Abstract

We deal with the reduction of timed event graphs with multipliers to timed event graphs without multipliers which allows (min, +) linear representations of graphs. The proposed linearization method uses an algebra defined on a set of operators and endowed with the pointwise minimum as addition and the composition as multiplication. The method considers a change of variables which does not increase the number of transitions of graph, but the graph is supposed consistent and conservative and its (unique) elementary T-semiflow has at least one component equal to one.

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