# Analysis of Queueing Systems

1st Edition - October 28, 1975

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• Author: J.A. White
• eBook ISBN: 9780323146609

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## Description

Analysis and Queueing Systems is a nine-chapter introductory text that considers the applied problem of analyzing queueing systems. This book outlines a sequence of steps, which if properly executed yield an improved design of the system. This book deals first with the development of the necessary background in probability theory and transforms methods. These topics are followed by a presentation of queueing models and how these simple models can be applied in more complex situations. The subsequent chapters survey the development of prescriptive models of queueing systems; the principles of transient analysis; and the modeling techniques for use in analyzing more complex queueing systems. The discussion then shifts to the design of data collection systems and the analysis of data. The last chapter focuses on the development of simulation models.

• Preface

1. Introduction

Why This Book?

Conducting a Systems Analysis

Where to from Here?

References

2. Probability Theory and Transform Methods

Probability Theory

Transform Methods

Summary

References

Problems

3. Poisson Queues

Introduction

Infinite Population Models: (M|M|c):(GD|N|∞) Queue

Finite Population Models: (M|M|c):(GD|K|K) Queue

Bulk Arrivals: (M(b)|M|c):(GD|∞|∞) Queue

Network of Poisson Queues

Summary

References

Problems

4. Non-Poisson Queues

Introduction

Pollaczek-Khintchine Formula

Method of Stages

Numerical Solution of Steady-State Balance Equations

Summary

References

Problems

5. Decision Models

Introduction

Classical Optimization

Search Techniques

Cost Models

Aspiration Level Models

Cost Determination

Summary

References

Problems

6. Transient Analysis and Special Topics

Introduction

(M|G|1):(GD|∞|∞) Queue

Busy Period 252

(GI|M|1):(GD|∞|∞) Queue

Priority Service Disciplines

Transient Analysis

(M|M|∞):(GD|∞|∞) Queue

Summary

References

Problems

7. Data Analysis—Estimation

Introduction

Identifying the Distribution

Point Estimation

Goodness-of-Fit Tests

Interval Estimation

Summary

References

Problems

8. Data Analysis—Hypothesis Testing

Introduction

Null and Alternative Hypotheses

Type I and Type II Errors

Sample Size

Tests for a Single Parameter

Tests for the Comparison of Two Parameters

Effects of Nonnormality

Other Statistical Tests

Charting Techniques

Summary

References

Problems

9. Simulation of Queueing Systems

Introduction

Simulation Modeling

Monte Carlo Method

Generation of Uniformly Distributed Random Numbers

Process Generation of Continuous Random Variables with Known Density Functions

Process Generators for Discrete Random Variables with Known Probability

Mass Functions

Empirical Process Generators

Simulation of a Single-Channel Queueing System (G|G|1):(FCFS|∞|∞)

Multiple Channels in Parallel (G|G|C):(FCFS|∞|∞)

Simulation of Networks of Queues

Summary

References

Problems

Appendix. Tables

Index

## Product details

• No. of pages: 542
• Language: English