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.