Ships arrive at a port facility at an average rate of two ships every three days. On average, it takes a single crew one day to unload a ship. Assume that interarrival and service times are exponential. The shipping company owns the port facility as well as the ships using that facility. The company estimates that it costs $1000 per day for each day that a ship spends in port. The crew servicing the ships consists of 100 workers, each of whom is paid an average of $30 per day. A consultant has recommended that the shipping company hire an additional 40 workers and split the employees into two equal-size crews of 70 each. This would give each crew an average unloading or loading time of 1.5 days. Which crew arrangement would you recommend to the company?
Ships arrive at a port facility at an average rate of two ships every three days. On average, it takes a single crew one day to unload a ship. Assume that interarrival and service times are exponential. The shipping company owns the port facility as well as the ships using that facility. The company estimates that it costs $1000 per day for each day that a ship spends in port. The crew servicing the ships consists of 100 workers, each of whom is paid an average of $30 per day. A consultant has recommended that the shipping company hire an additional 40 workers and split the employees into two equal-size crews of 70 each. This would give each crew an average unloading or loading time of 1.5 days. Which crew arrangement would you recommend to the company?
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