It is known, that vehicles begin to arrive at a park entrance at 7:50 am at a constant rate of 8 per minute and at a constant rate of 4 vehicles per minute from 8:00 am on. The park opens at 8:00 am and the manager wants to set the departure rate so that the average delay per vehicle is no longer than 9 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum uniform departure rate needed to archive this? State your answer in vehicles per minute in the form 00.00.

It is known, that vehicles begin to arrive at a park entrance at 7:50 am at a constant rate of 8 per minute and at a constant rate of 4 vehicles per minute from 8:00 am on. The park opens at 8:00 am and the manager wants to set the departure rate so that the average delay per vehicle is no longer than 9 minutes (measured from the time of the first arrival until the total queue clears). Assuming D/D/1 queuing, what is the minimum uniform departure rate needed to archive this? State your answer in vehicles per minute in the form 00.00.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter22: Simulation With Process Model

Section: Chapter Questions

Problem 7RP

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