Vehicles arrive to the park entrance at a constant rate of 900 veh/hour from 7:30 AM to 8:10 AM and then at a constant rate of 600 veh/hour from 8:10 A.M. The park opens at 8:10 A.M. and the manager wants to set the departure rate so that the average delay per vehicle (i.e.: Total delay/total number of arrival) is no greater than 24 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum departure rate (?) needed to achieve this? What is the total delay at this rate? What is the longest Queue?
Vehicles arrive to the park entrance at a constant rate of 900 veh/hour from 7:30 AM to 8:10 AM and then at a constant rate of 600 veh/hour from 8:10 A.M. The park opens at 8:10 A.M. and the manager wants to set the departure rate so that the average delay per vehicle (i.e.: Total delay/total number of arrival) is no greater than 24 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum departure rate (?) needed to achieve this? What is the total delay at this rate? What is the longest Queue?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Vehicles arrive to the park entrance at a constant rate of 900 veh/hour from
7:30 AM to 8:10 AM and then at a constant rate of 600 veh/hour from 8:10 A.M.
The park opens at 8:10 A.M. and the manager wants to set the departure rate so that the average delay per vehicle (i.e.:
Total delay/total number of arrival) is no greater than 24 minutes (measured from the time of the first arrival until the total queue clears).
Assuming D/D/1 queuing, what is the minimum departure rate (?) needed to achieve this?
What is the total delay at this rate?
What is the longest Queue?
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