newly planned boat agency will be located on the Amazon River. Suppose you have decided to build a dock facility where 2 boats could be serviced at a time for service and fuel. Assume that the arrivals follow a Poisson distribution, with an average of 5 boats per hour, and that the average service rate has an exponential distribution with a mean of 10 boats in each of the channels. a) What is the probability that the dock is empty? b) What is the average number of boats waiting for service? c) What is the average time a boat will spend waiting for service? d) What is the average time a boat will spend at the dock? e) If you were the administrator. Would you be satisfied with the level of service offered by the dock? why?
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A newly planned boat agency will be located on the Amazon River. Suppose you have decided to build a dock facility where 2 boats could be serviced at a time for service and fuel. Assume that the arrivals follow a Poisson distribution, with an average of 5 boats per hour, and that the average service rate has an exponential distribution with a mean of 10 boats in each of the channels. a) What is the probability that the dock is empty? b) What is the average number of boats waiting for service? c) What is the average time a boat will spend waiting for service? d) What is the average time a boat will spend at the dock? e) If you were the administrator. Would you be satisfied with the level of service offered by the dock? why?
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