In [Z. Ding, H. Bunke, M. Schneider, A. Kandel, Fuzzy timed Petri net — definitions, properties and applications, Math. Comput. Modelling (2005) (in press)], we posed two fuzzy timed Petri Net models. Based on the mark changing rate, they can be classified either as a discrete Fuzzy Timed Petri Net model (discrete-FTPN), or as a continuous Fuzzy Timed Petri Net model (continuous-FTPN). In this ...

Petri nets are formal models of systems which exhibit concurrent activities. As formal models, Petri nets are bipartite directed graphs, in which the two types of vertices represent, in a very general sense, conditions and events. In order to study performance aspects of systems modeled by Petri nets, the durations of modeled activities must also be taken into account. This can be done in diffe...

Practical experiences show that only timed and coloured Petri nets are capable of modelling large and complex real-time systems. This is the reason we present the Interval Timed Coloured Petri Net (ITCPN) model. An interval timed coloured Petri net is a coloured Petri net extended with time; time is in tokens and transitions determine a delay for each produced token. This delay is speciied by a...

Petri Net being one of the most useful graphical tools for modelling complex asynchronous systems, we have used Petri Net to model multi-track railway level crossing system. The roadway has been augmented with four half-size barriers. For better control, a three stage control mechanism has been introduced to ensure that no road-vehicle is trapped on the level crossing. Timed Petri Net is used t...

In this paper, Hybrid Petri Nets are proposed as a modelling methodology to control production in a large class of manufacturing processes. A hybrid Petri net (HPN) is a combination of a ‘classical’ Petri net and a continuous Petri net, the ‘fluid’ version of a timed Petri net. The two parts of an HPN can affect each other. In the particular model proposed, the discrete part of the HPN ‘regulat...

Practical experiences show that only timed and coloured Petri nets are capable of modelling large and complex real-time systems. This is the reason we present the Interval Timed Coloured Petri Net (ITCPN) model. An interval timed coloured Petri net is a coloured Petri net extended with time; time is in tokens and transitions determine a delay for each produced token. This delay is specified by ...

It is well known that the Petri net reachability is equivalent to the provability for the corresponding sequent of linear logic. It is a system which has expressive powers of resources, but does not provide a concept of time to encode timed Petri nets naturally. So we introduce a resource-conscious and time-dependent system, that is, temporal linear logic. The aim of the paper is to show the (d...

Performance analysis can be carried out in several ways, especially in case of Markovian models. In order to interpret high level of abstraction, we often use modeling tools like timed Petri nets (TPNs). Although some subclasses of TPNs (e.g. stochastic Petri nets (SPNs) [17, 19]) can be handled analytically, a general timed Petri net is hard to evaluate via numerical analysis. However, the sim...

In this paper, we propose a supervisory control system for motion planning of humanoid robots. The proposed system is hierarchically structured into two levels. The lower level controls and monitors the robots using modular state nets. The upper level generates an optimal sequence of motion for user’s requirements using timed Petri nets. Keywords— humanoid robot, modular state net, timed Petri ...