Allocating resources of weighted T-system for adaptive behaviour

Abderrahim Benfekir, Samir Hamaci and Moumen Darcherif

International Journal of Operational Research, 2012, vol. 14, issue 1, 31-49

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.

Keywords: timed Petri nets; timed event graphs; (min, +) algebra; cycle time; linearisation; resource allocation; mathematical modelling; weighted T-systems; discrete event systems; adaptive behaviour. (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=46342 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:14:y:2012:i:1:p:31-49

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().