ISBN-10:
052110873X
ISBN-13:
9780521108737
Pub. Date:
04/09/2009
Publisher:
Cambridge University Press
Performance Analysis of Communications Networks and Systems

Performance Analysis of Communications Networks and Systems

by Piet Van MieghemPiet Van Mieghem

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Overview

This rigorous and self-contained book describes mathematical and, in particular, stochastic methods to assess the performance of networked systems. It consists of three parts. Part one is a review of probability theory. Part two covers the classical theory of stochastic processes (Poisson, renewal, Markov, and queuing theory), which are considered to be the basic building blocks for performance evaluation studies. Part three focuses on the relatively new field of the physics of networks. This part deals with the recently obtained insights that many very different large complex networks - such as the Internet, World Wide Web, proteins, utility infrastructures, social networks - evolve and behave according to more general common scaling laws. This understanding is useful when assessing the end-to-end quality of communications services, for example, in Internet telephony, real-time video, and interacting games. Containing problems and solutions, this book is ideal for graduate students taking courses in performance analysis.

Product Details

ISBN-13: 9780521108737
Publisher: Cambridge University Press
Publication date: 04/09/2009
Edition description: New Edition
Pages: 544
Product dimensions: 6.70(w) x 9.60(h) x 1.20(d)

About the Author

Piet F. A. Van Mieghem is a professor at the Delft University of Technology with a chair in telecommunication networks and is chairman of the Network Architectures and Services (NAS) group. His main research interests lie in new Internet-like architectures for future, broadband and QoS-aware networks and in the modelling and performance analysis of network behavior and complex infrastructures.

Table of Contents

1. Introduction; 2. Random variables; 3. Basic distributions; 4. Correlation; 5. Inequalities; 6. Limit laws; 7. The Poisson process; 8. Renewal theory; 9. Discrete time Markov chains; 10. Continuous time Markov chains; 11. Applications of Markov chains; 12. Branching processes; 13. General queuing theory; 14. Queuing models; 15. General characteristics of graphs; 16. The shortest path problem; 17. The efficiency of multicast; 18. The hop count to an any cast group; Appendix A. Stochastic matrices; Appendix B. Algebraic graph theory; Appendix C. Solutions of problems; Bibliography; Index.

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