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pleasw work out the performance measures with results not just equations thank you The problem at hand relates to a waiting time management of queues

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pleasw work out the performance measures with results not just equations thank you

The problem at hand relates to a waiting time management of queues in a typical bank. In a bid to improve the level of service at the tellers, a bank manager seeks to find strategies to employ for better service offering that will improve customer satisfaction. The manager is prepared to employ up to 5 cashiers, but not less than 1 . The main management objectives are (i) To have a average customer to wait less than 2 minutes for service, and (ii) the average length of the queue (waiting line) to be 2 persons or fewer. The manager tests several models to help in the decision process. Model 1 2 Suppose the manager makes the following assumptions: - The distribution of the length of time it takes the cashiers to carry out a service is exponential, with mean 2 minutes and standard deviation of 1.25 minutes; - There is no limit to the queue length during business hours as the bank has a large floor area; - Customers arrive is a Poisson distribution, with mean of 25 per hour - Service is done on a first come first serve basis

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