Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 14P

a)

Summary Introduction

To determine: The average waiting time in the line.

Introduction: The mathematical study which analyses the causes of delay in the waiting line is known as queuing theory. The theory examines all components in the waiting line such as arrival process, service process, and number of servers, system and customers.

b)

Summary Introduction

To determine: The average number of people waiting in line.

c)

Summary Introduction

To determine: The average waiting time in the line.

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Question 8.2 A fabric factory has 5 weaving machines in use. These weaving machines need repair after about 20 hours of use. Breakdowns have been determined to be Poisson distributed. Jim, the maintenance worker can service a weaving machine in an average of 2 hours, following an exponential distribution. Weaving machine downtime costs $120 per hour. Jim is paid $25 per hour. a) What is the average time a weaving machine is waiting to be repaired? b) What is the average number of weaving machines in the repairing area? c) What is the total hourly costs?
QUESTION 10 MM2 has a queuing problem where customers who line up to pay their selections form the waiting line. The MM2 system consists of an arrival rate of 3 per hour according to a Poisson distribution, and service times are on average equal to 16 minutes per customer. What is the number of customers waiting in the queue on average? O&1.333 Ob.4.0 Oc.0.952 Od32 O.0.152
QUESTION 5 A post office has a counter for customers' drive-through to get the services. The design of the drive-through lane allows for unlimited queue length. The arrival and service rate are Poisson distributed with A= 20 customers per hour arriving on average and u=25 customers per hour can be served on average. a) Compute the average number of arrivals. b) Compute the average time a customer waits. c) Compute the average number of arrivals in the system. d) Compute the average time a customer is in the system. e) Compute the probability that less than or equal to 3 customers are in the system. f) If the single counter for the customer drive-through has been replaced with the automatic operation, service rates are constant with A= 20 and u =25. Compute (a), (b), (c) and (d).
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