Operations Management
Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 18, Problem 3CTE
Summary Introduction

To determine: Factors to be taken into account in deciding on whether to keep separate locations or pool servers and equipment at one central location.

Introduction: A waiting line system, otherwise called a queuing or lining system. It is one of the most seasoned and most generally utilized quantitative investigation systems. Waiting lines are an ordinary event, influencing individuals looking for foodstuffs, purchasing fuel, influencing a bank to store, or looking out for the phone for the most readily accessible carrier reservationist to reply.

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Why do queues arise at a service facility even though there is more than enough capacity to meet regular demand in the long run?
The following build-up diagram tracks the number of customers for a single-server queueing system (e.g., an ATM machine) from 10:00am to 10:15am on a certain day. The number of customers shown in the chart includes both those in service and waiting in line. Build-up diagram # of Customers in system (in service + waiting) 3 2 1 0 10:00 10:01 10:02 10:03 10:04 10:07 10:09 We will call the customer who arrived the earliest during this time span the first customer, the customer who arrived the second earliest the second customer, etc.. The service discipline is first-come-first-served (FCFS). According to the diagram, how long did the second customer have to wait (in minutes) before he can enter service?
For a single-server queue of 10 customers whose arrival and service time is given below in the table. Complete the below given table.   Customer Arrival Time ti Inter Arrival Time Ai=ti—ti-1   Service Begins (Sb) Delay Time (Di) Service Time (Si) Calculate Ci=ti+Di+Si 1 7:00   7:02   6   2 7:08   7:12   4   3 7:11   7:16   1   4 7:13   7:19   5   5 7:18   7:25   10   6 7:36   7:39   2   7 7:40   7:44   3   8 7:45   7:48   3   9 7:49   7:52   4   10 7:55   7:57   3     Find the average service time and average delay time. Average Service Time= Average Delay Time=
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