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Vehicles arrive at a toll booth starting at 6 AM at the rate of λ(t) =...

Vehicles arrive at a toll booth starting at 6 AM at the rate of λ(t) = 5 - 0.05t with λ(t) in veh/min and t in minutes after 6 AM. The first operator processes cars at a rate of 3.5 veh/min from 6 AM until 6:15 AM when the person leaves because of illness. From 6:15 AM to 6:30 AM, no one is at the toll booth but a new operator arrives at 6:30 AM and processes at the rate of µ(t) = 7 + 0.2t (with µ(t) in veh/min and t in min after 6:30 AM). Assuming D/D/1 queuing, determine the following queue characteristics,

1. Time of queue dissipation

2. Average delay

Engineering   Civil-Engineering   
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