Advances in Queueing Theory, Methods, and Open Problems

by Dshalalow; Jewgeni H.

• ISBN13: 9780849380747
• ISBN10: 084938074X
• Edition: 1st
• Format: Hardcover
• Copyright: 1995-09-18
• Publisher: CRC Press

Summary

The progress of science and technology has placed Queueing Theory among the most popular disciplines in applied mathematics, operations research, and engineering. Although queueing has been on the scientific market since the beginning of this century, it is still rapidly expanding by capturing new areas in technology. Advances in Queueing provides a comprehensive overview of problems in this enormous area of science and focuses on the most significant methods recently developed.Written by a team of 24 eminent scientists, the book examines stochastic, analytic, and generic methods such as approximations, estimates and bounds, and simulation. The first chapter presents an overview of classical queueing methods from the birth of queues to the seventies. It also contains the most comprehensive bibliography of books on queueing and telecommunications to date. Each of the following chapters surveys recent methods applied to classes of queueing systems and networks followed by a discussion of open problems and future research directions.Advances in Queueing is a practical reference that allows the reader quick access to the latest methods.

Table of Contents

An Anthology of Classical Queueing Methods, J.H. Dshalalow

Stochastic Methods

Queueing Methods in the Theory of Random Graphs, L. Takßcs

Stationary Distributions via First Passage Times, S. Asmussen

An Introduction to Spatial Queues, E. ¦inlar

Sample-Path Techniques in Queueing Theory, S. Stidham , Jr. and M. El-Taha

Markov-Additive Processes of Arrivals, A. Pacheco and N.U. Prabhu

The ASTA Property, B. Melamed and D.D. Yao

Campbell's Formula and Applications to Queueing, V. Schmidt and R.F. Serfozo

Excess Level Processes in Queueing, J.H. Dshalalow

Analytic Methods

Matrix-Analytic Methods in the Theory of Queues, M.F. Neuts

Explicit Wiener-Hopf Factorization for the Analysis of Multi-Dimensional Queues, J.H.A. de Smit

Applications of Singular Perturbation Methods in Queueing, C. Knessl and C. Tier

The Spectral Expansion Solution Method for Markov Processes on Lattice Strips, I. Mitrani

Applications of Vector Riemann Boundary Value Problems to Analysis of Queueing Systems, A. Dukhovny

Approximation, Estimates, and Simulation of Queues

Light-Traffic Approximation in Queues and Related Stochastic Models, B. Blaszczyszyn, T. Rolski, and V. Schmidt

Quantitative Estimates in Queueing, V.V. Kalashnikov

Steady State Rare Events Simulation in Queueing Models and its Complexity Properties, S. Asmussen and R.Y. Rubinstein.

Piecewise-Linear Diffusion Processes, S. Browne and W. Whitt

Approximations of Queues via Small Parameter Method, I.N. Kovalenko