Question

Given: Vehicles begin to arrive at a park entrance at 7:45 A.M. at a constant rate...

Given: Vehicles begin to arrive at a park entrance at 7:45 A.M. at a constant rate of six per minute and at a constant rate of four vehicles per minute from 8:00 A.M. on. The park opens at 8:00 A.M. and the manager wants to set the departure rate so that the average delay per vehicle is no greater than 9 minutes (measured from the time of the first arrival until the queue clears).

Find: Assuming D/D/1 queuing, what is the minimum departure rate needed to achieve this?

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