Analysis of Queueing Systems

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.

Table of Contents


  • 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
  • Copyright: © Academic Press 1975
  • Published: October 28, 1975
  • Imprint: Academic Press
  • eBook ISBN: 9780323146609

About the Author

J.A. White

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