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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 5

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 117.37 21.34 10.67 21.34 42.68 213.4            
  Two-way volume vph 235 43 21 43 85 427   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 43.29%        
  Prop. vol. high direction   0.5 0.5 0.5 0.5 0.5   Opp 47.21%        
  Qs vph 138 25 13 25 50 251            
  Qo vph 138 25 13 25 50 251            
                502            

 

INPUT DATA   PROBABILITIES            
Being Passed Bike                 COMBINED
Opposing  Bike                    
Xs= 100 ft Pvs 0.815208 (8)            
Qs= 138 vph Pvo 0.815208 (Op. 8)         2-Lane  
Us= 12.8 mph Pbs 0.00924 (9)            
Qo= 138 vph Pbo 0.00924 (Op.9)       Subj 90.39%  
Uo= 12.8 mph Pns 0.175553 (10) for 2-lane 0.18479   Opp 89.64%  
FBs= 0.05   Pno 0.175553 (Op. 10) for 2-lane 0.18479        
FBo= 0.05                    
      OUTPUT 3-Lane   4-Lane 2-Lane   3-Lane  
                  Subj 43.29%  
      D= 0.00% (5)       Opp 47.21%  
      Pds= 4.04% (7) 0.92% 16.06% (12)      
      Pdo= 4.04% (7)-(5) 0.92% 16.06% (Op. 11)      
                    4-Lane  
                  Subj 31.75%  
                  Opp 36.95%  

