Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 6, Problem 26P
The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson with a mean of 30 mi/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car.
(a) What is the expected length of queue at the ticket gate, not including the vehicle being served?
(b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served?
(c) What will be the average waiting time of a vehicle?
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3-The arrival rate at a parking lot is 6 veh/min. Vehicles start arriving at 6:00 P.M., and when the
queue reaches 36 vehicles, service begins. If company policy is that total vehicle delay should be
equal to 500 veh min, what is the departure rate? (Assume D/D/1 queuing and a constant service rate.)
The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to
be Poisson with a mean of 30 veh/h. It takes an average of 1.5 min for the necessary
tickets to be bought for occupants of each car.
6-23
(a) What is the expected length of queue at the ticket gate, not including the vehicle
being served?
(b) What is the probability that there are no more than 5 cars at the gate, including
the vehicle being served?
(c) What will be the average waiting time of a vehicle?
The arrival rate at a parking lot is 6 veh/ min. Vehicles start arriving at 6:00 P. M., and when the queue reaches 36 vehicles, service begins. If company policy is that total vehicle delay should be equal to 540 veh-min, what is the service rate? (Assume D/ D/ 1 queuing and a constant service rate.)
Chapter 6 Solutions
Traffic and Highway Engineering
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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