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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 3

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 550.00 100.00 50.00 100.00 200.00 1000            
  Two-way volume vph 1100 200 100 200 400 2000   Number of Lanes 2    
  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 99.99%        
  Prop. vol. high direction   0.5 0.5 0.5 0.5 0.5   Opp 99.99%        
  Qs vph 647 118 59 118 235 1176            
  Qo vph 647 118 59 118 235 1176            
                2353            

 

INPUT DATA   PROBABILITIES          
Being Passed Bike                 COMBINED
Opposing  Bike                  
Xs= 100 ft Pvs 0.383884 (8)          
Qs= 647 vph Pvo 0.383884 (Op. 8)         2-Lane
Us= 12.8 mph Pbs 0.030806 (9)          
Qo= 647 vph Pbo 0.030806 (Op.9)       Subj 99.99%
Uo= 12.8 mph Pns 0.58531 (10) for 2-lane 0.61612   Opp 99.99%
FBs= 0.05   Pno 0.58531 (Op. 10) for 2-lane 0.61612      
FBo= 0.05                  
      OUTPUT 3-Lane   4-Lane 2-Lane   3-Lane
                  Subj 97.68%
      D= 0.00% (5)       Opp 98.07%
      Pds= 29.15% (7) 3.08% 49.83% (12)    
      Pdo= 29.15% (7)-(5) 3.08% 49.83% (Op. 11)    
                    4-Lane
                  Subj 76.81%
                  Opp 81.08%

