Looking for equivalences of the services between left and right continuity in the Network Calculus theory - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2022

Looking for equivalences of the services between left and right continuity in the Network Calculus theory

Damien Guidolin--Pina
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Abstract

The Network Calculus theory allows to compute upper bounds on delays and memory usage in data networks. The mathematical foundations rely on piecewise-continuous functions being, depending on the authors, either left-or right-continuous. It is then impossible to use all existing results in a single analysis, since the hypotheses are incompatibles. This paper shows how, under some reasonable assumptions, it is possible to project property from left-continuous word to rightcontinuous world, and vice-versa.
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Dates and versions

hal-03772867 , version 1 (08-09-2022)

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  • HAL Id : hal-03772867 , version 1

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Damien Guidolin--Pina, Marc Boyer. Looking for equivalences of the services between left and right continuity in the Network Calculus theory. 2022. ⟨hal-03772867⟩

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