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City busses arrive to maintenance facility with exponential interarrival times with mean 2 hours. The facility consists of a single inspection station and 2 identical repair stations. Every bus is inspected; and inspection times are distributed uniformly between 15 minutes and 1.05 hours; the inspection station is fed by a single FIFO queue. Historically, 30% of the busses have been found during inspection to need some repair. The two parallel repair stations are fed by a single FIFO queue, the repairs are uniformly distributed between 2.1 and 4.5 hours. Run the simulation for 160 hours and compute the average delay in each queue, the average length of each queue, the utilization of the inspection station, and the utilization of the repair station (defined to be stations). Replicate the simulation 5 times. Suppose that the arrival rate of busses quadrupled, i.e. the mean interarrival time decreased to 30 minutes, Would the facility be able to handle it. Can you answer the question without simulation?
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