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Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after 20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level for the remainder of the day. If the time required to distribute the brochure is 15 seconds and assuming D/D/1 queue, a. Determine the maximum length of queue that occurred. b. How long did it take to dissipate the queue? c. What is the average delay per vehicle? Show all necessary solutions and diagram

Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after 20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level for the remainder of the day. If the time required to distribute the brochure is 15 seconds and assuming D/D/1 queue, a. Determine the maximum length of queue that occurred. b. How long did it take to dissipate the queue? c. What is the average delay per vehicle? Show all necessary solutions and diagram

Traffic and Highway Engineering
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter12: Forecasting Travel Demand
Section: Chapter Questions
Problem 25P
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1.) Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after 20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level for the remainder of the day. If the time required to distribute the brochure is 15 seconds and assuming D/D/1 queue, a. Determine the maximum length of queue that occurred. b. How long did it take to dissipate the queue? c. What is the average delay per vehicle? Show all necessary solutions and diagram 2.) Consider the entrance to the recreational park described in the previous question. However, assuming that the average arrival rate is 180 veh/hr and Poisson-distributed (negative exponential times between arrivals) over the entire period from park opening time, 08:00 am until
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