Problem 1: After observing arrivals and departures at a highway toll booth over a 60-minute time period, an observer not

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Problem 1 After Observing Arrivals And Departures At A Highway Toll Booth Over A 60 Minute Time Period An Observer Not 1 (21.66 KiB) Viewed 50 times

Problem 1: 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 a by the function a(t) = 1.4 +0.15t -0.0040t, and the departure rate is given by u(t) = 1.4 + 0.05t, where is in minutes after the beginning of the observation period and a(t) and (t) are in vehicles per minute. Determine the total vehicle delay at the toll booth and the longest queue, assuming D/D/1 queuing.