Performance Analysis of Communications Networks and Systems

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.

• 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.

"The monograph Performance Analysis of Communications Networks and Systems by Piet Van Mieghem, Professor of Delft University of Technology (Netherlands), can be recommended for graduate students and researchers working in the area of networking performance analysis...The book includes a lot of solved exercises and supplementary problems well suited for self-work, as well as an exhaustive bibliography...if you prefer fresh approaches and results within the area of probabilistic modeling of packet networks at the inevitable danger of being haunted by rigorous mathematical derivations, you must refer to van Mieghem's book." IEEE Communications Magazine