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Rollerblader              
Xs= 100 ft Pvs 0.815208 (8)      
Qs= 138 vph Pvo 0.954013 (Op. 8)      
Us= 12.8 mph Pbs 0.00924 (9)      
Qo= 25 vph Pbo 0.003679 (Op.9)      
Uo= 10.1 mph Pns 0.175553 (10) for 2-lane 0.18479  
FBs= 0.05   Pno 0.042308 (Op. 10) for 2-lane 0.04599  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.59% (5)      
      Pds= 1.72% (7) 0.92% 3.93% (12)
      Pdo= 1.14% (7)-(5) 0.37% 17.79% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Child Bike              
Xs= 100 ft Pvs 0.815208 (8)      
Qs= 138 vph Pvo 0.970354 (Op. 8)      
Us= 12.8 mph Pbs 0.00924 (9)      
Qo= 13 vph Pbo 0.000296 (Op.9)      
Uo= 7.9 mph Pns 0.175553 (10) for 2-lane 0.18479  
FBs= 0.05   Pno 0.02935 (Op. 10) for 2-lane 0.02965  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.88% (5)      
      Pds= 1.44% (7) 0.92% 2.53% (12)
      Pdo= 0.56% (7)-(5) 0.03% 18.03% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Runner              
Xs= 100 ft Pvs 0.815208 (8)      
Qs= 138 vph Pvo 0.929459 (Op. 8)      
Us= 12.8 mph Pbs 0.00924 (9)      
Qo= 25 vph Pbo 0.008465 (Op.9)      
Uo= 6.5 mph Pns 0.175553 (10) for 2-lane 0.18479  
FBs= 0.05   Pno 0.062076 (Op. 10) for 2-lane 0.07054  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.17% (5)      
      Pds= 2.14% (7) 0.92% 6.05% (12)
      Pdo= 1.97% (7)-(5) 0.85% 17.44% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Bike              
Opposing  Ped              
Xs= 100 ft Pvs 0.815208 (8)      
Qs= 138 vph Pvo 0.75601 (Op. 8)      
Us= 12.8 mph Pbs 0.00924 (9)      
Qo= 50 vph Pbo 0.087836 (Op.9)      
Uo= 3.4 mph Pns 0.175553 (10) for 2-lane 0.18479  
FBs= 0.05   Pno 0.156153 (Op. 10) for 2-lane 0.24399  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -6.64% (5)      
      Pds= 4.89% (7) 0.92% 21.32% (12)
      Pdo= 11.54% (7)-(5) 8.78% 15.50% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Bike              
Xs= 100 ft Pvs 0.954013 (8)      
Qs= 25 vph Pvo 0.815208 (Op. 8)      
Us= 10.1 mph Pbs 0.003679 (9)      
Qo= 138 vph Pbo 0.00924 (Op.9)      
Uo= 12.8 mph Pns 0.042308 (10) for 2-lane 0.04599  
FBs= 0.08   Pno 0.175553 (Op. 10) for 2-lane 0.18479  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -0.59% (5)      
      Pds= 1.14% (7) 0.37% 17.79% (12)
      Pdo= 1.72% (7)-(5) 0.92% 3.93% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Rollerblader              
Xs= 100 ft Pvs 0.954013 (8)      
Qs= 25 vph Pvo 0.954013 (Op. 8)      
Us= 10.1 mph Pbs 0.003679 (9)      
Qo= 25 vph Pbo 0.003679 (Op.9)      
Uo= 10.1 mph Pns 0.042308 (10) for 2-lane 0.04599  
FBs= 0.08   Pno 0.042308 (Op. 10) for 2-lane 0.04599  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.00% (5)      
      Pds= 0.56% (7) 0.37% 4.41% (12)
      Pdo= 0.56% (7)-(5) 0.37% 4.41% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Child Bike              
Xs= 100 ft Pvs 0.954013 (8)      
Qs= 25 vph Pvo 0.970354 (Op. 8)      
Us= 10.1 mph Pbs 0.003679 (9)      
Qo= 13 vph Pbo 0.000296 (Op.9)      
Uo= 7.9 mph Pns 0.042308 (10) for 2-lane 0.04599  
FBs= 0.08   Pno 0.02935 (Op. 10) for 2-lane 0.02965  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= 0.33% (5)      
      Pds= 0.49% (7) 0.37% 2.84% (12)
      Pdo= 0.16% (7)-(5) 0.03% 4.47% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Runner              
Xs= 100 ft Pvs 0.954013 (8)      
Qs= 25 vph Pvo 0.929459 (Op. 8)      
Us= 10.1 mph Pbs 0.003679 (9)      
Qo= 25 vph Pbo 0.008465 (Op.9)      
Uo= 6.5 mph Pns 0.042308 (10) for 2-lane 0.04599  
FBs= 0.08   Pno 0.062076 (Op. 10) for 2-lane 0.07054  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
      D= -0.47% (5)      
      Pds= 0.66% (7) 0.37% 6.76% (12)
      Pdo= 1.13% (7)-(5) 0.85% 4.31% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Rollerblader              
