Performance evaluation of nonlinear weighted T-system

A. Benfekir, S. Hamaci, J.-L. Boimond and K. Labadi

International Journal of Systems Science, 2013, vol. 44, issue 10, 1948-1955

Abstract: This article deals with the analysis of discrete event systems which can be modelled by timed event graphs with multipliers (TEGMs). These graphs are an extension of weighted T-systems studied in the Petri net literature. These models do not admit a linear representation in (min, +) algebra. This nonlinearity is due to the presence of weights on arcs. To mitigate this problem of nonlinearity and to apply some basic results used to analyse the performances of linear systems in dioid algebra, we propose a linearisation method of mathematical model reflecting the behaviour of a TEGM in order to obtain a (min, +) linear model.

Date: 2013
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DOI: 10.1080/00207721.2012.670306

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