Dynamics Of Petri Nets Research Articles

The essence of Petri nets and transition systems through Abelian groups

In this paper we describe an abstract and (as we hope) a uniform frame for Petri net models, which enable to generalise algebra as well as enabling rule used in the dynamics of Petri nets. Our approach of such an abstract frame is based on using partial groupoids in Petri nets. Further, we study properties of Petri nets constructed in this manner through related labelled transition systems. In particular, we investigate the relationships between properties of partial groupoids used in Petri nets and properties of labelled transition systems crucial for the existence of the state equation and linear algebraic techniques. We show that partial groupoids embeddable to Abelian groups play an important role in preserving these properties.

Performance Analysis of Design Process Using Timed Petri Nets

Abstract The objective of concurrent engineering approach is to minimize the total design time horizon without violating any of the constraints. These constraints are defined In terms of requirements of different design tasks and different human resources. In this paper, we build a timed Petri net model to represent the design process as a discrete event process. The equations for the Petri net dynamics are established by using dioid algebra. The performance of design process, In terms of team work allocation, can be analyzed by using this model