Opposing  Ped              
Xs= 100 ft Pvs 0.954013 (8)      
Qs= 25 vph Pvo 0.75601 (Op. 8)      
Us= 10.1 mph Pbs 0.003679 (9)      
Qo= 50 vph Pbo 0.087836 (Op.9)      
Uo= 3.4 mph Pns 0.042308 (10) for 2-lane 0.04599  
FBs= 0.08   Pno 0.156153 (Op. 10) for 2-lane 0.24399  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -8.16% (5)      
      Pds= 1.34% (7) 0.37% 23.52% (12)
      Pdo= 9.49% (7)-(5) 8.78% 3.78% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Bike              
Xs= 70 ft Pvs 0.979154 (8)      
Qs= 13 vph Pvo 0.866738 (Op. 8)      
Us= 7.9 mph Pbs 0.000208 (9)      
Qo= 138 vph Pbo 0.006663 (Op.9)      
Uo= 12.8 mph Pns 0.020637 (10) for 2-lane 0.02085  
FBs= 0.01   Pno 0.126599 (Op. 10) for 2-lane 0.13326  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -0.64% (5)      
      Pds= 0.29% (7) 0.02% 13.09% (12)
      Pdo= 0.93% (7)-(5) 0.67% 1.85% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Rollerblader              
Xs= 70 ft Pvs 0.979154 (8)      
Qs= 13 vph Pvo 0.967582 (Op. 8)      
Us= 7.9 mph Pbs 0.000208 (9)      
Qo= 25 vph Pbo 0.002593 (Op.9)      
Uo= 10.1 mph Pns 0.020637 (10) for 2-lane 0.02085  
FBs= 0.01   Pno 0.029824 (Op. 10) for 2-lane 0.03242  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -0.23% (5)      
      Pds= 0.09% (7) 0.02% 3.18% (12)
      Pdo= 0.32% (7)-(5) 0.26% 2.02% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Child Bike              
Xs= 70 ft Pvs 0.979154 (8)      
Qs= 13 vph Pvo 0.979154 (Op. 8)      
Us= 7.9 mph Pbs 0.000208 (9)      
Qo= 13 vph Pbo 0.000208 (Op.9)      
Uo= 7.9 mph Pns 0.020637 (10) for 2-lane 0.02085  
FBs= 0.01   Pno 0.020637 (Op. 10) for 2-lane 0.02085  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 0.06% (7) 0.02% 2.04% (12)
      Pdo= 0.06% (7)-(5) 0.02% 2.04% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Runner              
Xs= 70 ft Pvs 0.979154 (8)      
Qs= 13 vph Pvo 0.950082 (Op. 8)      
Us= 7.9 mph Pbs 0.000208 (9)      
Qo= 25 vph Pbo 0.00599 (Op.9)      
Uo= 6.5 mph Pns 0.020637 (10) for 2-lane 0.02085  
FBs= 0.01   Pno 0.043928 (Op. 10) for 2-lane 0.04992  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -0.57% (5)      
      Pds= 0.12% (7) 0.02% 4.89% (12)
      Pdo= 0.69% (7)-(5) 0.60% 1.99% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Child Bike              
Opposing  Ped              
Xs= 70 ft Pvs 0.979154 (8)      
Qs= 13 vph Pvo 0.822185 (Op. 8)      
Us= 7.9 mph Pbs 0.000208 (9)      
Qo= 50 vph Pbo 0.064013 (Op.9)      
Uo= 3.4 mph Pns 0.020637 (10) for 2-lane 0.02085  
FBs= 0.01   Pno 0.113802 (Op. 10) for 2-lane 0.17782  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -6.27% (5)      
      Pds= 0.37% (7) 0.02% 17.47% (12)
      Pdo= 6.64% (7)-(5) 6.40% 1.79% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Bike              
Xs= 70 ft Pvs 0.950082 (8)      
Qs= 25 vph Pvo 0.866738 (Op. 8)      
Us= 6.5 mph Pbs 0.00599 (9)      
Qo= 138 vph Pbo 0.006663 (Op.9)      
Uo= 12.8 mph Pns 0.043928 (10) for 2-lane 0.04992  
FBs= 0.12   Pno 0.126599 (Op. 10) for 2-lane 0.13326  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -0.11% (5)      
      Pds= 1.18% (7) 0.60% 12.76% (12)
      Pdo= 1.29% (7)-(5) 0.67% 4.44% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Rollerblader              
Xs= 70 ft Pvs 0.950082 (8)      
Qs= 25 vph Pvo 0.967582 (Op. 8)      
Us= 6.5 mph Pbs 0.00599 (9)      
Qo= 25 vph Pbo 0.002593 (Op.9)      
Uo= 10.1 mph Pns 0.043928 (10) for 2-lane 0.04992  
FBs= 0.12   Pno 0.029824 (Op. 10) for 2-lane 0.03242  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.33% (5)      
      Pds= 0.74% (7) 0.60% 3.09% (12)
      Pdo= 0.41% (7)-(5) 0.26% 4.84% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Child Bike              
Xs= 70 ft Pvs 0.950082 (8)      
Qs= 25 vph Pvo 0.979154 (Op. 8)      
