Advances in Queueing Theory, Methods, and Open Problems

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CRC Press, Sep 18, 1995 - Business & Economics - 528 pages
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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.
  

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Contents

An Anthology of Classical Queueing Methods
1
Volker Schmidt Department of StochasticsUniversity of Ulm Helmholzstrasse
18
Queueing Methods in the Theory of Random Graphs
45
inlar Program in Statistics and Operations Research Department of Civil
78
Stationary Distributions via First Passage Times
79
An Introduction to Spatial Queues
103
SamplePath Techniques in Queueing Theory
119
MarkovAdditive Processes of Arrivals
167
MatrixAnalytic Methods in the Theory of Queues
265
Explicit WienerHopf Factorization for the Analysis of Multi
293
Applications of Singular Perturbation Methods in Queueing
311
The Spectral Expansion Solution Method for Markov Process
337
N U Prabhu Operations Research and Industrial Engineering Cornell University
338
Applications of Vector Riemann Boundary Value Problems
353
LightTraffic Approximation in Queues and Related Stochastic
379
Quantitative Estimates in Queueing
407

The ASTA Property
195
Jos H A de Smit Faculty of Applied Mathematics University of Twente P O
217
Campbells Formula and Applications to Queueing
225
Excess Level Processes in Queueing
243
Charles Knessl Department of Mathematics Statistics and Computer Science
249
Steady State Rare Events Simulation in Queueing Models and
429
PiecewiseLinear Diffusion Processes
463
Approximations of Queues via Small Parameter Method
481
Index
509
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Queueing Theory

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