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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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