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Vehicles arrive at a freeway on-ramp meter at a constant rate of six per minute starting...

Vehicles arrive at a freeway on-ramp meter at a constant rate of six per minute starting at 6.00 A.M. Service begins at 6.00 AM such that µ(t) = 2 + 0.4, where µ(t) is in veh/min and t is in minutes after 6:00 A.M. What is the total delay and the maximum queue length in vehicles?   

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Answer #1

Here arival rate is constant but service rate is variable . The service rate increasing with passes of time. See the solution . For maximum delay we will maximize the gap between two curve .

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