
Stochastic Networks
Theory and Applications
Clarendon Press
Published on 5. September 1996
Book
Hardback
378 pages
978-0-19-852399-4 (ISBN)
Description
The theory of stochastic networks is an important and rapidly developing research area, driven in part by important industrial applications in the design and control of modern communications and manufacturing networks. This volume is a collections of invited papers written by some of the leading researchers in this field, and provides a comprehensive survey of current research and the very latest developments. With contributions from most of the world's foremost researchers the areas covered include the mathematical modelling and the optimal control of queueing and loss networks, and the statistical modelling and analysis of network data. Also containing a comprehensive and up-to-date bibliography of the statistical literature on long-range dependence and self-similarity in network traffic and other scientific and engineering applications this book will suit researchers, research institutes and industry throughout the world.
Reviews / Votes
...illuminate(s) many features of current research, letting us see its concerns and its style. * Journal of the Royal Statistical Society, Series A, vol. 160, part 2, June 1997 *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
Professional and scholarly
Illustrations
halftones, line figures
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 25 mm
Weight
734 gr
ISBN-13
978-0-19-852399-4 (9780198523994)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Author
Professor of Mathematics of SystemsProfessor of Mathematics of Systems, University of Cambridge
Senior Lecturer in StatisticsSenior Lecturer in Statistics, Heriot-Watt University
Lecturer in StatisticsLecturer in Statistics, University of Auckland
Content
1. Convergence to equilibria for fluid models of FIFO and processor sharing queueing networks ; 2. Optimal draining of fluid re-entrant lines: some solved examples ; 3. On the approximation of queueing networks in heavy traffic ; 4. The BIGSTEP approach to flow management in stochastic processing networks ; 5. Queue lengths and departures at single-server resources ; 6. Large deviations of stationary reflected Brownian motions ; 7. Limit theorems for workload input models ; 8. Notes on effective bandwidths ; 9. Traffic characterisation and effective bandwidths for broadband network traces ; 10. Nonparametric estimation for quantities of interest in queues ; 11. The asymptotic behaviour of large loss networks ; 12. Admission controls for loss networks with diverse routing ; 13. On load balancing in Erlang networks ; 14. Analysing system behaviour on different timescales ; 15. Optimal returns and suboptimality bounds for systems satisfying generalised conservation laws ; 16. Approximate solutions for open networks with breakdowns and repairs ; 17. Stationary ergodic Jackson networks: results and counter-examples ; 18. The Cesaro limit of departures from certain ./GI/1 queueing tandems ; 19. The Poisson-independence hypothesis for infintely-growing fully-connected packet-switching networks ; 20. A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks