Timed marked graphs, a special class of Petri nets, are extensively used to model and
analyze cyclic manufacturing systems. Weighted marked graphs are convenient to model …

In this paper, we consider a truck dock assignment problem. The constaints are: the number
of trucks exceeds the number of docks available and we evaluate the time constaint in the …

We are interested in the performance evaluation of timed event graphs with multipliers. The
dynamical equation modelling such graphs are nonlinear in (min,+) algebra. This …

We are interested in the performance evaluation of timed event graphs with multipliers. The
dynamical equation modelling such graphs are nonlinear in (min,+) algebra. This …

This paper deals with the study of the behaviour of a large class of Petri net: weighted T-
systems (WTS). We recall recent results which propose to linearize WTS on a marked graph …

The theory of Discrete Event Dynamic Systems focuses on the analysis and conduct
systems. This class essentially contains man-made systems that consist of a finite number of …

In the last decades, there has been a constant increase in the awareness of company
management about the importance of formal techniques in industrial settings to address …

This paper is a consequence of further works which deal with the linear character of
weighted T-systems in dioids like (max,+) or (min,+). Our objective is to propose an algebraic …