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

Jorg Liebeherr

ISBN 10: 1680832948 / ISBN 13: 9781680832945

Editore: now publishers Inc, 2017

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This item is printed on demand. New copy - Usually dispatched within 5-9 working days 526. Codice articolo C9781680832945

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Titolo: Duality of the Max-Plus and Min-Plus Network...

Casa editrice: now publishers Inc

Data di pubblicazione: 2017

Legatura: Paperback / softback

Condizione: New

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Riassunto:

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.