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001 CR9781107415874
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008 130724s2014||||enk o ||1 0|eng|d
020 _a9781107415874 (ebook)
020 _z9781107058606 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aT57
_b.V36 2014
082 0 0 _a003.01/5192
_223
100 1 _aVan Mieghem, Piet,
_eauthor.
245 1 0 _aPerformance analysis of complex networks and systems /
_cPiet Van Mieghem, Delft University of Technology.
246 3 _aPerformance Analysis of Complex Networks & Systems
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xvi, 675 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
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 _aThis 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 0 _aSystem analysis
_xMathematics.
650 0 _aComputational complexity.
650 0 _aNetwork analysis (Planning)
776 0 8 _iPrint version:
_z9781107058606
856 4 0 _uhttps://doi.org/10.1017/CBO9781107415874
907 _a.b16843411
_b2020-12-22
_c2020-12-22
942 _n0
998 _a1
_b2020-12-22
_cm
_da
_feng
_genk
_y0
_z.b16843411
999 _c651685
_d651685