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Duality of the Max-Plus and Min-Plus Network Calculus - Jorg Liebeherr

Duality of the Max-Plus and Min-Plus Network Calculus

(Autor)

Buch | Softcover
156 Seiten
2017
now publishers Inc (Verlag)
978-1-68083-294-5 (ISBN)
CHF 156,25 inkl. MwSt
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Duality of the Max-Plus and Min-Plus Network Calculus gives an accessible and concise review of the research conducted in Network Calculus to date.
Network calculus is a methodology for performance evaluation of communication networks that expresses the analysis of networks in a min-plus or max-plus algebra. In these algebras, the conventional addition and multiplication operations are replaced by the minimum or maximum operation, respectively, and addition. This monograph gives an accessible and concise review of the research conducted in Network Calculus to date. In doing so, it unearths the question: why are min-plus and max- plus calculus not isomorphic whereas the underlying min-plus and max-plus algebras upon which they are based are? This question is fully investigated and the differences between a max-plus and min-plus analysis are presented. This enables scheduling algorithms with rate and delay guarantees by service curves of the network calculus to be characterized, leading to useful results for their use in network research. The monograph is of interest to students and researchers working on the mathematical theory of networks.

1: Introduction; 2 Opportunism and Receiver Diversity; 3 Opportunistic Distance Vector Routing; 4 Distributed Computation of the Optimal Distance; 5 Examples and Simulations; 6 Adaptive Opportunistic Routing; 7 Congestion Aware Opportunistic Routing; 8 Protocol Design and Implementation Issues; 9 Conclusions Appendix; References.

Erscheinungsdatum
Reihe/Serie Foundations and Trends in Networking
Verlagsort Hanover
Sprache englisch
Themenwelt Mathematik / Informatik Informatik Netzwerke
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 1-68083-294-8 / 1680832948
ISBN-13 978-1-68083-294-5 / 9781680832945
Zustand Neuware
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