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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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United States Department of Transportation - Federal Highway Administration