Analysis of states in production systems modeled by petri nets using diophantine equations

  1. Gómez-Munilla, J. 2
  2. Jiménez-Macías, E. 2
  3. Latorre-Biel, J.-I. 1
  4. De La Parte, M.P. 2
  5. García-Alcaraz, J.L. 3
  1. 1 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 Universidad Autónoma de Ciudad Juárez
    info

    Universidad Autónoma de Ciudad Juárez

    Ciudad Juárez, México

    ROR https://ror.org/05fj8cf83

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Libro:
25th European Modeling and Simulation Symposium, EMSS 2013

ISBN: 9788897999225

Año de publicación: 2013

Páginas: 482-488

Tipo: Capítulo de Libro

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SCOPUS: 2-s2.0-84886903850 GOOGLE SCHOLAR

Resumen

This paper is devoted to study ways to determine the possible states of a production system, modeled by Petri nets (PN), making use of techniques for solving systems of linear Diophantine equations. For this porpoise, PNs have been divided into three possible types, and each provides a specific method so as to exploit its characteristics to optimize the computation time. These types are conservative systems, nonconservative systems with conservative components, and nonconservative systems without conservative components. These proposal methods have been compared with the determination of states from marking evolution, being clearly advantageous in computation time. © 2013 DIME UNIVERSITÀ DI GENOVA.