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Federal Highway Administration Research and Technology
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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 4

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 38.50 7.00 3.50 7.00 14.00 70            
  Two-way volume vph 77 14 7 14 28 140   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   Subj 14.14%        
  Prop. vol. high direction   0.5 0.5 0.5 0.5 0.5   Opp 16.45%        
  Qs vph 45 8 4 8 16 82            
  Qo vph 45 8 4 8 16 82            
                165            

 

INPUT DATA   PROBABILITIES          
Being Passed Bike                 COMBINED
Opposing  Bike                  
Xs= 100 ft Pvs 0.935177 (8)          
Qs= 45 vph Pvo 0.935177 (Op. 8)         2-Lane
Us= 12.8 mph Pbs 0.003241 (9)          
Qo= 45 vph Pbo 0.003241 (Op.9)       Subj 55.40%
Uo= 12.8 mph Pns 0.061581 (10) for 2-lane 0.06482   Opp 54.22%
FBs= 0.05   Pno 0.061581 (Op. 10) for 2-lane 0.06482      
FBo= 0.05                  
      OUTPUT 3-Lane   4-Lane 2-Lane   3-Lane
                  Subj 14.14%
      D= 0.00% (5)       Opp 16.45%
      Pds= 0.72% (7) 0.32% 6.11% (12)    
      Pdo= 0.72% (7)-(5) 0.32% 6.11% (Op. 11)    
                    4-Lane
                  Subj 12.20%
                  Opp 14.67%

