Performance analysis of complex networks and systems /

"This rigorous, self-contained book describes mathematical and, in particular, stochastic and graph theoretic methods to assess the performance of complex networks and systems. It comprises three parts: the first is a review of probability theory; Part II covers the classical theory of stochast...

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Bibliographic Details
Main Author: Van Mieghem, Piet
Format: Printed Book
Published: Cambridge Cambridge University Press 2014
Subjects:
System analysis
Computational complexity.
Network analysis (Planning)
Online Access:http://assets.cambridge.org/97811070/58606/cover/9781107058606.jpg
Table of Contents:
  • Machine generated contents note: 1. Introduction; Part I. Probability Theory: 2. Random variables; 3. Basic distributions; 4. Correlation; 5. Inequalities; 6. Limit laws; Part II. Stochastic Processes: 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 queueing theory; 14. Queueing models; Part III. Network Science: 15. General characteristics of graphs; 16. The shortest path problem; 17. Epidemics in networks; 18. The efficiency of multicast; 19. The hopcount and weight to an anycast group; Appendix A. A summary of matrix theory; Appendix B. Solutions to problems.

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