Optimal Design of Queueing Systems

Shaler Stidham Jr.

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English

Chapman & Hall/CRC
27 March 2009

Probability & statistics; Linear programming; Applied mathematics; Educational: Mathematics & numeracy

The First Comprehensive Book on the Subject Focusing on the underlying structure of a system, Optimal Design of Queueing Systems explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It considers various objectives, comparing individually optimal (Nash equilibrium), socially optimal, class optimal, and facility optimal flow allocations.

After an introduction to basic design models, the book covers the optimal arrival rate model for a single-facility, single-class queue as well as dynamic algorithms for finding individually or socially optimal arrival rates and prices. It then examines several special cases of multiclass queues, presents models in which the service rate is a decision variable, and extends models and techniques to multifacility queueing systems. Focusing on networks of queues, the final chapters emphasize the qualitative properties of optimal solutions.

Written by a long-time, recognized researcher on models for the optimal design and control of queues and networks of queues, this book frames the issues in the general setting of a queueing system. It shows how design models can control flow to achieve a variety of objectives.

By: Shaler Stidham Jr.
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Dimensions: Height: 234mm, Width: 156mm, Spine: 25mm
Weight: 657g
ISBN: 9781584880769
ISBN 10: 1584880767
Pages: 384
Publication Date: 27 March 2009
Audience: General/trade , College/higher education , ELT Advanced , A / AS level
Format: Hardback
Publisher's Status: Active

Preface. Introduction to Design Models. Optimal Arrival Rates in a Single-Class Queue. Dynamic Adaptive Algorithms: Stability and Chaos. Optimal Arrival Rates in a Multiclass Queue. Optimal Service Rates in a Single-Class Queue. Multifacility Queueing Systems: Parallel Queues. Single-Class Networks of Queues. Multiclass Networks of Queues. Appendix. References. Index.

University of North Carolina, Chapel Hill, USA