Abstract

In network calculus, a special class of teletraffic networks is formulated, saying only that they are linear, causal and time-invariant. Their network calculus representations use, however, other type of convolution, with the infimum operation, and also another algebra, called min-plus algebra. Therefore, it must be checked whether they really have the following properties: linearity, causality, time-invariance, associativity and commutativity. This paper presents a thorough treatment of the subject, provided with the needed mathematical details.

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