Vehicles arrive at a single toll booth beginning at 8:00 A.M. They arrive and depart according to a uniform deterministic distribution. However, the toll booth does not open until 8:10 A.M. The average arrival rate is 8 veh/min and the average departure rate is 10 veh/min. Assuming D/D/1 queuing, when does the initial queue clear and what are the total delay, the average delay per vehicle, longest queue length (in vehicles), and the wait time of the 100th vehicle to arrive (assuming first-infirst- out)?
Vehicles arrive at a single toll booth beginning at 8:00 A.M. They arrive and depart according to a uniform deterministic distribution. However, the toll booth does not open until 8:10 A.M. The average arrival rate is 8 veh/min and the average departure rate is 10 veh/min. Assuming D/D/1 queuing, when does the initial queue clear and what are the total delay, the average delay per vehicle, longest queue length (in vehicles), and the wait time of the 100th vehicle to arrive (assuming first-infirst- out)?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Vehicles arrive at a single toll booth beginning at
8:00 A.M. They arrive and depart according to a uniform
deterministic distribution. However, the toll booth does
not open until 8:10 A.M. The average arrival rate is 8
veh/min and the average departure rate is 10 veh/min.
Assuming D/D/1 queuing, when does the initial queue
clear and what are the total delay, the average delay per
vehicle, longest queue length (in vehicles), and the wait
time of the 100th vehicle to arrive (assuming first-infirst-
out)?
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