02647cam a22002775a 4500 18037158 20160113144844.0 140208s2014 enka b 001 0 eng 9781107058606 (hardback) DLC eng DLC DLC EG-ScBUE 003.015192 22 VAN Van Mieghem, Piet. 37105 Performance analysis of complex networks and systems / Piet Van Mieghem. Cambridge : Cambridge University Press, c.2014. xvi, 675 p. : ill. ; 26 cm. Index : p. 673-675. Bibliography : p. 663-672. 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. "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 stochastic processes (Poisson, Markov and queueing theory), which are considered to be the basic building blocks for performance evaluation studies; Part III focuses on the rapidly expanding new field of network science. This part deals with the recently obtained insight that many very different large complex networks - such as the Internet, World Wide Web, metabolic and human brain networks, utility infrastructures, social networks - evolve and behave according to general common scaling laws. This understanding is useful when assessing the end-to-end quality of Internet services and when designing robust and secure networks. Containing problems and solved solutions, the book is ideal for graduate students taking courses in performance analysis"-- System analysis Mathematics. BUEsh 39046 Computational complexity. BUEsh 11175 Network analysis (Planning) BUEsh 35688 BUEsh COMSCI July2015 January2016 ddc 20372 20344 0 0 ddc 0 0 Baccah MAIN MAIN LOW 2015-07-28 Purchase 1350.00 21759 0 003.015192 VAN 000030663 2025-07-15 00:00:00 1688.00 BB