The Mathematics of Internet Congestion Control

Congestion control algorithms were implemented for the Internet nearly twodecades ago but mathematical models of congestion control in such a largescale network... » 

Congestion control algorithms were implemented for the Internet nearly twodecades ago but mathematical models of congestion control in such a largescale network are relatively new. This text presents models for the developmentof new protocols that can help make Internet data transfers virtually loss anddelayfree. Introduced are tools from optimization control theory andstochastic processes integral to the study of congestion control algorithms.Intended for graduate students and researchers in systems theory and computerscience the text assumes basic knowledge of firstyear graduatelevel controltheory optimization and stochastic processes but the key prerequisites aresummarized in an appendix for quick reference. The works wide range ofapplications to the study of both new and existing protocols and controlalgorithms make the book of interest to researchers and students concerned withmany aspects of largescale information flow on the Internet. TOCPreface.Introduction. Resource Allocation. Congestion Control A DecentralizedSolution. Relationship to Current Internet Protocols. Linear Analysis withDelay The single link Case. Linear Analysis with Delay The network case.Global Stability for a Single Link and Single Flow. Stochastic Models andtheir Deterministic Limits. Connectionlevel Models. RealTime Sources andDistributed Admission Control. Conclusions. References. Index. «