Piet Van Mieghem

Performance Analysis of Complex Networks and Systems

• Gebundenes Buch

Produktbeschreibung

Provides the mathematical, stochastic and graph theoretic methods to analyse the performance and robustness of complex networks and systems.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 692
• Erscheinungstermin: 14. Dezember 2017
• Englisch
• Abmessung: 250mm x 175mm x 41mm
• Gewicht: 1353g
• ISBN-13: 9781107058606
• ISBN-10: 1107058600
• Artikelnr.: 40843339

Autorenporträt

Piet Van Mieghem is a Professor at the Delft University of Technology with a chair in telecommunication networks, and chairman of the Network Architectures and Services (NAS) section. His main research interests lie in the modeling and analysis of complex networks (such as biological, brain, social, infrastructural, and so on) and in new Internet-like architectures and algorithms for future communications networks.

Inhaltsangabe

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.