title: Asymptotic identity in min-plus algebra: a report on CPNS.
abstract: Network calculus is a theory initiated primarily in computer communication networks, especially in the aspect of real-time communications, where min-plus algebra plays a role. Cyber-physical networking systems (CPNSs) are recently developing fast and models in data flows as well as systems in CPNS are, accordingly, greatly desired. Though min-plus algebra may be a promising tool to linearize any node in CPNS as can be seen from its applications to the Internet computing, there are tough problems remaining unsolved in this regard. The identity in min-plus algebra is one problem we shall address. We shall point out the confusions about the conventional identity in the min-plus algebra and present an analytical expression of the asymptotic identity that may not cause confusions.
authors.affiliation: School of Information Science & Technology, East China Normal University, No. 500 Dong-Chuan Road, Shanghai 200241, China. ming_lihk@yahoo.com
authors.forename: Ming
authors.initials: M
authors.lastname: Li
authors.forename: Wei
authors.initials: W
authors.lastname: Zhao
mesh_terms: D000465:Algorithms; D003195:Computer Communication Networks; D003199:Computer Systems; D003201:Computers; D005583:Fourier Analysis; D020407:Internet; D008432:Mathematical Computing; D015233:Models, Statistical; D008962:Models, Theoretical