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The mathematics of controlling congestion2 mars 2011
Daniel O. Cajueiro
- Publié sur Amazon.com
This book is a very interesting introduction to the mathematics of internet congestion control. Although the book is clear, it requires that the reader is acquainted with some topics of numerical optimization (with penalty functions), convex analysis (very basic) , the Karush-Kuhn-Tuker theorem and Lyapunov stability. Most of these topics arise in a course of control theory.
Chapter 1 and 2 are introductions to the theme.
Chapter 3 is the most important chapter that introduces the contributions of Kelly et al. (1998) [Rate control for communication networks: shadow prices, proportional fairness and stability - Journal of the Operations Research Society] and Low and Lapsley (1999) [Optimization flow control - I: Basic algorithm and convergence - IEEE Transactions on Networking].
Chapter 4 presents other internet protocols. The other chapters are extensions of the main model.