Queues: A Course in Queueing Theory

✍ Scribed by Moshe Haviv (auth.)

• Publisher: Springer-Verlag New York
• Year: 2013
• Tongue: English
• Leaves: 232
• Series: International Series in Operations Research & Management Science 191
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiv
The Exponential Distribution and the Poisson Process....Pages 1-19
Introduction to Renewal Theory....Pages 21-36
Introduction to Markov Chains....Pages 37-50
From Single Server Queues to M/G/1....Pages 51-70
Priorities and Scheduling in M/G/1....Pages 71-80
M/G/1 Queues Using Markov Chains and LSTs....Pages 81-98
The G/M/1 Queueing System....Pages 99-105
Continuous-Time Markov Chains and Memoryless Queues....Pages 107-138
Open Networks of Exponential Queues....Pages 139-150
Closed Networks of Exponential Queues....Pages 151-163
Insensitivity and Product-Form Queueing Models....Pages 165-179
Two-Dimensional Markov Processes and Their Applications to Memoryless Queues....Pages 181-216
Back Matter....Pages 217-221

✦ Subjects

Operation Research/Decision Theory; Operations Research, Management Science; Mathematical Modeling and Industrial Mathematics