Paper Info
Title
Linear programming techniques for analysis and control of batches Petri nets.
Abstract
In this paper we consider Generalised Batches Petri nets (GBPN) and develop new linear algebraic techniques for the analysis of this model. Two main contributions are presented. The first contribution lies in the fact that although we consider the same GBPN model that has already be presented in the literature, we associate to this model a different semantics considering that the instantaneous firing flow of continuous and batch transitions are control variables that can take an arbitrary value provided they satisfy given constraints. The second contribution consists in the analysis of the steady state behavior of GBPN. We show that under the assumption that no discrete transition fires, a steady state can be characterized by solving a linear programming problem that takes into account the net structure and the initial marking.
Year
DOI
Venue
2010
10.3182/20100830-3-DE-4013.00003
IFAC Proceedings Volumes
Keywords
DocType
Volume
Continuous Petri nets,Hybrid Petri nets,Discrete Event Systems
Conference
43
Issue
ISSN
Citations 
12
1474-6670
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Demongodin Isabel16110.10
Alessandro Giua21836199.57