= 3 miles   AVERAGE TOTAL MEETINGS= 34.71   PER HOUR= 148.09
        STANDARD DEVIATION= 5.89     1
        DETERMINISTIC  EQUATION= 34.71      
I=1 ALPHA V(X) F(VX) F(Vx+DX) F N MEETINGS        
    0       27.42353          
1 0.01 0.042667 0.99999999 1 1 0.091412          
2 0.02 0.085333 0.99999999 1 1 0.091412          
3 0.03 0.128 0.99999998 1 1 0.091412          
4 0.04 0.170667 0.99999998 1 1 0.091412          
5 0.05 0.213333 0.99999996 1 1 0.091412          
6 0.06 0.256 0.99999995 1 1 0.091412          
7 0.07 0.298667 0.99999992 1 1 0.091412          
8 0.08 0.341333 0.99999988 1 1 0.091412          
9 0.09 0.384 0.99999983 1 1 0.091412          
10 0.1 0.426667 0.99999975 1 1 0.091412          
11 0.11 0.469333 0.99999964 0.999999 1 0.091412          
12 0.12 0.512 0.99999948 0.999999 0.999999 0.091412          
13 0.13 0.554667 0.99999926 0.999999 0.999999 0.091412          
14 0.14 0.597333 0.99999894 0.999999 0.999999 0.091412          
15 0.15 0.64 0.9999985 0.999998 0.999998 0.091412          
16 0.16 0.682667 0.99999789 0.999997 0.999997 0.091412          
17 0.17 0.725333 0.99999703 0.999996 0.999996 0.091411          
18 0.18 0.768 0.99999586 0.999994 0.999995 0.091411          
19 0.19 0.810667 0.99999424 0.999992 0.999993 0.091411          
20 0.2 0.853333 0.99999203 0.999989 0.999991 0.091411          
21 0.21 0.896 0.99998904 0.999985 0.999987 0.091411          
22 0.22 0.938667 0.99998498 0.99998 0.999982 0.09141          
23 0.23 0.981333 0.99997953 0.999972 0.999976 0.09141          
24 0.24 1.024 0.99997223 0.999963 0.999967 0.091409          
25 0.25 1.066667 0.99996251 0.99995 0.999956 0.091408          
26 0.26 1.109333 0.99994963 0.999933 0.999941 0.091406          
27 0.27 1.152 0.99993265 0.99991 0.999922 0.091405          
28 0.28 1.194667 0.99991037 0.999881 0.999896 0.091402          
29 0.29 1.237333 0.9998813 0.999844 0.999862 0.091399          
30 0.3 1.28 0.99984355 0.999795 0.999819 0.091395          
31 0.31 1.322667 0.99979478 0.999732 0.999763 0.09139          
32 0.32 1.365333 0.99973209 0.999652 0.999692 0.091384          
33 0.33 1.408 0.9996519 0.99955 0.999601 0.091375          
34 0.34 1.450667 0.99954986 0.999421 0.999485 0.091365          
35 0.35 1.493333 0.99942065 0.999258 0.999339 0.091351          
36 0.36 1.536 0.99925789 0.999054 0.999156 0.091335          
37 0.37 1.578667 0.99905388 0.998799 0.998927 0.091314          
38 0.38 1.621333 0.99879947 0.998484 0.998642 0.091288          
39 0.39 1.664 0.99848378 0.998094 0.998289 0.091255          
40 0.4 1.706667 0.99809405 0.997615 0.997855 0.091216          
41 0.41 1.749333 0.99761533 0.99703 0.997323 0.091167          
42 0.42 1.792 0.99703027 0.996319 0.996675 0.091108          
43 0.43 1.834667 0.99631885 0.995458 0.995888 0.091036          
44 0.44 1.877333 0.99545813 0.994422 0.99494 0.090949          
