Sizing of an industrial plant under tight time constraints using two complementary approaches: (max,+) algebra and computer simulation

In this article (max,+) spectral theory results are applied in order to solve the problem of sizing in a real-time constrained plant. The process to control is a discrete event dynamic system without conflict. Therefore, it can be modeled by a timed event graph, a class of Petri net, whose behavior can be described with linear equations in the (max,+) algebra. First the sizing of the process without constraint is solved. Then we propose to design a simulation model of the plant to validate the sizing of the process.