As some structural properties, like generative families of positive P-invariants, can only be computed in P/T nets, unfolding of Colored Petri Nets is of interest. However, it may generate huge nets that cannot be stored concretely in memory. In some cases, removing the dead parts of the unfolded net can dramatically reduce its size, but this operation requires the unfolded net to be represente...

This paper presents an analytical approach for the analysis of non-Markovian stochastic Petri nets. The primary aim of the presented solution method is its universal applicability. Therefore, an approach based on discrete phase type distributions has been chosen to perform the necessary Markovization. For the handling of the resulting state space explosion problem, symbolic storage structures, ...

Colored Petri Nets (CPNs) extend the classical Petri net formalism with data, time, and hierarchy. These extensions make it possible to model complex processes as CPNs without being forced to abstract from relevant aspects. Moreover, CPNs are supported by CPN Tools—a powerful toolset that supports the design and analysis of such processes. The expressiveness of the CPN language enables differen...

thesis of feedback c o n trol logic for a class of controlled Petri nets. Stability and stabilizability o f b e h a vior of discrete event dynamical systems. Some tractable supervisory control problems for discrete-event systems modeled by B u c hi automata.visory control of concurrent discrete-event s y stems .

The unfolding of (1-)safe Petri nets to occurrence nets is well understood. There is a universal characterization of the unfolding of a safe net which is part and parcel of a coreflection from the category of occurrence nets to the category of safe nets. The unfolding of general Petri nets, nets with multiplicities on arcs whose markings are multisets of places, does not possess a directly anal...

At present, the resource modeling of workflow net (WF-net) are too simple to describe complex workflow. Thus, its application is not satisfying in practical use. Based on the analysis of resource management problems, unified resources management which gets the identical resource request and release process is proposed. The method of identical resource-modeling reduces complexity of WF-net model...

We address the problem of unfolding safe parametric stopwatch time Petri nets (PSwPNs), i.e., safe time Petri nets (TPNs) possibly extended with time parameters and stopwatches. We extend the notion of branching process to account for the dates of the occurrences of events and thus define a symbolic unfolding for PSwPNs. In the case of TPNs we also propose a method based on our so-called time b...

We present a symbolic approach to the calculation of siphons and traps for algebraic Petri nets where the color domains are speci ed without equations and with at most unary operation symbols