An Introduction to Queueing Theory: Modeling and Analysis in Applications

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This introductory textbook is designed for a one-semester course on queueing theory that does not require a course on stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the work provides a sound foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students in mathematics, statistics, and applied disciplines such as computer science, operations research, and engineering. This edition includes additional topics in methodology and applications.

Key features:

• An introductory chapter including a historical account of the growth of queueing theory in more than 100 years.

• A modeling-based approach with emphasis on identification of models

• Rigorous treatment of the foundations of basic models commonly used in applications with appropriate references for advanced topics.

• A chapter on matrix-analytic method as an alternative to the traditional methods of analysis of queueing systems.

• A comprehensive treatment of statistical inference for queueing systems.

• Modeling exercises and review exercises when appropriate.

The second edition of An Introduction of Queueing Theory may be used as a textbook by first-year graduate students in fields such as computer science, operations research, industrial and systems engineering, as well as related fields such as manufacturing and communications engineering. Upper-level undergraduate students in mathematics, statistics, and engineering may also use the book in an introductory course on queueing theory. With its rigorous coverage of basic material and extensive bibliography of the queueing literature, the work may also be useful to applied scientists and practitioners as a self-study reference for applications and further research.

"...This book has brought a freshness and novelty as it deals mainly with modeling and analysis in applications as well as with statistical inference for queueing problems. With his 40 years of valuable experience in teaching and high level research in this subject area, Professor Bhat has been able to achieve what he aimed: to make [the work] somewhat different in content and approach from other books." - Assam Statistical Review of the first edition

Author(s): U. Narayan Bhat (auth.)
Series: Statistics for Industry and Technology
Edition: 2
Publisher: Birkhäuser Basel
Year: 2015

Language: English
Pages: 339
Tags: Statistical Theory and Methods; Probability Theory and Stochastic Processes; Mathematical Modeling and Industrial Mathematics; Sequences, Series, Summability; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scie

Front Matter....Pages i-xiv
Introduction....Pages 1-14
System Element Models....Pages 15-23
Basic Concepts in Stochastic Processes....Pages 25-36
Simple Markovian Queueing Systems....Pages 37-83
Imbedded Markov Chain Models....Pages 85-125
Extended Markov and Renewal Models....Pages 127-157
Queueing Networks....Pages 159-176
Matrix-Analytic Queueing Models....Pages 177-199
The General Queue G/G/1 and Approximations....Pages 201-214
Statistical Inference for Queueing Models....Pages 215-231
Decision Problems in Queueing Theory....Pages 233-238
Queueing Theory Applications in Manufacturing Systems....Pages 239-253
Queueing Theory Applications in the Analysis of Computer and Communication Systems....Pages 255-272
Simulating Queueing Systems....Pages 273-293
Back Matter....Pages 295-339