Table of contents

About this book

Introduction

Queueing theory (the mathematical theory of waiting lines in all its configurations) continues to be a standard major area of operations research on the stochastic side.  Therefore, universities with an active program in operations research sometimes will have an entire course devoted mainly or entirely to queueing theory, and the course is also taught in computer science, electrical engineering, mathematics, and industrial engineering programs.

The basic course in queueing theory is often taught at first year graduate level, though can be taught at senior level undergraduate as well.  This text evolved from the author’s preferred syllabus for teaching the course, presenting the material in a more logical order than other texts and so being more effective in teaching the basics of queueing theory.

The first three chapters focus on the needed preliminaries, including exposition distributions, Poisson processes and generating functions, renewal theory, and Markov chains,  Then, rather than switching to first-come first-served memoryless queues here as most texts do, Haviv discusses the M/G/1 model instead of the M/M/1, and then covers priority queues. Later chapters cover the G/M/1 model, thirteen examples of continuous-time Markov processes, open networks of memoryless queues and closed networks, queueing regimes with insensitive parameters, and then concludes with two-dimensional queueing models which are quasi birth and death processes.  Each chapter ends with exercises.

Keywords

Interdiction Operations Research Optimization Queueing Theory Robust Programming Sensitivity Analysis

Authors and affiliations

  • Moshe Haviv
    • 1
  1. 1., Department of StatisticsThe Hebrew UniversityJerusalemIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-6765-6
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Business and Economics
  • Print ISBN 978-1-4614-6764-9
  • Online ISBN 978-1-4614-6765-6
  • Series Print ISSN 0884-8289
  • About this book