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Rollerblader              
Xs= 100 ft Pvs 0.383884 (8)      
Qs= 647 vph Pvo 0.802029 (Op. 8)      
Us= 12.8 mph Pbs 0.030806 (9)      
Qo= 118 vph Pbo 0.015838 (Op.9)      
Uo= 10.1 mph Pns 0.58531 (10) for 2-lane 0.61612  
FBs= 0.05   Pno 0.182133 (Op. 10) for 2-lane 0.19797  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 2.09% (5)      
      Pds= 13.46% (7) 3.08% 15.70% (12)
      Pdo= 11.37% (7)-(5) 1.58% 53.85% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Child Bike              
Xs= 100 ft Pvs 0.383884 (8)      
Qs= 647 vph Pvo 0.868469 (Op. 8)      
Us= 12.8 mph Pbs 0.030806 (9)      
Qo= 59 vph Pbo 0.001315 (Op.9)      
Uo= 7.9 mph Pns 0.58531 (10) for 2-lane 0.61612  
FBs= 0.05   Pno 0.130215 (Op. 10) for 2-lane 0.13153  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 2.84% (5)      
      Pds= 10.22% (7) 3.08% 10.32% (12)
      Pdo= 7.38% (7)-(5) 0.13% 56.09% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Runner              
Xs= 100 ft Pvs 0.383884 (8)      
Qs= 647 vph Pvo 0.709784 (Op. 8)      
Us= 12.8 mph Pbs 0.030806 (9)      
Qo= 118 vph Pbo 0.034826 (Op.9)      
Uo= 6.5 mph Pns 0.58531 (10) for 2-lane 0.61612  
FBs= 0.05   Pno 0.25539 (Op. 10) for 2-lane 0.29022  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 1.00% (5)      
      Pds= 17.59% (7) 3.08% 23.29% (12)
      Pdo= 16.59% (7)-(5) 3.48% 51.43% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Ped              
Xs= 100 ft Pvs 0.383884 (8)      
Qs= 647 vph Pvo 0.269635 (Op. 8)      
Us= 12.8 mph Pbs 0.030806 (9)      
Qo= 235 vph Pbo 0.262931 (Op.9)      
Uo= 3.4 mph Pns 0.58531 (10) for 2-lane 0.61612  
FBs= 0.05   Pno 0.467433 (Op. 10) for 2-lane 0.73036  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -12.75% (5)      
      Pds= 33.25% (7) 3.08% 58.49% (12)
      Pdo= 46.00% (7)-(5) 26.29% 51.90% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Bike              
Xs= 100 ft Pvs 0.802029 (8)      
Qs= 118 vph Pvo 0.383884 (Op. 8)      
Us= 10.1 mph Pbs 0.015838 (9)      
Qo= 647 vph Pbo 0.030806 (Op.9)      
Uo= 12.8 mph Pns 0.182133 (10) for 2-lane 0.19797  
FBs= 0.08   Pno 0.58531 (Op. 10) for 2-lane 0.61612  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -2.09% (5)      
      Pds= 11.37% (7) 1.58% 53.85% (12)
      Pdo= 13.46% (7)-(5) 3.08% 15.70% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Rollerblader              
Xs= 100 ft Pvs 0.802029 (8)      
Qs= 118 vph Pvo 0.802029 (Op. 8)      
Us= 10.1 mph Pbs 0.015838 (9)      
Qo= 118 vph Pbo 0.015838 (Op.9)      
Uo= 10.1 mph Pns 0.182133 (10) for 2-lane 0.19797  
FBs= 0.08   Pno 0.182133 (Op. 10) for 2-lane 0.19797  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 5.02% (7) 1.58% 17.08% (12)
      Pdo= 5.02% (7)-(5) 1.58% 17.08% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Child Bike              
Xs= 100 ft Pvs 0.802029 (8)      
Qs= 118 vph Pvo 0.868469 (Op. 8)      
Us= 10.1 mph Pbs 0.015838 (9)      
Qo= 59 vph Pbo 0.001315 (Op.9)      
Uo= 7.9 mph Pns 0.182133 (10) for 2-lane 0.19797  
FBs= 0.08   Pno 0.130215 (Op. 10) for 2-lane 0.13153  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 1.30% (5)      
      Pds= 3.92% (7) 1.58% 11.27% (12)
      Pdo= 2.62% (7)-(5) 0.13% 17.86% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Runner              
Xs= 100 ft Pvs 0.802029 (8)      
Qs= 118 vph Pvo 0.709784 (Op. 8)      
Us= 10.1 mph Pbs 0.015838 (9)      
Qo= 118 vph Pbo 0.034826 (Op.9)      
Uo= 6.5 mph Pns 0.182133 (10) for 2-lane 0.19797  
FBs= 0.08   Pno 0.25539 (Op. 10) for 2-lane 0.29022  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -1.75% (5)      
      Pds= 6.49% (7) 1.58% 25.24% (12)
