D / D / 1 Example 6
Time Period 1 (Noon to 2 PM)                  
Qnoon = 0 Q2PM = 100 veh (50 veh/hr x 2 hrs.)  
  D Q = 50 vph Q1Avg= (Qnoon + Q2pm)/2
 
Q1Avg= (0 + 100)/2 = 50
   
  l = 200
vph
 
m = 150 vph  
                         
   
Time Period 1 (2 PM to 8 PM)                  
Q2PM = 100 Q = 0 veh (25 veh/hr x X hrs.)  
  D Q = 25 vph  
 
 
   
  l = 125 vph  
m = 150 vph  
   
  X = 100 veh/25 veh/hr = 4 hours = T2  
   
  Q2Avg= (Q2pm+Q?pm)/X  
  Q2Avg= (Q2pm+Q6pm)/4  
  Q2Avg= (100 + 0)/4 = 25  
                         
Total Delay = D1 + D2 = Total Time in Queue = T1 * Q1avg + T2 * Q2Avg
where Ti = Time during period i for which a queue exists
Total Delay = 2 hrs * 50 veh + 4 hrs * 25 veh = 200 vehicle-hours