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Rollerblader              
Xs= 100 ft Pvs 0.935177 (8)      
Qs= 45 vph Pvo 0.984676 (Op. 8)      
Us= 12.8 mph Pbs 0.003241 (9)      
Qo= 8 vph Pbo 0.001226 (Op.9)      
Uo= 10.1 mph Pns 0.061581 (10) for 2-lane 0.06482  
FBs= 0.05   Pno 0.014098 (Op. 10) for 2-lane 0.01532  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= 0.20% (5)      
      Pds= 0.42% (7) 0.32% 1.44% (12)
      Pdo= 0.21% (7)-(5) 0.12% 6.39% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike               
Opposing  Child Bike              
Xs= 100 ft Pvs 0.935177 (8)      
Qs= 45 vph Pvo 0.990177 (Op. 8)      
Us= 12.8 mph Pbs 0.003241 (9)      
Qo= 4 vph Pbo 9.82E-05 (Op.9)      
Uo= 7.9 mph Pns 0.061581 (10) for 2-lane 0.06482  
FBs= 0.05   Pno 0.009725 (Op. 10) for 2-lane 0.00982  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= 0.31% (5)      
      Pds= 0.38% (7) 0.32% 0.92% (12)
      Pdo= 0.07% (7)-(5) 0.01% 6.42% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Runner              
Xs= 100 ft Pvs 0.935177 (8)      
Qs= 45 vph Pvo 0.97629 (Op. 8)      
Us= 12.8 mph Pbs 0.003241 (9)      
Qo= 8 vph Pbo 0.002845 (Op.9)      
Uo= 6.5 mph Pns 0.061581 (10) for 2-lane 0.06482  
FBs= 0.05   Pno 0.020865 (Op. 10) for 2-lane 0.02371  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= 0.05% (5)      
      Pds= 0.47% (7) 0.32% 2.23% (12)
      Pdo= 0.42% (7)-(5) 0.28% 6.34% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Ped              
Xs= 100 ft Pvs 0.935177 (8)      
Qs= 45 vph Pvo 0.912335 (Op. 8)      
Us= 12.8 mph Pbs 0.003241 (9)      
Qo= 16 vph Pbo 0.031559 (Op.9)      
Uo= 3.4 mph Pns 0.061581 (10) for 2-lane 0.06482  
FBs= 0.05   Pno 0.056106 (Op. 10) for 2-lane 0.08766  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= -2.66% (5)      
      Pds= 0.85% (7) 0.32% 8.28% (12)
      Pdo= 3.52% (7)-(5) 3.16% 5.99% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Bike              
Xs= 100 ft Pvs 0.984676 (8)      
Qs= 8 vph Pvo 0.935177 (Op. 8)      
Us= 10.1 mph Pbs 0.001226 (9)      
Qo= 45 vph Pbo 0.003241 (Op.9)      
Uo= 12.8 mph Pns 0.014098 (10) for 2-lane 0.01532  
FBs= 0.08   Pno 0.061581 (Op. 10) for 2-lane 0.06482  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= -0.20% (5)      
      Pds= 0.21% (7) 0.12% 6.39% (12)
      Pdo= 0.42% (7)-(5) 0.32% 1.44% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Rollerblader               
Xs= 100 ft Pvs 0.984676 (8)      
Qs= 8 vph Pvo 0.984676 (Op. 8)      
Us= 10.1 mph Pbs 0.001226 (9)      
Qo= 8 vph Pbo 0.001226 (Op.9)      
Uo= 10.1 mph Pns 0.014098 (10) for 2-lane 0.01532  
FBs= 0.08   Pno 0.014098 (Op. 10) for 2-lane 0.01532  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= 0.00% (5)      
      Pds= 0.14% (7) 0.12% 1.51% (12)
      Pdo= 0.14% (7)-(5) 0.12% 1.51% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Child Bike              
Xs= 100 ft Pvs 0.984676 (8)      
Qs= 8 vph Pvo 0.990177 (Op. 8)      
Us= 10.1 mph Pbs 0.001226 (9)      
Qo= 4 vph Pbo 9.82E-05 (Op.9)       
Uo= 7.9 mph Pns 0.014098 (10) for 2-lane 0.01532  
FBs= 0.08   Pno 0.009725 (Op. 10) for 2-lane 0.00982  
FBo= 0.01              
       OUTPUT 3-Lane   4-Lane 2-Lane  
      D= 0.11% (5)      
      Pds= 0.14% (7) 0.12% 0.97% (12)
      Pdo= 0.02% (7)-(5) 0.01% 1.52% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Runner              
Xs= 100 ft Pvs 0.984676 (8)      
Qs= 8 vph Pvo 0.97629 (Op. 8)      
Us= 10.1 mph Pbs 0.001226 (9)      
Qo= 8 vph Pbo 0.002845 (Op.9)      
Uo= 6.5 mph Pns 0.014098 (10) for 2-lane 0.01532  
FBs= 0.08   Pno 0.020865 (Op. 10) for 2-lane 0.02371  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= -0.16% (5)      
      Pds= 0.16% (7) 0.12% 2.34% (12)
