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 2P
Summary Introduction

To explain: Determine the average waiting time for a ticket buyer and the portion of time the ticket seller is busy.

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The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poison distributed); on average, 8 customers arrive to purchase tickets each hour (Poison distributed). Determine the average time a ticket buyer must wait and the portion of time the ticket seller is busy.
McBurger’s fast-food restaurant has a drive-through window with a single server who takes orders from an intercom and also is the cashier. The window operator is assisted by other employees who prepare the orders. Customers arrive at the ordering station prior to the drivethrough window every 4.5 minutes (Poisson distributed), and the service time is 2.8 minutes (exponentially distributed). Determine the average length of the waiting line and the waiting time. Discuss the quality of the service.
A branch office of a large engineering firm has one on-line terminal connected to a central computer system for 16 hours each day. Engineers drive to the branch office to use the terminal to make routine calculations with an average exponential distribution of 30 minutes per use. The daily arrival pattern of engineers is random (Poisson) with an average of 20 persons. The branch manager is starting to receive complaints from the engineers about the length of time many of them have to wait to use the terminal. Question: 1. What is and u measured in per hour intervals? 2. On the average, how many minutes does each engineer have to wait? 3. Using increments of 0.1 hours, what would be the least value of u so that the waiting time will be not exceed 30 minutes?

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Operations and Supply Chain Management 9th edition

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