Fundamentals of Queueing Theory: Solutions Manual to accompany Fundamentals of Queueing Theory, 4e Solutions Manual
7%
off

Fundamentals of Queueing Theory: Solutions Manual to accompany Fundamentals of Queueing Theory, 4e Solutions Manual

4.64 (25 ratings by Goodreads)
By (author)  , By (author)  , By (author)  , By (author) 

Free delivery worldwide

Available. Dispatched from the UK in 3 business days
When will my order arrive?

Description

Praise for the Third Edition "This is one of the best books available. Its excellent organizational structure allows quick reference to specific models and its clear presentation ...solidifies the understanding of the concepts being presented." - IIE Transactions on Operations Engineering Thoroughly revised and expanded to reflect the latest developments in the field, Fundamentals of Queueing Theory , Fourth Edition continues to present the basic statistical principles that are necessary to analyze the probabilistic nature of queues. Rather than presenting a narrow focus on the subject, this update illustrates the wide-reaching, fundamental concepts in queueing theory and its applications to diverse areas such as computer science, engineering, business, and operations research. This update takes a numerical approach to understanding and making probable estimations relating to queues, with a comprehensive outline of simple and more advanced queueing models.
Newly featured topics of the Fourth Edition include: Retrial queues Approximations for queueing networks Numerical inversion of transforms Determining the appropriate number of servers to balance quality and cost of service Each chapter provides a self-contained presentation of key concepts and formulae, allowing readers to work with each section independently, while a summary table at the end of the book outlines the types of queues that have been discussed and their results. In addition, two new appendices have been added, discussing transforms and generating functions as well as the fundamentals of differential and difference equations. New examples are now included along with problems that incorporate QtsPlus software, which is freely available via the book's related Web site. With its accessible style and wealth of real-world examples, Fundamentals of Queueing Theory , Fourth Edition is an ideal book for courses on queueing theory at the upper-undergraduate and graduate levels. It is also a valuable resource for researchers and practitioners who analyze congestion in the fields of telecommunications, transportation, aviation, and management science.
show more

Product details

  • Paperback | 88 pages
  • 159 x 230 x 7mm | 134g
  • New York, United States
  • English
  • 4th ed.
  • 0470077964
  • 9780470077962
  • 1,362,467

Table of contents

Dedication v
Preface xi


Acknowledgments xiii


Introduction 1


Description of the Queueing Problem 2


Characteristics of Queueing Processes 3


Notation 7


Measuring System Performance 8


Some General Results 9


Simple Data Bookkeeping for Queues 12


Poisson Process and the Exponential Distribution 16


Markovian Property of the Exponential Distribution 20


Stochastic Processes and Markov Chains 24


Introduction to the QtsPlus Software 40


Problems 41


Simple Markovian Queueing Models 49


Birth-Death Processes 49


Single-Server Queues (M/M/1) 53


Multiserver Queues (M/M/c) 66


Choosing the Number of Servers 73


Queues with Truncation (M/M/c/K) 76


Erlang's Loss Formula (M/M/c/c) 81


Queues with Unlimited Service (M/M/[infinity]) 84


Finite-Source Queues 85


State-Dependent Service 91


Queues with Impatience 95


Transient Behavior 97


Busy-Period Analysis 102


Problems 103


Advanced Markovian Queueing Models 117


Bulk Input (M[superscript X]/M/1) 117


Bulk Service (M/M[superscript Y]/1) 123


Erlangian Models 128


Priority Queue Disciplines 141


Retrial Queues 157


Problems 171


Networks, Series, and Cyclic Queues 179


Series Queues 181


Open Jackson Networks 187


Closed Jackson Networks 195


Cyclic Queues 209


Extensions of Jackson Networks 210


Non-Jackson Networks 212


Problems 214


General Arrival or Service Patterns 219


General Service, Single Server (M/G/1) 219


General Service, Multiserver (M/G/c/[infinity], M/G/[infinity]) 254


General Input (G/M/1, G/M/c) 259


Problems 270


General Models and Theoretical Topics 277


G/E[subscript k]/1, G[superscript k]/M/1, and G/PH[subscript k]/1 277


General Input, General Service (G/G/1) 284


Poisson Input, Constant Service, Multiserver (M/D/c) 294


Semi-Markov and Markov Renewal Processes in Queueing 296


Other Queue Disciplines 301


Design and Control of Queues 306


Statistical Inference in Queueing 317


Problems 325


Bounds and Approximations 329


Bounds 330


Approximations 343


Network Approximations 356


Problems 367


Numerical Techniques and Simulation 369


Numerical Techniques 369


Numerical Inversion of Transforms 385


Discrete-Event Stochastic Simulation 398


Problems 421


References 427


Symbols and Abbreviations 439


Tables 447


Transforms and Generating Functions 455


Laplace Transforms 455


Generating Functions 462


Differential and Difference Equations 467


Ordinary Differential Equations 467


Difference Equations 483


QtsPlus Software 489


Instructions for Downloading 493


Index 495
show more

Review quote

"Despite its title, the book is rather advanced, so it is appropriate for practitioners, those in academia, and upper-class students. However, any reader will benefit from the concise introductions to the problems, the detailed descriptions supported with step-by-step formulas, the solutions provided by the manual, and the QtsPlus software." (Computing Reviews, 1 December 2011)
show more

About Donald Gross

Donald Gross is the author of Solutions Manual to accompany Fundamentals of Queueing Theory, 4e, published by Wiley. John F. Shortle is the author of Solutions Manual to accompany Fundamentals of Queueing Theory, 4e, published by Wiley.
show more

Rating details

25 ratings
4.64 out of 5 stars
5 72% (18)
4 20% (5)
3 8% (2)
2 0% (0)
1 0% (0)
Book ratings by Goodreads
Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X