      Pdo= 0.32% (7)-(5) 0.28% 1.50% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Ped               
Xs= 100 ft Pvs 0.984676 (8)      
Qs= 8 vph Pvo 0.912335 (Op. 8)      
Us= 10.1 mph Pbs 0.001226 (9)      
Qo= 16 vph Pbo 0.031559 (Op.9)      
Uo= 3.4 mph Pns 0.014098 (10) for 2-lane 0.01532  
FBs= 0.08   Pno 0.056106 (Op. 10) for 2-lane 0.08766  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= -3.00% (5)      
      Pds= 0.24% (7) 0.12% 8.64% (12)
      Pdo= 3.24% (7)-(5) 3.16% 1.41% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Bike              
Xs= 70 ft Pvs 0.993114 (8)      
Qs= 4 vph Pvo 0.95417 (Op. 8)      
Us= 7.9 mph Pbs 6.89E-05 (9)      
Qo= 45 vph Pbo 0.002291 (Op.9)      
Uo= 12.8 mph Pns 0.006817 (10) for 2-lane 0.00689  
FBs= 0.01   Pno 0.043538 (Op. 10) for 2-lane 0.04583  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane  
      D= -0.22% (5)      
      Pds= 0.04% (7) 0.01% 4.55% (12)
      Pdo= 0.26% (7)-(5) 0.23% 0.66% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Rollerblader              
Xs= 70 ft Pvs 0.993114 (8)      
Qs= 4 vph Pvo 0.989248 (Op. 8)      
Us= 7.9 mph Pbs 6.89E-05 (9)      
Qo= 8 vph Pbo 0.00086 (Op.9)      
Uo= 10.1 mph Pns 0.006817 (10) for 2-lane 0.00689  
FBs= 0.01   Pno 0.009892 (Op. 10) for 2-lane 0.01075  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
       D= -0.08% (5)      
      Pds= 0.01% (7) 0.01% 1.07% (12)
      Pdo= 0.09% (7)-(5) 0.09% 0.68% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Child Bike              
Xs= 70 ft Pvs 0.993114 (8)      
Qs= 4 vph Pvo 0.993114 (Op. 8)      
Us= 7.9 mph Pbs 6.89E-05 (9)      
Qo= 4 vph Pbo 6.89E-05 (Op.9)      
Uo= 7.9 mph Pns 0.006817 (10) for 2-lane 0.00689  
FBs= 0.01   Pno 0.006817 (Op. 10) for 2-lane 0.00689  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                  
      D= 0.00% (5)      
      Pds= 0.01% (7) 0.01% 0.68% (12)
      Pdo= 0.01% (7)-(5) 0.01% 0.68% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Runner              
Xs= 70 ft Pvs 0.993114 (8)      
Qs= 4 vph Pvo 0.983343 (Op. 8)      
Us= 7.9 mph Pbs 6.89E-05 (9)      
Qo= 8 vph Pbo 0.001999 (Op.9)      
Uo= 6.5 mph Pns 0.006817 (10) for 2-lane 0.00689  
FBs= 0.01   Pno 0.014658 (Op. 10) for 2-lane 0.01666  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -0.19% (5)      
      Pds= 0.02% (7) 0.01% 1.65% (12)
      Pdo= 0.21% (7)-(5) 0.20% 0.68% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Ped              
Xs= 70 ft Pvs 0.993114 (8)      
Qs= 4 vph Pvo 0.937795 (Op. 8)      
Us= 7.9 mph Pbs 6.89E-05 (9)      
Qo= 16 vph Pbo 0.022394 (Op.9)      
Uo= 3.4 mph Pns 0.006817 (10) for 2-lane 0.00689  
FBs= 0.01   Pno 0.039811 (Op. 10) for 2-lane 0.0622  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -2.22% (5)      
      Pds= 0.05% (7) 0.01% 6.18% (12)
      Pdo= 2.27% (7)-(5) 2.24% 0.65% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Bike              
Xs= 70 ft Pvs 0.983343 (8)      
Qs= 8 vph Pvo 0.95417 (Op. 8)      
Us= 6.5 mph Pbs 0.001999 (9)      
Qo= 45 vph Pbo 0.002291 (Op.9)      
Uo= 12.8 mph Pns 0.014658 (10) for 2-lane 0.01666  
FBs= 0.12   Pno 0.043538 (Op. 10) for 2-lane 0.04583  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -0.03% (5)      
      Pds= 0.27% (7) 0.20% 4.51% (12)
      Pdo= 0.30% (7)-(5) 0.23% 1.59% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Rollerblader              
Xs= 70 ft Pvs 0.983343 (8)      
Qs= 8 vph Pvo 0.989248 (Op. 8)      
Us= 6.5 mph Pbs 0.001999 (9)      
Qo= 8 vph Pbo 0.00086 (Op.9)      
Uo= 10.1 mph Pns 0.014658 (10) for 2-lane 0.01666  
FBs= 0.12   Pno 0.009892 (Op. 10) for 2-lane 0.01075  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.11% (5)      
      Pds= 0.22% (7) 0.20% 1.06% (12)