      Pdo= 8.24% (7)-(5) 3.48% 16.25% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Ped              
Xs= 100 ft Pvs 0.802029 (8)      
Qs= 118 vph Pvo 0.269635 (Op. 8)      
Us= 10.1 mph Pbs 0.015838 (9)      
Qo= 235 vph Pbo 0.262931 (Op.9)      
Uo= 3.4 mph Pns 0.182133 (10) for 2-lane 0.19797  
FBs= 0.08   Pno 0.467433 (Op. 10) for 2-lane 0.73036  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -22.58% (5)      
      Pds= 11.95% (7) 1.58% 63.42% (12)
      Pdo= 34.53% (7)-(5) 26.26% 16.41% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Bike              
Xs= 70 ft Pvs 0.906 (8)      
Qs= 59 vph Pvo 0.511611 (Op. 8)      
Us= 7.9 mph Pbs 0.00094 (9)      
Qo= 647 vph Pbo 0.024419 (Op.9)      
Uo= 12.8 mph Pns 0.09306 (10) for 2-lane 0.094  
FBs= 0.01   Pno 0.463969 (Op. 10) for 2-lane 0.48839  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -2.26% (5)      
      Pds= 4.35% (7) 0.09% 45.65% (12)
      Pdo= 6.62% (7)-(5) 2.44% 7.20% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Rollerblader              
Xs= 70 ft Pvs 0.906 (8)      
Qs= 59 vph Pvo 0.856906 (Op. 8)      
Us= 7.9 mph Pbs 0.00094 (9)      
Qo= 118 vph Pbo 0.011448 (Op.9)      
Uo= 10.1 mph Pns 0.09306 (10) for 2-lane 0.094  
FBs= 0.01   Pno 0.131647 (Op. 10) for 2-lane 0.14309  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -0.97% (5)      
      Pds= 1.40% (7) 0.09% 13.23% (12)
      Pdo= 2.37% (7)-(5) 1.14% 8.33% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Child Bike              
Xs= 70 ft Pvs 0.906 (8)      
Qs= 59 vph Pvo 0.906 (Op. 8)      
Us= 7.9 mph Pbs 0.00094 (9)      
Qo= 59 vph Pbo 0.00094 (Op.9)      
Uo= 7.9 mph Pns 0.09306 (10) for 2-lane 0.094  
FBs= 0.01   Pno 0.09306 (Op. 10) for 2-lane 0.094  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 0.96% (7) 0.09% 8.66% (12)
      Pdo= 0.96% (7)-(5) 0.09% 8.66% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Runner              
Xs= 70 ft Pvs 0.906 (8)      
Qs= 59 vph Pvo 0.786662 (Op. 8)      
Us= 7.9 mph Pbs 0.00094 (9)      
Qo= 118 vph Pbo 0.025601 (Op.9)      
Uo= 6.5 mph Pns 0.09306 (10) for 2-lane 0.094  
FBs= 0.01   Pno 0.187737 (Op. 10) for 2-lane 0.21334  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -2.29% (5)      
      Pds= 2.00% (7) 0.09% 19.80% (12)
      Pdo= 4.29% (7)-(5) 2.56% 7.94% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Ped              
Xs= 70 ft Pvs 0.906 (8)      
Qs= 59 vph Pvo 0.399525 (Op. 8)      
Us= 7.9 mph Pbs 0.00094 (9)      
Qo= 235 vph Pbo 0.216171 (Op.9)      
Uo= 3.4 mph Pns 0.09306 (10) for 2-lane 0.094  
FBs= 0.01   Pno 0.384304 (Op. 10) for 2-lane 0.60048  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -20.27% (5)      
      Pds= 4.79% (7) 0.09% 56.08% (12)
      Pdo= 25.06% (7)-(5) 21.62% 7.29% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Bike              
Xs= 70 ft Pvs 0.786662 (8)      
Qs= 118 vph Pvo 0.511611 (Op. 8)      
Us= 6.5 mph Pbs 0.025601 (9)      
Qo= 647 vph Pbo 0.024419 (Op.9)      
Uo= 12.8 mph Pns 0.187737 (10) for 2-lane 0.21334  
FBs= 0.12   Pno 0.463969 (Op. 10) for 2-lane 0.48839  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -0.67% (5)      
      Pds= 10.74% (7) 2.56% 42.42% (12)
      Pdo= 11.41% (7)-(5) 2.44% 16.70% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Rollerblader              
Xs= 70 ft Pvs 0.786662 (8)      
Qs= 118 vph Pvo 0.856906 (Op. 8)      
Us= 6.5 mph Pbs 0.025601 (9)      
Qo= 118 vph Pbo 0.011448 (Op.9)      
Uo= 10.1 mph Pns 0.187737 (10) for 2-lane 0.21334  
FBs= 0.12   Pno 0.131647 (Op. 10) for 2-lane 0.14309  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 1.33% (5)      
      Pds= 5.15% (7) 2.56% 12.16% (12)
      Pdo= 3.83% (7)-(5) 1.14% 19.11% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Child Bike              
