Advances in Queueing Theory, Methods, and Open Problems
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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. Takács
Stationary Distributions via First Passage Times, S. Asmussen
An Introduction to Spatial Queues, E. Çinlar
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
Editorial Reviews
"The overall editing and production are excellent…There are many books on queueing theory, but I could find no other book that is directly comparable to this one…these authors are all major contributors to queueing theory, and their contributions all reflect the current state of the art. In conclusion, Advances in Queueing would be a welcome addition to the bookshelf of anyone with a scholarly interest in queueing theory."
- Computing Reviews, December 1998
