### Estimate expected utilization of each berth also of cranes

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Q. Ships arrive at a harbour with inter arrival times which are IID exponential random variables with a mean of 1.25 days. Harbour has a dock with two berths also two cranes for unloading ships; ships arriving when both berths are occupied join a FIFO queue. Time for one crane to unload a ship is distributed uniformly between o.5 also 1.5 days. If only one ship is in harbour, both cranes unload ship also (remaining) unloading time is cut in half. When two ships are in harbour, one crane works on each ship. If both cranes are unloading one ship when a second ship arrives, one of cranes immediately begins serving second ship also remaining service time of first ship is doubled. Assuming which no ships are in harbour at time 0,run simulation for 90 days also compute minimum, maximum, also average time which ships are in harbour (which includes their time in berth).Also estimate expected utilization of each berth also of cranes

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