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

Damien Guidolin--Pina (1) , Marc Boyer (2)

1 RTaW - Realtime-at-Work
2 DTIS, ONERA, Université de Toulouse [Toulouse]

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.

Domaines: Performance et fiabilité [cs.PF]; Modélisation et simulation; Réseaux et télécommunications [cs.NI]; Systèmes embarqués

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