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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

Delayed Passings Input Output 1

A GENERALIZED PASSING MODEL   N. ROUPHAIL   Sept. 2003  
EQUATION NUMBERS IN ( )      
Overall Input Data   Bicycle Rollerblader Child bike   Runner Ped Total      
  One-way volume vph 85.47 15.54 7.77   15.54 31.08 155.4      
  Two-way volume vph 171 31 16 0 31 62 311   Number of Lanes 3
  Mean speed mph 12.8 10.1 7.9   6.5 3.4        
  Prop. blocking two lanes 0.05 0.08 0.01   0.12 0.36     FINAL PERCENT DELAYED PASSINGS
  PHF   0.85 0.85 0.85 0.85 0.85 0.85   Subj 31.98%  
  Prop. vol. high direction 0.5 0.5 0.5 0.5 0.5 0.5   Opp 35.63%  
  Qs vph 101 18 9 0 18 37 183      
  Qo vph 101 18 9 0 18 37 183      
  366    

 

INPUT DATA   PROBABILITIES      
Being Passed Bike     COMBINED
Opposing Bike          
Xs= 100 ft Pvs 0.861757 (8)      
Qs= 101 vph Pvo 0.861757 (Op. 8)     2-Lane
Us= 12.8 mph Pbs 0.006912 (9)      
Qo= 101 vph Pbo 0.006912 (Op.9)   Subj 82.41%
Uo= 12.8 mph Pns 0.131331 (10) for 2-lane 0.138243     Opp 81.38%
FBs= 0.05   Pno 0.131331 (Op. 10) for 2-lane 0.138243        
FBo= 0.05        
  OUTPUT 3-Lane   4-Lane 2-Lane     3-Lane
    Subj 31.98%
  D= 0.00% (5)     Opp 35.63%
  Pds= 2.46% (7)   0.69% 12.35% (12)    
  Pdo= 2.46% (7)-(5)   0.69% 12.35% (Op. 11)    
    4-Lane
    Subj 24.60%
    Opp 29.00%

 

INPUT DATA   PROBABILITIES  
Being Passed Bike  
Opposing Rollerblader      
Xs= 100 ft Pvs 0.861757 (8)  
Qs= 101 vph Pvo 0.966298 (Op. 8)  
Us= 12.8 mph Pbs 0.006912 (9)  
Qo= 18 vph Pbo 0.002696 (Op.9)  
Uo= 10.1 mph Pns 0.131331 (10)   for 2-lane 0.138243
FBs= 0.05   Pno 0.031006 (Op. 10)   for 2-lane 0.033702
FBo= 0.08  
  OUTPUT 3-Lane   4-Lane 2-Lane
 
  D= 0.44% (5)  
  Pds= 1.13% (7) 0.69% 2.98% (12)
  Pdo= 0.69% (7)-(5) 0.27% 13.43% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Bike  
Opposing Child Bike      
Xs= 100 ft Pvs 0.861757 (8)  
Qs= 101 vph Pvo 0.978323 (Op. 8)  
Us= 12.8 mph Pbs 0.006912 (9)  
Qo= 9 vph Pbo 0.000217 (Op.9)  
Uo= 7.9 mph Pns 0.131331 (10) for 2-lane 0.138243  
FBs= 0.05   Pno 0.02146 (Op. 10) for 2-lane 0.021677  
FBo= 0.01  
  OUTPUT 3-Lane   4-Lane 2-Lane  
 
  D= 0.66% (5)  
  Pds= 0.98% (7) 0.69% 1.91% (12)
  Pdo= 0.32% (7)-(5) 0.02% 13.57% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Bike  
Opposing Runner      
Xs= 100 ft Pvs 0.861757 (8)  
Qs= 101 vph Pvo 0.948124 (Op. 8)  
Us= 12.8 mph Pbs 0.006912 (9)  
Qo= 18 vph Pbo 0.006225 (Op.9)  
Uo= 6.5 mph Pns 0.131331 (10) for 2-lane 0.138243  
FBs= 0.05   Pno 0.045651 (Op. 10) for 2-lane 0.051876  
FBo= 0.12  
  OUTPUT 3-Lane     4-Lane 2-Lane  
 
  D= 0.12% (5)  
  Pds= 1.37% (7) 0.69% 4.60% (12)
  Pdo= 1.25% (7)-(5) 0.62% 13.22% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Bike  
Opposing Ped      
Xs= 100 ft Pvs 0.861757 (8)  
Qs= 101 vph Pvo 0.815723 (Op. 8)  
Us= 12.8 mph Pbs 0.006912 (9)  
Qo= 37 vph Pbo 0.06634 (Op.9)  
Uo= 3.4 mph Pns 0.131331 (10) for 2-lane 0.138243  
FBs= 0.05   Pno 0.117937 (Op. 10) for 2-lane 0.184277  
FBo= 0.36  
  OUTPUT 3-Lane     4-Lane 2-Lane  
 