Us= 6.5 mph Pbs 0.00599 (9)      
Qo= 13 vph Pbo 0.000208 (Op.9)      
Uo= 7.9 mph Pns 0.043928 (10) for 2-lane 0.04992  
FBs= 0.12   Pno 0.020637 (Op. 10) for 2-lane 0.02085  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.57% (5)      
      Pds= 0.69% (7) 0.60% 1.99% (12)
      Pdo= 0.12% (7)-(5) 0.02% 4.89% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Runner              
Xs= 70 ft Pvs 0.950082 (8)      
Qs= 25 vph Pvo 0.950082 (Op. 8)      
Us= 6.5 mph Pbs 0.00599 (9)      
Qo= 25 vph Pbo 0.00599 (Op.9)      
Uo= 6.5 mph Pns 0.043928 (10) for 2-lane 0.04992  
FBs= 0.12   Pno 0.043928 (Op. 10) for 2-lane 0.04992  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 0.82% (7) 0.60% 4.77% (12)
      Pdo= 0.82% (7)-(5) 0.60% 4.77% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Runner              
Opposing  Ped              
Xs= 70 ft Pvs 0.950082 (8)      
Qs= 25 vph Pvo 0.822185 (Op. 8)      
Us= 6.5 mph Pbs 0.00599 (9)      
Qo= 50 vph Pbo 0.064013 (Op.9)      
Uo= 3.4 mph Pns 0.043928 (10) for 2-lane 0.04992  
FBs= 0.12   Pno 0.113802 (Op. 10) for 2-lane 0.17782  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= -5.62% (5)      
      Pds= 1.35% (7) 0.60% 17.06% (12)
      Pdo= 6.96% (7)-(5) 6.40% 4.29% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Bike              
Xs= 60 ft Pvs 0.845506 (8)      
Qs= 50 vph Pvo 0.884629 (Op. 8)      
Us= 3.4 mph Pbs 0.055618 (9)      
Qo= 138 vph Pbo 0.005769 (Op.9)      
Uo= 12.8 mph Pns 0.098876 (10) for 2-lane 0.15449  
FBs= 0.36   Pno 0.109603 (Op. 10) for 2-lane 0.11537  
FBo= 0.05              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 4.48% (5)      
      Pds= 6.68% (7) 5.56% 10.17% (12)
      Pdo= 2.20% (7)-(5) 0.58% 14.06% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Rollerblader              
Xs= 60 ft Pvs 0.845506 (8)      
Qs= 50 vph Pvo 0.972148 (Op. 8)      
Us= 3.4 mph Pbs 0.055618 (9)      
Qo= 25 vph Pbo 0.002228 (Op.9)      
Uo= 10.1 mph Pns 0.098876 (10) for 2-lane 0.15449  
FBs= 0.36   Pno 0.025624 (Op. 10) for 2-lane 0.02785  
FBo= 0.08              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 5.23% (5)      
      Pds= 5.84% (7) 5.56% 2.43% (12)
      Pdo= 0.60% (7)-(5) 0.22% 15.08% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Child Bike              
Xs= 60 ft Pvs 0.845506 (8)      
Qs= 50 vph Pvo 0.982105 (Op. 8)      
Us= 3.4 mph Pbs 0.055618 (9)      
Qo= 13 vph Pbo 0.000179 (Op.9)      
Uo= 7.9 mph Pns 0.098876 (10) for 2-lane 0.15449  
FBs= 0.36   Pno 0.017716 (Op. 10) for 2-lane 0.01789  
FBo= 0.01              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 5.46% (5)      
      Pds= 5.74% (7) 5.56% 1.56% (12)
      Pdo= 0.28% (7)-(5) 0.02% 15.21% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Runner              
Xs= 60 ft Pvs 0.845506 (8)      
Qs= 50 vph Pvo 0.957058 (Op. 8)      
Us= 3.4 mph Pbs 0.055618 (9)      
Qo= 25 vph Pbo 0.005153 (Op.9)      
Uo= 6.5 mph Pns 0.098876 (10) for 2-lane 0.15449  
FBs= 0.36   Pno 0.037789 (Op. 10) for 2-lane 0.04294  
FBo= 0.12              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 4.91% (5)      
      Pds= 5.98% (7) 5.56% 3.75% (12)
      Pdo= 1.08% (7)-(5) 0.52% 14.89% (Op. 11)

 

INPUT DATA   PROBABILITIES      
Being Passed Ped              
Opposing  Ped              
Xs= 60 ft Pvs 0.845506 (8)      
Qs= 50 vph Pvo 0.845506 (Op. 8)      
Us= 3.4 mph Pbs 0.055618 (9)      
Qo= 50 vph Pbo 0.055618 (Op.9)      
Uo= 3.4 mph Pns 0.098876 (10) for 2-lane 0.15449  
FBs= 0.36   Pno 0.098876 (Op. 10) for 2-lane 0.15449  
FBo= 0.36              
      OUTPUT 3-Lane   4-Lane 2-Lane
                 
      D= 0.00% (5)      
      Pds= 7.02% (7) 5.56% 13.66% (12)
      Pdo= 7.02% (7)-(5) 5.56% 13.66% (Op. 11)

 

FHWA-HRT-05-138

 

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