000 02647cam a22002775a 4500
001 18037158
005 20160113144844.0
008 140208s2014 enka b 001 0 eng
020 _a9781107058606 (hardback)
040 _aDLC
_beng
_cDLC
_dDLC
_dEG-ScBUE
082 0 4 _a003.015192
_222
_bVAN
100 1 _aVan Mieghem, Piet.
_937105
245 1 0 _aPerformance analysis of complex networks and systems /
_cPiet Van Mieghem.
260 _aCambridge :
_bCambridge University Press,
_cc.2014.
300 _axvi, 675 p. :
_bill. ;
_c26 cm.
500 _aIndex : p. 673-675.
504 _aBibliography : p. 663-672.
505 8 _aMachine 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"--
650 7 _aSystem analysis
_xMathematics.
_2BUEsh
_939046
650 7 _aComputational complexity.
_2BUEsh
_911175
650 7 _aNetwork analysis (Planning)
_2BUEsh
_935688
651 _2BUEsh
653 _bCOMSCI
_cJuly2015
_cJanuary2016
942 _2ddc
999 _c20372
_d20344