OPERATIONS MANAGEMENT W/ CNCT+
OPERATIONS MANAGEMENT W/ CNCT+
12th Edition
ISBN: 9781259574931
Author: Stevenson
Publisher: MCG CUSTOM
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Chapter 18, Problem 2CTE

a)

Summary Introduction

To determine: Reasons doubling the service rate of single-server system would cut the average waiting time in line in half.

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.

b)

Summary Introduction

To determine: Impact on the average number waiting in line.

c)

Summary Introduction

To determine: Managerial implications on the analysis.

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Consider this situation: A manager is contemplating making changes to a single-server system that is expected to double the service rate, and still have just one server. (a). Would you (intuitively) think that doubling the service rate of a single-server system would cut the average waiting time in line in half? (b). For the sake of analysis, suppose the current system has an arrival rate of 8 customers per hour and a service rate of 10 customers per hour. If the service rate is doubled, what impact will that have on the average number waiting in line? (c). What are some managerial implications of your analysis?
The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. How long in minutes would it take the customer from lining up until he leaves the waiting line? b.How long in minutes would a customer wait to be served on average? c.Find the probability that there are 7 customers in the system.
A single server queuing system has an average service time of 10 minutes per customer, which is exponentially distributed. The manager is thinking of converting to a system with a constant service time of 10 minutes. The average arrival rate will remain the same. The effect will be to:  Select one: a. increase utilization. b. decrease utilization. c. not have any effect since the service time is unchanged. d. increase the average waiting time. e. decrease the average waiting time.
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