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Queuing problem: Average time a customer spends in Queue

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Customers arrive at Homestake Bank between the hours of 10 A.M. and 11 A.M. according to a Poisson distribution at a mean rate of 40 per hour. During the period from 10 A.M. to 11 A.M. the bank has 3 tellers working. The average time a teller spends with a customer is 3 minutes, and service time follows an exponential distribution. What is the average time a customer will spend waiting in line before seeing a teller?

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Solution Summary

This posting contains a problem on M/M/3(Multiserver) model. It shows the formula and procedure to calculate average time a customer spends in Queue.

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The attached excel file contain a step by step procedure and formulas to ...

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