Synopses & Reviews
The theory of stochastic networks is an important and rapidly developing research area, driven in part by industrial applications in the design and control of modern communications and manufacturing networks. This volume is a collection of papers written by leading researchers in the field, providing a comprehensive survey of current research and the very latest developments. Areas covered include the mathematical modeling and optimal control of queuing and loss networks; the use of large deviations theory and effective bandwidth concepts in analysis and control; and the statistical modeling and analysis of network data. The book also contains a comprehensive bibliography of the statistical literature on long-range dependence and self-similarity in network traffic and other scientific and engineering applications, which will be welcomed by researchers in universities, research institutes and industry.
Table of Contents
1. Convergence to Equilibria for Fluid Models of FIFO and Processor Sharing Queuing Networks,
Maury Bramson2. Optimal Draining of Fluid Re-Entrant Lines: Some Solved Examples, Gideon Weiss
3. On the Approximation of Queuing Networks in Heavy Traffic, Ruth J. Williams
4. The BIGSTEP Approach to Flow Management in Stochastic Processing Networks, J. Michael Harrison
5. Queue Lengths and Departures at Single-Server Resources, Neil O'Connell
6. Large Deviations of Stationary Reflected Brownian Motions, Kurt Majewski
7. Limit Theorems for Workload Input Models, Thomas G. Kurtz
8. Notes on Effective Bandwidths, Frank Kelly
9. Traffic Characterization and Effeective Bandwidths for Broadband Network Traces, R. J. Gibbens
10. Nonparametric Estimation for Quantities of Interest in Queues, Susan M. Pitts
11. The Asymptotic Behavior of Large Loss Networks, Stan Zachary
12. Admission Controls for Loss Networks with Diverse Routing, Iain MacPhee and Ilze Ziedens
13. On Load Balancing in Erlang Networks, Murat Alanyali and Bruce Hajek
14. Analyzing System Behavior on Different Timescales, Suzanne P. Evans
15. On Optimal Returns and Suboptimality Bounds for Systems Satisfying Generalized Conservation Laws, R. Garbe and K.D. Glazebrook
16. Approximate Solutions for Open Networks with Breakdowns and Repairs, Ram Chakka and Isi Mitrani
17. Stationary Ergodic Jackson Networks: results and Counter-Examples, Francois Baccelli, Serguei Foss, and Jean Mairesse
18. The Cesaro Limit of Departures from Certain ./GI/1 queuing tandems, T. Mountford and B. Prabhakar
19. The Poisson-Independence Hypothesis for Infinitely-Growing Fully-Connected Packet-Switching Networks, Yu M. Suhov and D.M. Rose
20. A Bibliographical Guide to Self-Similar Traffic and Performance Modeling for Modern High-Speed Networks, Walter Willinger, Murad S. Taqqu, and Ashok Erramilli