Petri net sensitivity analysis with respect to a structural change of a discrete event dynamic system

In this paper, a Petri net-based perturbation analysis method with respect to structural changes is presented. The structural change of a generalized stochastic Petri net will modify its underlying reachability graph and its invariants, and so one approach is to reevaluate the entire model. However, if one uses the Petri net´s structural properties, one can find the perturbed reachability graph without another analysis. Also, one can find the relationship between the original and new transition rate matrices. The net result is that less memory space is needed and less computational time is needed to get the state probability sensitivities and the performance sensitivities