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Stochastic Networks F. P. Kelly (Professor of Mathematics of Systems, Professor of Mathematics of Systems, University of Cambridge)

Stochastic Networks By F. P. Kelly (Professor of Mathematics of Systems, Professor of Mathematics of Systems, University of Cambridge)

Summary

This work provides a comprehensive survey of current research and developments in the field of stochastic networks. It focuses on mathematical modelling, optimal control, and the statistical analysis of network traffic.

Stochastic Networks Summary

Stochastic Networks: Theory and Applications by F. P. Kelly (Professor of Mathematics of Systems, Professor of Mathematics of Systems, University of Cambridge)

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.

Stochastic Networks Reviews

...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 *

Table of Contents

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

Additional information

NPB9780198523994
9780198523994
0198523998
Stochastic Networks: Theory and Applications by F. P. Kelly (Professor of Mathematics of Systems, Professor of Mathematics of Systems, University of Cambridge)
New
Hardback
Oxford University Press
1996-09-05
378
N/A
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