  D= -5.23% (5)  
  Pds= 2.98% (7) 0.69% 16.53% (12)
  Pdo= 8.22% (7)-(5) 6.63% 11.96% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Rollerblader  
Opposing Bike      
Xs= 100 ft Pvs 0.966298 (8)  
Qs= 18 vph Pvo 0.861757 (Op. 8)  
Us= 10.1 mph Pbs 0.002696 (9)  
Qo= 101 vph Pbo 0.006912 (Op.9)  
Uo= 12.8 mph Pns 0.031006 (10) for 2-lane 0.033702  
FBs= 0.08   Pno 0.131331 (Op. 10) for 2-lane 0.138243  
FBo= 0.05  
  OUTPUT 3-Lane     4-Lane 2-Lane  
 
  D= -0.44% (5)  
  Pds= 0.69% (7)   0.27% 13.43% (12)
  Pdo= 1.13% (7)-(5)   0.69% 2.98% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Rollerblader  
Opposing Rollerblader      
Xs= 100 ft Pvs 0.966298 (8)  
Qs= 18 vph Pvo 0.966298 (Op. 8)  
Us= 10.1 mph Pbs 0.002696 (9)  
Qo= 18 vph Pbo 0.002696 (Op.9)  
Uo= 10.1 mph Pns 0.031006 (10)   for 2-lane 0.033702  
FBs= 0.08   Pno 0.031006 (Op. 10)   for 2-lane 0.033702  
FBo= 0.08  
  OUTPUT 3-Lane   4-Lane 2-Lane  
 
  D= 0.00% (5)    
  Pds= 0.37% (7)   0.27% 3.26% (12)
  Pdo= 0.37% (7)-(5)   0.27% 3.26% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Rollerblader  
Opposing Child Bike      
Xs= 100 ft Pvs 0.966298 (8)  
Qs= 18 vph Pvo 0.978323 (Op. 8)  
Us= 10.1 mph Pbs 0.002696 (9)  
Qo= 9 vph Pbo 0.000217 (Op.9)  
Uo= 7.9 mph Pns 0.031006 (10)   for 2-lane 0.033702  
FBs= 0.08   Pno 0.02146 (Op. 10)   for 2-lane 0.021677  
FBo= 0.01  
  OUTPUT 3-Lane   4-Lane 2-Lane  
 
  D= 0.24% (5)  
  Pds= 0.34% (7)   0.27% 2.10% (12)
  Pdo= 0.09% (7)-(5)   0.02% 3.30% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Rollerblader  
Opposing Runner      
Xs= 100 ft Pvs 0.966298 (8)  
Qs= 18 vph Pvo 0.948124 (Op. 8)  
Us= 10.1 mph Pbs 0.002696 (9)  
Qo= 18 vph Pbo 0.006225 (Op.9)  
Uo= 6.5 mph Pns 0.031006 (10)   for 2-lane 0.033702  
FBs= 0.08   Pno 0.045651 (Op. 10)   for 2-lane 0.051876  
FBo= 0.12    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -0.35% (5)    
  Pds= 0.43% (7)   0.27% 5.03% (12)
  Pdo= 0.78% (7)-(5)   0.62% 3.21% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Rollerblader  
Opposing Ped      
Xs= 100 ft Pvs 0.966298 (8)  
Qs= 18 vph Pvo 0.815723 (Op. 8)  
Us= 10.1 mph Pbs 0.002696 (9)  
Qo= 37 vph Pbo 0.06634 (Op.9)  
Uo= 3.4 mph Pns 0.031006 (10)   for 2-lane 0.033702  
FBs= 0.08   Pno 0.117937 (Op. 10)   for 2-lane 0.184277  
FBo= 0.36    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -6.21% (5)    
  Pds= 0.82% (7)   0.27% 17.92% (12)
  Pdo= 7.03% (7)-(5)   6.63% 2.88% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Child Bike  
Opposing Bike      
Xs= 70 ft Pvs 0.984777 (8)  
Qs= 9 vph Pvo 0.901092 (Op. 8)  
Us= 7.9 mph Pbs 0.000152 (9)  
Qo= 101 vph Pbo 0.004945 (Op.9)  
Uo= 12.8 mph Pns 0.015071 (10)   for 2-lane 0.015223  
FBs= 0.01   Pno 0.093962 (Op. 10)   for 2-lane 0.098908  
FBo= 0.05    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -0.47% (5)    
  Pds= 0.16% (7)   0.02% 9.76% (12)
  Pdo= 0.64% (7)-(5)   0.49% 1.39% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Child Bike  
Opposing Rollerblader      
Xs= 70 ft Pvs 0.984777 (8)  
Qs= 9 vph Pvo 0.976288 (Op. 8)  
Us= 7.9 mph Pbs 0.000152 (9)  
Qo= 18 vph Pbo 0.001897 (Op.9)  
Uo= 10.1 mph Pns 0.015071 (10)   for 2-lane 0.015223  
FBs= 0.01   Pno 0.021815 (Op. 10)   for 2-lane 0.023712  
FBo= 0.08    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -0.17% (5)    
  Pds= 0.05% (7)   0.02% 2.34% (12)
  Pdo= 0.22% (7)-(5)   0.19% 1.49% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Child Bike  
Opposing Child Bike      
Xs= 70 ft Pvs 0.984777 (8)  
Qs= 9 vph Pvo 0.984777 (Op. 8)  
Us= 7.9 mph Pbs 0.000152 (9)  
Qo= 9 vph Pbo 0.000152 (Op.9)  
Uo= 7.9 mph Pns 0.015071 (10)   for 2-lane 0.015223  
FBs= 0.01   Pno 0.015071 (Op. 10)   for 2-lane 0.015223  
FBo= 0.01    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 0.00% (5)    
  Pds= 0.04% (7)   0.02% 1.50% (12)
  Pdo= 0.04% (7)-(5)   0.02% 1.50% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Child Bike  
Opposing Runner      
Xs= 70 ft Pvs 0.984777 (8)  
Qs= 9 vph Pvo 0.963397 (Op. 8)  
Us= 7.9 mph Pbs 0.000152 (9)  
Qo= 18 vph Pbo 0.004392 (Op.9)  
Uo= 6.5 mph Pns 0.015071 (10)   for 2-lane 0.015223  
FBs= 0.01   Pno 0.03221 (Op. 10)   for 2-lane 0.036603  
FBo= 0.12    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -0.42% (5)    
  Pds= 0.07% (7)   0.02% 3.61% (12)
  Pdo= 0.49% (7)-(5)   0.44% 1.47% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Child Bike  
Opposing Ped      
Xs= 70 ft Pvs 0.984777 (8)  
Qs= 9 vph Pvo 0.867121 (Op. 8)  
Us= 7.9 mph Pbs 0.000152 (9)  
Qo= 37 vph Pbo 0.047836 (Op.9)  
Uo= 3.4 mph Pns 0.015071 (10)   for 2-lane 0.015223  
FBs= 0.01   Pno 0.085042 (Op. 10)   for 2-lane 0.132879  
FBo= 0.36    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -4.70% (5)    
  Pds= 0.21% (7)   0.02% 13.11% (12)
  Pdo= 4.91% (7)-(5)   4.78% 1.35% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Runner  
Opposing Bike      
Xs= 70 ft Pvs 0.963397 (8)  
Qs= 18 vph Pvo 0.901092 (Op. 8)  
Us= 6.5 mph Pbs 0.004392 (9)  
Qo= 101 vph Pbo 0.004945 (Op.9)  
Uo= 12.8 mph Pns 0.03221 (10)   for 2-lane 0.036603  
FBs= 0.12   Pno 0.093962 (Op. 10)   for 2-lane 0.098908  
FBo= 0.05    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -0.08% (5)    
  Pds= 0.76% (7)   0.44% 9.57% (12)
  Pdo= 0.84% (7)-(5)   0.49% 3.34% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Runner  
Opposing Rollerblader      
Xs= 70 ft Pvs 0.963397 (8)  
Qs= 18 vph Pvo 0.976288 (Op. 8)  
Us= 6.5 mph Pbs 0.004392 (9)  
Qo= 18 vph Pbo 0.001897 (Op.9)  
