After observing arrivals and departures at a highway toll booth over a 60-minute time period, an observer notes that the

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After Observing Arrivals And Departures At A Highway Toll Booth Over A 60 Minute Time Period An Observer Notes That The 1 (26.92 KiB) Viewed 75 times

After observing arrivals and departures at a highway toll booth over a 60-minute time period, an observer notes that the arrival and departure rates (or service rates) are deterministic, but instead of being uniform, they change over time according to a known function. The arrival rate is given by the function a(t) = 1.4 +0.15t -0.0040t", and the departure rate is given by (t) = 1.4 +0.05t, where I is in minutes after the beginning of the observation period and a(t) and u(t) are in vehicles per minute. Determine the total vehicle delay at the toll booth and the longest queue, assuming D/D/1 queuing.