Conclusion

In this article, the dynamic behavior of SEDs in the algebra of dioids has been addressed. For a class of such systems, which are modelable by GETs, this behavior can be represented by linear recurrent equations in this particular algebraic structure.

It turns out that, when the size of these graphs is large, the theory used to analyze them reaches its limits. The use of GETGs to reduce the size and complexity of these models is proving effective.

Unfortunately, these graphs do not admit a linear representation in the dioid algebra, due to the presence of weights on the arcs. These result in non-linear behavior in the mathematical model governing the dynamic evolution of these graphs in the dioid algebra. In order to apply some basic results of the theory used for the performance evaluation of GETs, a method of linearization of the mathematical...