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Allocating resources of weighted T-system for adaptive behaviour

Author

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  • Abderrahim Benfekir
  • Samir Hamaci
  • Moumen Darcherif

Abstract

We study a subclass of discrete event systems, modelled by timed event graphs with multipliers (TEGM). 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 non-linearity is due to the presence of the weights on arcs. In this paper, we are particularly interested to the problem of allocating an initial marking in a TEGM for a desired cycle time. For this, to define the marking of some places, we proceed by linearisation of the mathematical model reflecting the behaviour of a TEGM in order to obtain a (min, +) linear model. From the latter, we determine the marking which satisfies the desired cycle time.

Suggested Citation

  • Abderrahim Benfekir & Samir Hamaci & Moumen Darcherif, 2012. "Allocating resources of weighted T-system for adaptive behaviour," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 14(1), pages 31-49.
    • Handle: RePEc:ids:ijores:v:14:y:2012:i:1:p:31-49
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