45 0.45 1.92 0.99442204 0.993181 0.993802 0.090845          
46 0.46 1.962667 0.99318113 0.991702 0.992442 0.090721          
47 0.47 2.005333 0.99170241 0.989949 0.990826 0.090573          
48 0.48 2.048 0.98994918 0.987881 0.988915 0.090398          
49 0.49 2.090667 0.98788097 0.985453 0.986667 0.090193          
50 0.5 2.133333 0.98545348 0.982619 0.984036 0.089952          
51 0.51 2.176 0.98261868 0.979325 0.980972 0.089672          
52 0.52 2.218667 0.97932491 0.975517 0.977421 0.089348          
53 0.53 2.261333 0.97551714 0.971137 0.973327 0.088974          
54 0.54 2.304 0.97113739 0.966125 0.968631 0.088544          
55 0.55 2.346667 0.96612511 0.960418 0.963271 0.088054          
56 0.56 2.389333 0.96041788 0.953952 0.957185 0.087498          
57 0.57 2.432 0.95395212 0.946664 0.950308 0.086869          
58 0.58 2.474667 0.94666395 0.93849 0.942577 0.086163          
59 0.59 2.517333 0.93849018 0.929369 0.93393 0.085372          
60 0.6 2.56 0.92936943 0.919243 0.924306 0.084492          
61 0.61 2.602667 0.91924329 0.908058 0.91365 0.083518          
62 0.62 2.645333 0.90805762 0.895764 0.901911 0.082445          
63 0.63 2.688 0.89576387 0.88232 0.889042 0.081269          
64 0.64 2.730667 0.88232038 0.867694 0.875007 0.079986          
65 0.65 2.773333 0.86769374 0.85186 0.859777 0.078594          
66 0.66 2.816 0.85186007 0.834806 0.843333 0.077091          
67 0.67 2.858667 0.83480617 0.816531 0.825668 0.075476          
68 0.68 2.901333 0.81653062 0.797045 0.806788 0.07375          
69 0.69 2.944 0.79704463 0.776373 0.786709 0.071914          
70 0.7 2.986667 0.77637278 0.754553 0.765463 0.069972          
71 0.71 3.029333 0.75455348 0.731639 0.743096 0.067928          
72 0.72 3.072 0.73163914 0.707696 0.719668 0.065786          
73 0.73 3.114667 0.70769615 0.682804 0.69525 0.063554          
74 0.74 3.157333 0.68280447 0.657057 0.669931 0.06124          
75 0.75 3.2 0.657057 0.630559 0.643808 0.058852          
76 0.76 3.242667 0.6305586 0.603425 0.616992 0.0564          
77 0.77 3.285333 0.60342488 0.575781 0.589603 0.053897          
78 0.78 3.328 0.57578071 0.547758 0.56177 0.051352          
79 0.79 3.370667 0.54775847 0.519496 0.533627 0.04878          
80 0.8 3.413333 0.51949615 0.491135 0.505316 0.046192          
81 0.81 3.456 0.4911353 0.462819 0.476977 0.043601          
82 0.82 3.498667 0.46281931 0.434691 0.448755 0.041021          
83 0.83 3.541333 0.43469063 0.406889 0.42079 0.038465          
84 0.84 3.584 0.40688883 0.379549 0.393219 0.035945          
85 0.85 3.626667 0.37954862 0.352798 0.366173 0.033473          
86 0.86 3.669333 0.3527979 0.326756 0.339777 0.03106          
87 0.87 3.712 0.32675593 0.301532 0.314144 0.028716          
88 0.88 3.754667 0.30153177 0.277223 0.289377 0.026452          
89 0.89 3.797333 0.27722294 0.253914 0.265569 0.024276          
