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- 000 02709cam a2200289 a 4500
- 008 140208s2014 enka b 001 0 eng
- 020 __ |a 9781107058606 (hardback) : |c CNY512.62
- 040 __ |a DLC |b eng |c HDU |e rda |d DLC |d ECN
- 050 00 |a T57 |b .V36 2014
- 082 00 |a 003.01/5192 |2 23
- 100 1_ |a Van Mieghem, Piet.
- 245 10 |a Performance analysis of complex networks and systems / |c Piet Van Mieghem, Delft University of Technology.
- 260 __ |a Cambridge : |b Cambridge University Press, |c 2014.
- 300 __ |a xvi, 675 pages : |b illustrations ; |c 26 cm.
- 504 __ |a Includes bibliographical references (pages 663-672) and index.
- 505 8_ |a 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.
- 520 __ |a "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"--Provided by publisher.
- 650 _0 |a System analysis |x Mathematics.
- 650 _0 |a Computational complexity.
- 650 _0 |a Network analysis (Planning)