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.
1. Convergence to Equilibria for Fluid Models of FIFO and Processor Sharing Queuing Networks,Maury Bramson 2. 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 IlzelS.