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 29P
Summary Introduction

To explain: Calculate the average time a patrol car is unavailable, and average number of cars out of service at any time.

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The Riverton Police Department has eight patrol cars thatare on constant call 24 hours per day. A patrol car requires repairs every 30 days, on average, according to an exponen-tial distribution. When a patrol car is in need of repair it is driven into the motor pool, which has a repairperson on duty at all times. The average time required to repair a pa-trol car is 12 hours (exponentially distributed). Determine the average time a patrol car is not available for use and theaverage number of patrol cars out of service at any onetime, and indicate if the repair service seems adequate.
The Riverton Police Department has eight patrol cars thatare on constant call 24 hours per day. A patrol car requiresrepairs every 30 days, on average, according to an exponential distribution. When a patrol car is in need of repair it isdriven into the motor pool, which has a repairperson onduty at all times. The average time required to repair a patrol car is 12 hours (exponentially distributed). Determinethe average time a patrol car is not available for use and theaverage number of patrol cars out of service at any onetime, and indicate if the repair service seems adequate
A call centre operates with two customer service representatives. Customers call the centre according to a Poisson process with an average rate of 10 calls per hour. The service times follow an exponential distribution with a mean service rate of 6 calls per hour per representative. The goal is to analyse the performance of this queuing system and determine key metrics.

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Operations and Supply Chain Management 9th edition

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