NDLI: A deadlock prevention approach for flexible manufacturing systems without complete siphon enumeration of their Petri net models

Content Provider	Springer Nature Link
Author	Zhong, Chunfu Li, Zhiwu
Copyright Year	2009
Abstract	Siphons are very important in the analysis and control of deadlocks in a Petri net. However, it is quite time-consuming or even impossible to get the complete siphon enumeration of a Petri net. This paper focuses on the deadlock prevention problems in flexible manufacturing systems that are modeled with S4PR, a general class of Petri nets. The analysis of S4PR leads us to characterize deadlock situations in terms of insufficiently marked siphons. The method proposed in this paper is an iterative approach. At each iteration, a non-max-marked siphon is computed by solving a mixed integer linear programming problem. Then the siphon is max-marked through a P-invariant by adding a monitor place. This process is carried out until no non-max-marked siphon can be found in the net. As a result all the siphons in the net are max-controlled. Then the net becomes live. Without computing all the siphons, a monitor-based liveness-enforcing Petri net supervisor can be found with more permissive behavior. A number of flexible manufacturing examples are used to demonstrate the proposed methods.
Starting Page	269
Ending Page	278
Page Count	10
File Format	PDF
ISSN	01770667
Journal	Engineering with Computers
Volume Number	25
Issue Number	3
e-ISSN	14355663
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-01-27
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Petri net Flexible manufacturing system Siphon S4PR Deadlock prevention ApplicationMathematics/Computational Methods of Engineering Mechanics Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Math. Applications in Chemistry Computer-Aided Engineering (CAD, CAE) and Design
Content Type	Text
Resource Type	Article
Subject	Engineering Computer Science Applications Modeling and Simulation Software

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