90 0.9 3.84 0.25391434 0.231678 0.242796 0.022194          
91 0.91 3.882667 0.2316775 0.21057 0.221124 0.020213          
92 0.92 3.925333 0.21057011 0.190636 0.200603 0.018337          
93 0.93 3.968 0.19063581 0.171904 0.18127 0.01657          
94 0.94 4.010667 0.17190432 0.154392 0.163148 0.014914          
95 0.95 4.053333 0.1543918 0.138101 0.146247 0.013369          
96 0.96 4.096 0.13810148 0.123024 0.130563 0.011935          
97 0.97 4.138667 0.12302446 0.109141 0.116083 0.010611          
98 0.98 4.181333 0.10914072 0.09642 0.10278 0.009395          
99 0.99 4.224 0.09642028 0.084824 0.090622 0.008284          
100 1 4.266667 0.08482443 0.074307 0.079566 0.007273          
101 1.01 4.309333 0.07430704 0.064816 0.069561 0.006359          
102 1.02 4.352 0.06481591 0.056294 0.060555 0.005535          
103 1.03 4.394667 0.05629408 0.048681 0.052488 0.004798          
104 1.04 4.437333 0.04868114 0.041914 0.045298 0.004141          
105 1.05 4.48 0.04191445 0.03593 0.038922 0.003558          
106 1.06 4.522667 0.03593027 0.030665 0.033298 0.003044          
107 1.07 4.565333 0.03066478 0.026055 0.02836 0.002592          
108 1.08 4.608 0.02605503 0.02204 0.024047 0.002198          
109 1.09 4.650667 0.02203972 0.01856 0.0203 0.001856          
110 1.1 4.693333 0.01855981 0.015559 0.017059 0.001559          
111 1.11 4.736 0.01555914 0.012985 0.014272 0.001305          
112 1.12 4.778667 0.01298474 0.010787 0.011886 0.001087          
113 1.13 4.821333 0.01078719 0.008921 0.009854 0.000901          
114 1.14 4.864 0.00892079 0.007344 0.008132 0.000743          
115 1.15 4.906667 0.00734363 0.006018 0.006681 0.000611          
116 1.16 4.949333 0.00601761 0.004908 0.005463 0.000499          
117 1.17 4.992 0.00490835 0.003985 0.004447 0.000406          
118 1.18 5.034667 0.0039851 0.003221 0.003603 0.000329          
119 1.19 5.077333 0.00322054 0.002591 0.002906 0.000266          
120 1.2 5.12 0.00259059 0.002074 0.002332 0.000213          
121 1.21 5.162667 0.00207416 0.001653 0.001864 0.00017          
122 1.22 5.205333 0.00165294 0.001311 0.001482 0.000135          
123 1.23 5.248 0.00131109 0.001035 0.001173 0.000107          
124 1.24 5.290667 0.00103507 0.000813 0.000924 8.45E-05          
125 1.25 5.333333 0.00081332 0.000636 0.000725 6.62E-05          
126 1.26 5.376 0.00063607 0.000495 0.000566 5.17E-05          
127 1.27 5.418667 0.00049509 0.000384 0.000439 4.02E-05          
128 1.28 5.461333 0.00038354 0.000296 0.00034 3.1E-05          
129 1.29 5.504 0.00029572 0.000227 0.000261 2.39E-05          
130 1.3 5.546667 0.00022692 0.000173 0.0002 1.83E-05          
131 1.31 5.589333 0.0001733 0.000132 0.000153 1.39E-05          
132 1.32 5.632 0.00013172 9.96E-05 0.000116 1.06E-05          
133 1.33 5.674667 9.9641E-05 7.5E-05 8.73E-05 7.98E-06          
134 1.34 5.717333 7.5012E-05 5.62E-05 6.56E-05 6E-06          
