Stochastic Networks:Theory and Applications

图书简介

The theory of stochastic networks is an important and rapidly developing research area, driven in part by important industrial applications. This book provides a comprehensive survey of current research and the latest developments in the field. It focuses on mathematical modelling, optimal control, and the statistical analysis of network traffic. It also includes a comprehensive bibliography on the analysis of time series data with long-range dependence.

1 Maury Bramson: Convergence to equilibria for fluid models of FIFO and processor sharing queueing networks; 2 Gideon Weiss: Optimal draining of fluid re-entrant lines: some solved examples; 3 Ruth J. Williams: On the approximation of queueing networks in heavy traffic; 4 J. Michael Harrison: The BIGSTEP approach to flow management in stochastic processing networks; 5 Neil O’Connell: Queue lengths and departures at single-server resources; 6 Kurt Majewski: Large deviations of stationary reflected Brownian motions; 7 Thomas G. Kurtz: Limit theorems for workload input models; 8 Frank Kelly: Notes on effective bandwidths; 9 R.J. Gibbens: Traffic characterisation and effective bandwidths for broadband network traces; 10 Susan M. Pitts: Nonparametric estimation for quantities of interest in queues; 11 Stan Zachary: The asymptotic behaviour of large loss networks; 12 Iain MacPhee and Ilze Ziedins: Admission controls for loss networks with diverse routing; 13 Murat Alanyali and Bruce Hajek: On load balancing in Erlang networks; 14 Suzanna P. Evans: Analysing system behaviour on different timescales; 15 R. Garbe and K.D. Glazebrook: Optimal returns and suboptimality bounds for systems satisfying generalised conservation laws; 16 Ram Chakka and Isi Mitrani: Approximate solutions for open networks with breakdowns and repairs; 17 Stationary ergodic Jackson networks: results and counter-examples; 18 T. Mountford and B. Prabhakar: The Cesaro limit of departures from certain ./GI/1 queueing tandems; 19 Yu M. Suhov and D.M. Rose: The Poisson-independence hypothesis for infintely-growing fully-connected packet-switching networks; 20 Walter Willinger, Murad S. Taqqu, and Ashok Erramilli: A bibliographical guide to self-similar traffic and performance modeling for modern high-speed networks

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Stochastic Networks:Theory and Applications（Royal Statistical Society Series） 概率论

Stochastic Networks:Theory and Applications（Royal Statistical Society Series）
概率论