Asymptotic identity in min-plus algebra: a report on CPNS.

*(English)*Zbl 1233.68032Summary: Network calculus is a theory initiated primarily in computer communication networks, especially with respect to the aspect of real-time communication, where min-plus algebra plays a role. Cyber-physical networking systems (CPNSs) are recently developing fast, and models of data flow as well as systems in CPNSs are, accordingly, greatly desired. Though min-plus algebra may be a promising tool to linearize any node in CPNSs, as can be seen from its applications to Internet computing, there are tough problems remaining unsolved in this regard. The identity in a min-plus algebra is one problem we address. We point out the confusion about the conventional identity in a min-plus algebra and present an analytical expression of the asymptotic identity that may not cause confusion.

##### Keywords:

computer communication networks; min-plus algebra; cyber-physical networking systems; real-time communication
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\textit{M. Li} and \textit{W. Zhao}, Comput. Math. Methods Med. 2012, Article ID 154038, 11 p. (2012; Zbl 1233.68032)

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