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[CL13] Computation of Minimal Siphons in Petri Nets by Using Binary Decision DiagramsRevue Internationale avec comité de lecture : Journal ACM Transactions on Embedded Computing Systems, vol. 12(1), pp. 3:1-3:15, 2013
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Résumé:
Siphons play an important role in the development of deadlock control methods by using Petri nets. The
number of siphons increases exponentially with respect to the size of a Petri net. This article presents a
symbolic approach to the computation of minimal siphons in Petri nets by using binary decision diagrams
(BDD). The siphons of a Petri net can be found via a set of logic conditions. The logic conditions are symbolically
modeled by using Boolean algebras. The operations of Boolean algebras are implemented by BDD that
are capable of representing large sets of siphons with small shared data structures. The proposed method
first uses BDD to compute all siphons of a Petri net and then a binary relation is designed to extract all
minimal siphons. Finally, by using a number of examples, the efficiency of the proposed method is verified
through different-sized problems.
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