DUALITY OF THE MAX-PLUS AND MIN-PLUS NETWORK CALCULUS

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.