The paper presents the current status of the software tool TimeNET. It supports modeling and performance evaluation of stochastic models, including extended deterministic and stochastic Petri nets, colored stochastic Petri nets, and Markov chains as well as UML extensions. Among its main characteristics are simulation and analysis modules for stationary and transient evaluation of Petri nets in...

In this paper, the properties of higher-order neural networks are exploited in a new class of Petri nets, called higher-order Petri nets (HOPN). Using the similarities between neural networks and Petri nets this paper demonstrates how the McCullock-Pitts models and the higher-order neural networks can be represented by Petri nets. A 5-tuple HOPN is defined, a theorem on the relationship between...

This paper presents deadlock prevention are use to solve the deadlock problem of flexible manufacturing systems (FMS). Petri nets have been successfully as one of the most powerful tools for modeling of FMS. Their modeling power and a mathematical arsenal supporting the analysis of the modeled systems stimulate the increasing interest in Petri nets. With the structural object of Petri nets, sip...

Recursive Petri nets (RPNs) have been introduced to model systems with dynamic structure. Whereas this model is a strict extension of Petri nets and contextfree grammars (w.r.t. the language criterion), reachability in RPNs remains decidable. However the kind of model checking which is decidable for Petri nets becomes undecidable for RPNs. In this work, we introduce a submodel of RPNs called se...

Petri nets are a well-known and intensively studied model of concurrency often used to specify distributed or parallel systems. Vector addition systems with states are simply Petri nets provided control states. In this paper we introduce a natural partial order semantics for vector addition systems with states which extends the process semantics of Petri nets. The addition of control states to ...

 The present work is motivated by the need to consider stochastic behavior when planning production mix in a manufacturing system. Because methods that are suitable for planning are not always appropriate for modeling the systems and viceversa, two methods are combined here: systems are modeled using colored Petri nets and then converted into Markov decision processes. A special type of Petri ...

In this paper we address the following question: What type of event structures are suitable for representing the behaviour of general Petri nets? As a partial answer to this question we de ne a new class of event structures called local event structures and identify a subclass called UL-event structures. We propose that UL-event structures are appropriate for capturing the behaviour of general ...

Petri nets are used in many fields as modelling technique. The different usage areas and modelling objectives require different classes of Petri nets. Powerful high level Petri nets and especially coloured Petri nets are well suited for describing behavior of distributed information systems in order to verify and analyse them. Extended coloured Petri nets with structured marks are presented in ...

We consider the area of train control systems like the European Train Control Systems (ETCS) where several different scenarios are considered and related software components must cooperate effectively in order to achieve the desired system behavior. In order to specify operational behavior of ETCS high-level Petri net techniques have been identified as one of the most adequate formal specificat...

Petri nets are a subject of interest to researchers since more than 30 years. They became popular since they allow the graphic representation of computational structures and have a formal underpinning that allows formal proofs of properties. Their use in engineering, however is limited to a rather small number of applications. Many of the graphic notations used in practice are very similar to t...