Xs= 70 ft Pvs 0.786662 (8)      
Qs= 118 vph Pvo 0.906 (Op. 8)      
Us= 6.5 mph Pbs 0.025601 (9)      
Qo= 59 vph Pbo 0.00094 (Op.9)      
Uo= 7.9 mph Pns 0.187737 (10) for 2-lane 0.21334  
FBs= 0.12   Pno 0.09306 (Op. 10) for 2-lane 0.094  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 2.29% (5)      
      Pds= 4.29% (7) 2.56% 7.94% (12)
      Pdo= 2.00% (7)-(5) 0.09% 19.80% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Runner              
Xs= 70 ft Pvs 0.786662 (8)      
Qs= 118 vph Pvo 0.786662 (Op. 8)      
Us= 6.5 mph Pbs 0.025601 (9)      
Qo= 118 vph Pbo 0.025601 (Op.9)      
Uo= 6.5 mph Pns 0.187737 (10) for 2-lane 0.21334  
FBs= 0.12   Pno 0.187737 (Op. 10) for 2-lane 0.21334  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 6.34% (7) 2.56% 18.27% (12)
      Pdo= 6.34% (7)-(5) 2.56% 18.27% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Ped              
Xs= 70 ft Pvs 0.786662 (8)      
Qs= 118 vph Pvo 0.399525 (Op. 8)      
Us= 6.5 mph Pbs 0.025601 (9)      
Qo= 235 vph Pbo 0.216171 (Op.9)      
Uo= 3.4 mph Pns 0.187737 (10) for 2-lane 0.21334  
FBs= 0.12   Pno 0.384304 (Op. 10) for 2-lane 0.60048  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -17.23% (5)      
      Pds= 11.74% (7) 2.56% 52.07% (12)
      Pdo= 28.97% (7)-(5) 21.62% 16.90% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Bike              
Xs= 60 ft Pvs 0.455477 (8)      
Qs= 235 vph Pvo 0.563015 (Op. 8)      
Us= 3.4 mph Pbs 0.196028 (9)      
Qo= 647 vph Pbo 0.021849 (Op.9)      
Uo= 12.8 mph Pns 0.348495 (10) for 2-lane 0.54452  
FBs= 0.36   Pno 0.415135 (Op. 10) for 2-lane 0.43698  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 11.74% (5)      
      Pds= 31.91% (7) 19.60% 35.00% (12)
      Pdo= 20.17% (7)-(5) 2.18% 43.72% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Rollerblader              
Xs= 60 ft Pvs 0.455477 (8)      
Qs= 235 vph Pvo 0.87602 (Op. 8)      
Us= 3.4 mph Pbs 0.196028 (9)      
Qo= 118 vph Pbo 0.009918 (Op.9)      
Uo= 10.1 mph Pns 0.348495 (10) for 2-lane 0.54452  
FBs= 0.36   Pno 0.114061 (Op. 10) for 2-lane 0.12398  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 17.41% (5)      
      Pds= 23.67% (7) 19.60% 9.58% (12)
      Pdo= 6.26% (7)-(5) 0.99% 49.88% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Child Bike              
Xs= 60 ft Pvs 0.455477 (8)      
Qs= 235 vph Pvo 0.918867 (Op. 8)      
Us= 3.4 mph Pbs 0.196028 (9)      
Qo= 59 vph Pbo 0.000811 (Op.9)      
Uo= 7.9 mph Pns 0.348495 (10) for 2-lane 0.54452  
FBs= 0.36   Pno 0.080322 (Op. 10) for 2-lane 0.08113  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 18.49% (5)      
      Pds= 22.32% (7) 19.60% 6.22% (12)
      Pdo= 3.83% (7)-(5) 0.08% 51.34% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Runner              
Xs= 60 ft Pvs 0.455477 (8)      
Qs= 235 vph Pvo 0.814096 (Op. 8)      
Us= 3.4 mph Pbs 0.196028 (9)      
Qo= 118 vph Pbo 0.022308 (Op.9)      
Uo= 6.5 mph Pns 0.348495 (10) for 2-lane 0.54452  
FBs= 0.36   Pno 0.163595 (Op. 10) for 2-lane 0.1859  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 15.85% (5)      
      Pds= 25.53% (7) 19.60% 14.52% (12)
      Pdo= 9.68% (7)-(5) 2.23% 48.01% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Ped              
Xs= 60 ft Pvs 0.455477 (8)      
Qs= 235 vph Pvo 0.455477 (Op. 8)      
Us= 3.4 mph Pbs 0.196028 (9)      
Qo= 235 vph Pbo 0.196028 (Op.9)      
Uo= 3.4 mph Pns 0.348495 (10) for 2-lane 0.54452  
FBs= 0.36   Pno 0.348495 (Op. 10) for 2-lane 0.54452  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 34.40% (7) 19.60% 43.63% (12)
      Pdo= 34.40% (7)-(5) 19.60% 43.63% (Op. 11)

 

FHWA-HRT-05-138

 

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