What is the length of the queue of cars

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A car park in the vicinity of a football field experiences high demand during league games. During such days, cars begin arriving 4 hours and 30 minutes before the game begins and the last vehicle arrives exactly when the game starts. Predictably, a larger inflow of cars is observed in the period between 1h before the game and 30 minutes before the game begins. During this period, cars arrive at a rate of 130 cars per hour. During the rest of the time, cars arrive at 80 vehicles per hour. Due to technical limitations of the ticketing machines, the car park can process a maximum of 90 incoming cars per hour.

The car park has an abundance (unlimited amount) of space and the flow of cars is assumed continuous/fluid and deterministic. Ignoring any unpredictable variability in both arrivals and processing times, construct a build-up diagram to answer the following questions:

What is the length of the queue of cars when it is largest?

Reference no: EM132677137

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