U.S. Department of Transportation
Federal Highway Administration
1200 New Jersey Avenue, SE
Washington, DC 20590
202-366-4000


Skip to content U.S. Department of Transportation/Federal Highway AdministrationU.S. Department of Transportation/Federal Highway Administration

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 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

ResearchFHWA
FHWA
United States Department of Transportation - Federal Highway Administration