Vehicles arrive at a toll both starting at 7:00 A.M. at a rate of λ(t) =...

Vehicles arrive at a toll both starting at 7:00 A.M. at a rate of λ(t) = 5.1 – 0.05t [with λ(t) in veh/min and t in minutes after 7:00 A.M.]. The first operator processes cars at a rate of 3 veh/minute 7:00 A.M. until 7:15 A.M when the person leaves because of illness. From 7:15 A.M to 7:25 A.M, no one is at the toll booth but a new operator arrives at 7:25 A.M and processes at a rate of μ(t) = 8 + 0.3t [with μ(t) in veh/min and t in minutes after 7:25 A.M.]. Assuming D/D/1 queuing, what is the maximum queue length (in vehicles) and the average delay per vehicle?

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Ally Wells answered 2 years ago

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