      Pdo= 0.10% (7)-(5) 0.09% 1.65% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Child Bike              
Xs= 70 ft Pvs 0.983343 (8)      
Qs= 8 vph Pvo 0.993114 (Op. 8)      
Us= 6.5 mph Pbs 0.001999 (9)      
Qo= 4 vph Pbo 6.89E-05 (Op.9)      
Uo= 7.9 mph Pns 0.014658 (10) for 2-lane 0.01666  
FBs= 0.12   Pno 0.006817 (Op. 10) for 2-lane 0.00689  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.19% (5)      
      Pds= 0.21% (7) 0.20% 0.68% (12)
      Pdo= 0.02% (7)-(5) 0.01% 1.65% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Runner              
Xs= 70 ft Pvs 0.983343 (8)      
Qs= 8 vph Pvo 0.983343 (Op. 8)      
Us= 6.5 mph Pbs 0.001999 (9)      
Qo= 8 vph Pbo 0.001999 (Op.9)      
Uo= 6.5 mph Pns 0.014658 (10) for 2-lane 0.01666  
FBs= 0.12   Pno 0.014658 (Op. 10) for 2-lane 0.01666  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.00% (5)      
      Pds= 0.22% (7) 0.20% 1.64% (12)
      Pdo= 0.22% (7)-(5) 0.20% 1.64% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Ped              
Xs= 70 ft Pvs 0.983343 (8)      
Qs= 8 vph Pvo 0.937795 (Op. 8)      
Us= 6.5 mph Pbs 0.001999 (9)      
Qo= 16 vph Pbo 0.022394 (Op.9)      
Uo= 3.4 mph Pns 0.014658 (10) for 2-lane 0.01666  
FBs= 0.12   Pno 0.039811 (Op. 10) for 2-lane 0.0622  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -2.02% (5)      
      Pds= 0.29% (7) 0.20% 6.12% (12)
      Pdo= 2.31% (7)-(5) 2.24% 1.57% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Bike              
Xs= 60 ft Pvs 0.946439 (8)      
Qs= 16 vph Pvo 0.960586 (Op. 8)      
Us= 3.4 mph Pbs 0.019282 (9)      
Qo= 45 vph Pbo 0.001971 (Op.9)      
Uo= 12.8 mph Pns 0.034279 (10) for 2-lane 0.05356  
FBs= 0.36   Pno 0.037443 (Op. 10) for 2-lane 0.03941  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 1.67% (5)      
      Pds= 2.06% (7) 1.93% 3.75% (12)
      Pdo= 0.39% (7)-(5) 0.20% 5.16% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Rollerblader               
Xs= 60 ft Pvs 0.946439 (8)      
Qs= 16 vph Pvo 0.990777 (Op. 8)      
Us= 3.4 mph Pbs 0.019282 (9)      
Qo= 8 vph Pbo 0.000738 (Op.9)      
Uo= 10.1 mph Pns 0.034279 (10) for 2-lane 0.05356  
FBs= 0.36   Pno 0.008485 (Op. 10) for 2-lane 0.00922  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 1.84% (5)      
      Pds= 1.96% (7) 1.93% 0.88% (12)
      Pdo= 0.12% (7)-(5) 0.07% 5.31% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Child Bike              
Xs= 60 ft Pvs 0.946439 (8)      
Qs= 16 vph Pvo 0.994095 (Op. 8)      
Us= 3.4 mph Pbs 0.019282 (9)      
Qo= 4 vph Pbo 5.91E-05 (Op.9)      
Uo= 7.9 mph Pns 0.034279 (10) for 2-lane 0.05356  
FBs= 0.36   Pno 0.005846 (Op. 10) for 2-lane 0.00591  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 1.91% (5)      
      Pds= 1.95% (7) 1.93% 0.56% (12)
      Pdo= 0.04% (7)-(5) 0.01% 5.33% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Runner              
Xs= 60 ft Pvs 0.946439 (8)      
Qs= 16 vph Pvo 0.985706 (Op. 8)      
Us= 3.4 mph Pbs 0.019282 (9)      
Qo= 8 vph Pbo 0.001715 (Op.9)      
Uo= 6.5 mph Pns 0.034279 (10) for 2-lane 0.05356  
FBs= 0.36   Pno 0.012579 (Op. 10) for 2-lane 0.01429  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 1.74% (5)      
      Pds= 1.98% (7) 1.93% 1.36% (12)
      Pdo= 0.24% (7)-(5) 0.17% 5.28% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Ped              
Xs= 60 ft Pvs 0.946439 (8)      
Qs= 16 vph Pvo 0.946439 (Op. 8)      
Us= 3.4 mph Pbs 0.019282 (9)      
Qo= 16 vph Pbo 0.019282 (Op.9)      
Uo= 3.4 mph Pns 0.034279 (10) for 2-lane 0.05356  
FBs= 0.36   Pno 0.034279 (Op. 10) for 2-lane 0.05356  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.00% (5)      
      Pds= 2.11% (7) 1.93% 5.10% (12)
      Pdo= 2.11% (7)-(5) 1.93% 5.10% (Op. 11)

 

FHWA-HRT-05-138

 

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