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Performance Analysis of Communications Networks and Systems

Performance Analysis of Communications Networks and Systems

  • Date Published: April 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521108737

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  • This rigourous and self-contained book describes mathematical and, in particular, stochastic methods to assess the performance of networked systems. It consists of three parts. The first part is a review on 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.

    • Self-contained with problems and solutions for self-study
    • Emphasis on rigorous mathematical derivations providing methods to solve real network problems analytically
    • Some detailed proofs are given in footnote size to denote text that can be skipped at first reading
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    Product details

    • Date Published: April 2009
    • format: Paperback
    • isbn: 9780521108737
    • length: 544 pages
    • dimensions: 244 x 170 x 28 mm
    • weight: 0.86kg
    • contains: 87 b/w illus. 3 tables 47 exercises
    • availability: Available
  • 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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    Performance Analysis of Communications Networks and Systems

    Piet Van Mieghem

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  • Author

    Piet Van Mieghem, Technische Universiteit Delft, The Netherlands
    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.

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