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Issue title: Application of Concurrency to System Design (ACSD'06)
Article type: Research Article
Authors: Liu, Cong | Kondratyev, Alex | Watanabe, Yosinori | Desel, Jörg | Sangiovanni-Vincentelli, Alberto
Affiliations: Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA. [email protected] | Cadence Berkeley Labs, Berkeley, CA 94704, USA. {kalex, watanabe}@cadence.com | Lehrstuhl für Angewandte Informatik, Katholische Universität Eichstätt-Ingolstadt, Ostenstr. 28, 85071 Eichstätt, Germany. [email protected] | University of California, Berkeley, CA 94720, USA. [email protected]
Note: [] Address for correspondence: Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, 253 Cory Hall #1772, Berkeley, CA 94720-1772, USA
Abstract: A schedule of a Petri Net (PN) represents a set of firing sequences that can be infinitely repeated within a bounded state space, regardless of the outcomes of the nondeterministic choices. Schedulability analysis for a given PN answers the question whether a schedule exists in the reachability space of this net. This paper suggests a novel approach for schedulability analysis based solely on PN structure. It shows that unschedulability can be caused by a structural relation among transitions modelling nondeterministic choices. A method based on linear programming for checking this relation is proposed. This paper also presents a necessary condition for schedulability based on the rank of the incidence matrix of the underlying PN. These results shed a light on the sources of unschedulability often found in PN models of embedded multimedia systems.
Keywords: Petri net, structural property, quasi-static scheduling
Journal: Fundamenta Informaticae, vol. 86, no. 3, pp. 325-341, 2008
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