EBK OPERATIONS MANAGEMENT
EBK OPERATIONS MANAGEMENT
11th Edition
ISBN: 8220103630726
Author: RENDER
Publisher: PEARSON
Question
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Chapter D, Problem 22P

a)

Summary Introduction

To determine: The minimum number of server for the system.

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 optimal number of server for the system.

c)

Summary Introduction

To determine: The cost of the system at the usage of optimal number of servers.

d)

Summary Introduction

To determine: The server utilization rate at minimum number of server.

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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 related to queing theory don't copy In a tool crib, workers come to take tools at 6 per hour on the average. Waiting for them costs Rs. 12 per hour. The service time per worker is in the tool crib is 12 minutes. What will be total waiting cost of the workers per day if it is 8 hours a day? Assume M/M/1 queuing system.
Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of in process inventory at the workstation costs $31 per day (on the average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.
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