135 1.35 5.76 5.6201E-05 4.19E-05 4.91E-05 4.48E-06          
136 1.36 5.802667 4.1906E-05 3.11E-05 3.65E-05 3.34E-06          
137 1.37 5.845333 3.1096E-05 2.3E-05 2.7E-05 2.47E-06          
138 1.38 5.888 2.2964E-05 1.69E-05 1.99E-05 1.82E-06          
139 1.39 5.930667 1.6877E-05 1.23E-05 1.46E-05 1.34E-06          
140 1.4 5.973333 1.2344E-05 8.98E-06 1.07E-05 9.75E-07          
141 1.41 6.016 8.9848E-06 6.51E-06 7.75E-06 7.08E-07          
142 1.42 6.058667 6.5082E-06 4.69E-06 5.6E-06 5.12E-07          
143 1.43 6.101333 4.6914E-06 3.37E-06 4.03E-06 3.68E-07          
144 1.44 6.144 3.3654E-06 2.4E-06 2.88E-06 2.64E-07          
145 1.45 6.186667 2.4025E-06 1.71E-06 2.05E-06 1.88E-07          
146 1.46 6.229333 1.7068E-06 1.21E-06 1.46E-06 1.33E-07          
147 1.47 6.272 1.2067E-06 8.49E-07 1.03E-06 9.4E-08          
148 1.48 6.314667 8.4895E-07 5.94E-07 7.22E-07 6.6E-08          
149 1.49 6.357333 5.9437E-07 4.14E-07 5.04E-07 4.61E-08          
150 1.5 6.4 4.141E-07 2.87E-07 3.51E-07 3.2E-08          
151 1.51 6.442667 2.871E-07 1.98E-07 2.43E-07 2.22E-08          
152 1.52 6.485333 1.9808E-07 1.36E-07 1.67E-07 1.53E-08          
153 1.53 6.528 1.36E-07 9.29E-08 1.14E-07 1.05E-08          
154 1.54 6.570667 9.2918E-08 6.32E-08 7.8E-08 7.13E-09          
155 1.55 6.613333 6.3173E-08 4.27E-08 5.3E-08 4.84E-09          
156 1.56 6.656 4.274E-08 2.88E-08 3.58E-08 3.27E-09          
157 1.57 6.698667 2.8775E-08 1.93E-08 2.4E-08 2.2E-09          
158 1.58 6.741333 1.9278E-08 1.29E-08 1.61E-08 1.47E-09          
159 1.59 6.784 1.2852E-08 8.53E-09 1.07E-08 9.77E-10          
160 1.6 6.826667 8.5259E-09 5.63E-09 7.08E-09 6.47E-10          
161 1.61 6.869333 5.6284E-09 3.7E-09 4.66E-09 4.26E-10          
162 1.62 6.912 3.6973E-09 2.42E-09 3.06E-09 2.79E-10          
163 1.63 6.954667 2.4169E-09 1.57E-09 1.99E-09 1.82E-10          
164 1.64 6.997333 1.5721E-09 1.02E-09 1.29E-09 1.18E-10          
165 1.65 7.04 1.0176E-09 6.55E-10 8.36E-10 7.65E-11          
166 1.66 7.082667 6.5541E-10 4.2E-10 5.38E-10 4.92E-11          
167 1.67 7.125333 4.2006E-10 2.68E-10 3.44E-10 3.14E-11          
168 1.68 7.168 2.679E-10 1.7E-10 2.19E-10 2E-11          
169 1.69 7.210667 1.7002E-10 1.07E-10 1.39E-10 1.27E-11          
170 1.7 7.253333 1.0736E-10 6.75E-11 8.74E-11 7.99E-12          
171 1.71 7.296 6.7465E-11 4.22E-11 5.48E-11 5.01E-12          
172 1.72 7.338667 4.2185E-11 2.62E-11 3.42E-11 3.13E-12          
173 1.73 7.381333 2.6247E-11 1.63E-11 2.12E-11 1.94E-12          
174 1.74 7.424 1.625E-11 1E-11 1.31E-11 1.2E-12          
175 1.75 7.466667 1.0011E-11 6.14E-12 8.07E-12 7.38E-13          
176 1.76 7.509333 6.1371E-12 3.74E-12 4.94E-12 4.52E-13          
177 1.77 7.552 3.7436E-12 2.27E-12 3.01E-12 2.75E-13          
178 1.78 7.594667 2.2723E-12 1.37E-12 1.82E-12 1.67E-13          
179 1.79 7.637333 1.3725E-12 8.25E-13 1.1E-12 1E-13