Analysis of Queues : Methods and Applications book cover
SAVE
$13.79
1st Edition

Analysis of Queues
Methods and Applications





ISBN 9781138073067
Published March 29, 2017 by CRC Press
802 Pages 141 B/W Illustrations

 
SAVE ~ $13.79
was $68.95
USD $55.16

Prices & shipping based on shipping country


Preview

Book Description

Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case studies, paradoxes, and numerical examples.

In addition to the standard single-station and single class discrete queues, the book discusses models for multi-class queues and queueing networks as well as methods based on fluid scaling, stochastic fluid flows, continuous parameter Markov processes, and quasi-birth-and-death processes, to name a few. It describes a variety of applications including computer-communication networks, information systems, production operations, transportation, and service systems such as healthcare, call centers and restaurants.

Table of Contents

Introduction
Analysis of Queues: Where, What, and How?
Systems Analysis: Key Results
Queueing Fundamentals and Notations
Psychology in Queueing
Reference Notes
Exercises

Exponential Interarrival and Service Times: Closed-Form Expressions
Solving Balance Equations via Arc Cuts
Solving Balance Equations Using Generating Functions
Solving Balance Equations Using Reversibility
Reference Notes
Exercises

Exponential Interarrival and Service Times: Numerical Techniques and Approximations
Multidimensional Birth and Death Chains
Multidimensional Markov Chains
Finite-State Markov Chains
Reference Notes
Exercises

General Interarrival and/or Service Times: Closed-Form Expressions and Approximations
Analyzing Queues Using Discrete Time Markov Chains
Mean Value Analysis
Bounds and Approximations for General Queues
Matrix Geometric Methods for G/G/s Queues
Other General Queues but with Exact Results
Reference Notes
Exercises

Multiclass Queues under Various Service Disciplines
Introduction
Evaluating Policies for Classification Based on Types: Priorities
Evaluating Policies for Classification Based on Location: Polling Models
Evaluating Policies for Classification Based on Knowledge of Service Times
Optimal Service-Scheduling Policies
Reference Notes
Exercises

Exact Results in Network of Queues: Product Form
Acyclic Queueing Networks with Poisson Flows
Open Jackson Networks
Closed Jackson Networks
Other Product-Form Networks
Reference Notes
Exercises

Approximations for General Queueing Networks
Single-Server and Single-Class General Queueing Networks
Multiclass and Multiserver Open Queueing Networks with FCFS
Multiclass and Single-Server Open Queueing Networks with Priorities
Reference Notes
Exercises

Fluid Models for Stability, Approximations, and Analysis of Time-Varying Queues
Deterministic Fluid Queues: An Introduction
Fluid Models for Stability Analysis of Queueing Networks
Diffusion Approximations for Performance Analysis
Fluid Models for Queues with Time-Varying Parameters
Reference Notes
Exercises

Stochastic Fluid-Flow Queues: Characteristics and Exact Analysis
Introduction
Single Buffer with Markov Modulated Fluid Source
First Passage Times
Reference Notes
Exercises

Stochastic Fluid-Flow Queues: Bounds and Tail Asymptotics
Introduction and Preliminaries
Performance Analysis of a Single Queue
Multiclass Fluid Queues
Reference Notes
Exercises

Appendix A: Random Variables
Appendix B: Stochastic Processes
References
Index

...
View More

Support Material

Ancillaries

  • Instructor Resources

    To gain access to the instructor resources for this title, please visit the Instructor Resources Download Hub.

    You will be prompted to fill out a regist