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Encoding the dynamics of deterministic systems

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  • Luis Torres
  • Annegret Wagler

Abstract

We present a model for the dynamics of discrete deterministic systems, based on an extension of the Petri nets framework. Our model relies on the definition of a priority relation between conflicting transitions, which is encoded by orienting the edges of a transition conflict graph. We provide a characterization in terms of a local consistency condition of those deterministic systems whose dynamic behavior can be encoded using our approach. Finally, we consider the problem of recognizing when an orientation of the transition conflict graph is valid for encoding the dynamic behavior of a system. Copyright Springer-Verlag 2011

Suggested Citation

  • Luis Torres & Annegret Wagler, 2011. "Encoding the dynamics of deterministic systems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(3), pages 281-300, June.
    • Handle: RePEc:spr:mathme:v:73:y:2011:i:3:p:281-300
    DOI: 10.1007/s00186-011-0353-6
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    References listed on IDEAS

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    1. Wolfgang Marwan & Annegret Wagler & Robert Weismantel, 2008. "A mathematical approach to solve the network reconstruction problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(1), pages 117-132, February.
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