Uo= 10.1 mph Pns 0.03221 (10)   for 2-lane 0.036603  
FBs= 0.12   Pno 0.021815 (Op. 10)   for 2-lane 0.023712  
FBo= 0.08    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 0.25% (5)    
  Pds= 0.52% (7)   0.44% 2.29% (12)
  Pdo= 0.27% (7)-(5)   0.19% 3.58% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Runner  
Opposing Child Bike      
Xs= 70 ft Pvs 0.963397 (8)  
Qs= 18 vph Pvo 0.984777 (Op. 8)  
Us= 6.5 mph Pbs 0.004392 (9)  
Qo= 9 vph Pbo 0.000152 (Op.9)  
Uo= 7.9 mph Pns 0.03221 (10)   for 2-lane 0.036603  
FBs= 0.12   Pno 0.015071 (Op. 10)   for 2-lane 0.015223  
FBo= 0.01    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 0.42% (5)    
  Pds= 0.49% (7)   0.44% 1.47% (12)
  Pdo= 0.07% (7)-(5)   0.02% 3.61% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Runner  
Opposing Runner      
Xs= 70 ft Pvs 0.963397 (8)  
Qs= 18 vph Pvo 0.963397 (Op. 8)  
Us= 6.5 mph Pbs 0.004392 (9)  
Qo= 18 vph Pbo 0.004392 (Op.9)  
Uo= 6.5 mph Pns 0.03221 (10)   for 2-lane 0.036603  
FBs= 0.12   Pno 0.03221 (Op. 10)   for 2-lane 0.036603  
FBo= 0.12    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 0.00% (5)    
  Pds= 0.56% (7)   0.44% 3.54% (12)
  Pdo= 0.56% (7)-(5)   0.44% 3.54% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Runner  
Opposing Ped      
Xs= 70 ft Pvs 0.963397 (8)  
Qs= 18 vph Pvo 0.867121 (Op. 8)  
Us= 6.5 mph Pbs 0.004392 (9)  
Qo= 37 vph Pbo 0.047836 (Op.9)  
Uo= 3.4 mph Pns 0.03221 (10)   for 2-lane 0.036603  
FBs= 0.12   Pno 0.085042 (Op. 10)   for 2-lane 0.132879  
FBo= 0.36    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= -4.24% (5)    
  Pds= 0.85% (7)   0.44% 12.87% (12)
  Pdo= 5.09% (7)-(5)   4.78% 3.25% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Ped  
Opposing Bike      
Xs= 60 ft Pvs 0.884964 (8)  
Qs= 37 vph Pvo 0.914599 (Op. 8)  
Us= 3.4 mph Pbs 0.041413 (9)  
Qo= 101 vph Pbo 0.00427 (Op.9)  
Uo= 12.8 mph Pns 0.073623 (10)   for 2-lane 0.115036  
FBs= 0.36   Pno 0.081131 (Op. 10)   for 2-lane 0.085401  
FBo= 0.05    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 3.43% (5)    
  Pds= 4.76% (7)   4.14% 7.73% (12)
  Pdo= 1.33% (7)-(5)   0.43% 10.69% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Ped  
Opposing Rollerblader      
Xs= 60 ft Pvs 0.884964 (8)  
Qs= 37 vph Pvo 0.97964 (Op. 8)  
Us= 3.4 mph Pbs 0.041413 (9)  
Qo= 18 vph Pbo 0.001629 (Op.9)  
Uo= 10.1 mph Pns 0.073623 (10)   for 2-lane 0.115036  
FBs= 0.36   Pno 0.018731 (Op. 10)   for 2-lane 0.02036  
FBo= 0.08    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 3.92% (5)    
  Pds= 4.29% (7)   4.14% 1.83% (12)
  Pdo= 0.37% (7)-(5)   0.16% 11.30% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Ped  
Opposing Child Bike      
Xs= 60 ft Pvs 0.884964 (8)  
Qs= 37 vph Pvo 0.986937 (Op. 8)  
Us= 3.4 mph Pbs 0.041413 (9)  
Qo= 9 vph Pbo 0.000131 (Op.9)  
Uo= 7.9 mph Pns 0.073623 (10)   for 2-lane 0.115036  
FBs= 0.36   Pno 0.012932 (Op. 10)   for 2-lane 0.013063  
FBo= 0.01    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 4.08% (5)    
  Pds= 4.24% (7)   4.14% 1.17% (12)
  Pdo= 0.16% (7)-(5)   0.01% 11.37% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Ped  
Opposing Runner      
Xs= 60 ft Pvs 0.884964 (8)  
Qs= 37 vph Pvo 0.968543 (Op. 8)  
Us= 3.4 mph Pbs 0.041413 (9)  
Qo= 18 vph Pbo 0.003775 (Op.9)  
Uo= 6.5 mph Pns 0.073623 (10)   for 2-lane 0.115036  
FBs= 0.36   Pno 0.027682 (Op. 10)   for 2-lane 0.031457  
FBo= 0.12    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 3.68% (5)    
  Pds= 4.37% (7)   4.14% 2.83% (12)
  Pdo= 0.69% (7)-(5)   0.38% 11.19% (Op. 11)

 

INPUT DATA   PROBABILITIES  
Being Passed Ped  
Opposing Ped      
Xs= 60 ft Pvs 0.884964 (8)  
Qs= 37 vph Pvo 0.884964 (Op. 8)  
Us= 3.4 mph Pbs 0.041413 (9)  
Qo= 37 vph Pbo 0.041413 (Op.9)  
Uo= 3.4 mph Pns 0.073623 (10)   for 2-lane 0.115036  
FBs= 0.36   Pno 0.073623 (Op. 10)   for 2-lane 0.115036  
FBo= 0.36    
  OUTPUT 3-Lane   4-Lane 2-Lane  
   
  D= 0.00% (5)    
  Pds= 4.96% (7)   4.14% 10.44% (12)
  Pdo= 4.96% (7)-(5)   4.14% 10.44% (Op. 11)

 

FHWA-HRT-05-138

 

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