A Course on Queueing Models: 1st Edition (Hardback) book cover

A Course on Queueing Models

1st Edition

By Joti Lal Jain, Sri Gopal Mohanty, Walter Böhm

Chapman and Hall/CRC

461 pages | 35 B/W Illus.

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pub: 2006-07-20
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Description

The application of engineering principles in divergent fields such as management science and communications as well as the advancement of several approaches in theory and computation have led to growing interest in queueing models, creating the need for a comprehensive text. Emphasizing Markovian structures and the techniques that occur in different models, A Course on Queueing Models discusses recent developments in the field, different methodological tools - some of which are not available elsewhere - and computational techniques.

While most books essentially address the classical methods of queueing theory, this text covers a broad range of methods both in theory and in computation. The first part of the textbook exposes you to many fundamental concepts at an introductory level and provides tools for practitioners. It discusses the basics in queueing theory for Markovian and regenerative non-Markovian models, statistical inference, simulation and some computational procedures, network and discrete-time queues, algebraic and combinatorial methods, and optimization. The second part delves deeper into the topics examined in the first part by presenting more advanced methods. This part also includes general queues, duality in queues, and recent advancements on computational methods and discrete-time queues. Each chapter contains a discussion section that summarizes material and highlights special features.

Incorporating different queueing models, A Course on Queueing Models achieves an ideal balance between theory and practice, making it compatible for advanced undergraduate and graduate students, applied statisticians, and engineers.

Reviews

"…This text is evidence of the inroads engineering is making, covering a broad range of theory and applications and emphasizing Markovian structures and the techniques of different models. The bank of international authors cover the basics of queues … . Each chapter includes exercises and the authors provide appendices with basic information on such topics as random variables, stochastic processes, and statistical processes."

-SciTech Book News, June 2007

". .. those whose job it is to solve practical queuing problems will find this an excellent and well-documented source of general solution methods. The chapters on exact computational approaches are particularly useful . . . Given the clarity of exposition and the careful organization of the book, I would certainly recommend it for student use. It would also be a useful reference source for researchers."

– B. Atkinson, University of North London, in Journal of the Operational Research Society, 2008, Vol. 59

Table of Contents

QUEUES: BASIC CONCEPTS

Introduction

Queues: Features and Characteristics

Graphical Methods

Modelling

Scope and Organization

MARKOVIAN QUEUES

Introduction

A Simple Model: Steady-State Behaviour

Birth-Death Models: Steady-State Behaviour

Erlangian Models: Steady-State Behaviour

Transient Behaviour

Waiting Time and Little's Formula

Busy Periods and Idle Periods 3

Networks of Queues - I

Optimization

Discussion

REGENERATIVE NON-MARKOVIAN QUEUES - I

Introduction

Markovian Input Models

Markovian Service-Time Models

Bulk Queues

Functional Relations: A Heuristic Approach

Busy Periods

Discrete-Time Queues

Discussion

COMPUTATIONAL METHODS - I

Introduction

Root Finding Methods

The State Reduction Method

Transient Behaviour: Numerical Approaches

Discussion

STATISTICAL INFERENCE AND SIMULATION

Introduction

Statistical Inference

Solving Queueing Problems by Simulation

A Practical Application

Discussion

REGENERATIVE NON-MARKOVIAN QUEUES - II

Introduction

Non-Markovian Queues: Transient Solution

Combinatorial Methods

Functional Relations

Discussion

GENERAL QUEUES

Introduction

Waiting Time and Idle Time: An Analytic Method

Bounds for the Average Waiting Time

A Heavy Traffic Approximation

Diffusion Approximation

Waiting Time and Idle Time: A Probabilistic Method

Duality

Discussion

COMPUTATIONAL METHODS - II

Introduction

The Matrix-Geometric Solution

The Block Elimination Method

The Fourier Series Method for Inverting Transforms

Discussion

DISCRETE-TIME QUEUES: TRANSIENT SOLUTIONS

Introduction

Combinatorial Methods: Lattice Path Approach

Recurrence Relations

Algebraic Methods

Discussion

MISCELLANEOUS TOPICS

Introduction

Priority Queues

Queues with Infinite Servers

Design and Control of Queues

Networks of Queues II

Discussion

APPENDICES

INDEX

Each chapter includes exercises and references.

About the Series

Statistics: A Series of Textbooks and Monographs

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Subject Categories

BISAC Subject Codes/Headings:
BUS049000
BUSINESS & ECONOMICS / Operations Research
MAT029000
MATHEMATICS / Probability & Statistics / General
TEC029000
TECHNOLOGY & ENGINEERING / Operations Research