Operations and Supply Chain Management 9th edition
Operations and Supply Chain Management 9th edition
9th Edition
ISBN: 9781119320975
Author: Roberta S. Russell, Bernard W. Taylor III
Publisher: WILEY
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Chapter 5, Problem 19P
Summary Introduction

To explain: Customers arrive at G’s ice cream shop at the rate of 35 per hour, and a server can serve 15 customers per hour on average. Will 3 servers be enough to ensure that customer don’t have to wait more than 5 minutes for service.

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When customers arrive at Gilley’s Ice Cream Shop, theytake a number and wait to be called to purchase ice creamfrom one of the counter servers. From experience in pastsummers, the store’s staff knows that customers arrive atthe rate of 35 per hour (Poisson distributed) on summerdays between 3:00 P.M. and 10:00 P.M. and a server canserve 15 customers per hour on average (Poisson distributed). Gilley’s wants to make sure that customers wait nolonger than 5 minutes for service. Gilley’s is contemplatingkeeping three servers behind the ice cream counter duringthe peak summer hours. Will this number be adequate tomeet the waiting time policy?
Tony’s Barbershop is run, owned, and operated by Anthony Jones, who has been cutting hairfor more than 20 years. Anthony does not take appointments, so the arrival pattern of customers is essentially random. Traditionally, the arrival rate had been about one customer every50 minutes. Two months ago, the local paper ran an article about Anthony that improved business substantially. Currently, the arrival rate is closer to one customer every 35 minutes. Haircutsrequire an average of 25 minutes, but the times vary considerably depending on customerneeds. A trim might require as little as 5 minutes, but a shampoo and styling could take as longas an hour or more. For this reason, the exponential distribution seems to provide a reasonablygood fit of the service time distribution.Anthony’s customers have always been patient, but ever since business picked up, somehave complained that the wait is too long. Anthony is considering taking his cousin Marvin intothe business to improve customer…

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Operations and Supply Chain Management 9th edition

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