Using linear programming in Petri net analysis

Jean B. Lasserre; Philippe Mahey

RAIRO - Operations Research - Recherche Opérationnelle (1989)

  • Volume: 23, Issue: 1, page 43-50
  • ISSN: 0399-0559

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Lasserre, Jean B., and Mahey, Philippe. "Using linear programming in Petri net analysis." RAIRO - Operations Research - Recherche Opérationnelle 23.1 (1989): 43-50. <http://eudml.org/doc/104952>.

@article{Lasserre1989,
author = {Lasserre, Jean B., Mahey, Philippe},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {algebraic representation of polyhedral sets; Petri nets; linear system of inequalities},
language = {eng},
number = {1},
pages = {43-50},
publisher = {EDP-Sciences},
title = {Using linear programming in Petri net analysis},
url = {http://eudml.org/doc/104952},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Lasserre, Jean B.
AU - Mahey, Philippe
TI - Using linear programming in Petri net analysis
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1989
PB - EDP-Sciences
VL - 23
IS - 1
SP - 43
EP - 50
LA - eng
KW - algebraic representation of polyhedral sets; Petri nets; linear system of inequalities
UR - http://eudml.org/doc/104952
ER -

References

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  1. [1] G. BERTHELOT and G. ROUCAIROL, Reduction of Petri Nets, Lecture Notes in Computer Science, vol. 45, 1976, pp. 202-209. Zbl0368.94035
  2. [2] G. W. BRAMS, Réseaux de Petri: théorie et pratique, Masson, 1983. Zbl0501.68027
  3. [3] J. B. LASSERRE, Consistency of Linear System of Inequalities, JOTA, vol. 49, N° 1, 1986, pp. 177-179. Zbl0571.65049MR843488
  4. [4] K. LAUTENBACH and H. SCHMID, Use of Petri Nets for Proving Correctness of Concurrent Process Systems, Proc. 1974 I.F.I.P. Congress, North Holland, 1974, pp. 187-191. Zbl0299.68006MR441564
  5. [5] G. MEMMI, Applications of the Semiflow Notion to the Bound Dedness and Liveness Problems in Petri Net Theory, Proc. 1978 Conf. on Information Sciences and Systems, John Hopkins University, 1978, pp. 505-509. 
  6. [6] T. MURATA, State Equations, Controllability and Maximal Matchings of Petri Nets, I.E.E.E. Trans. Automatic Control, AC-22, 3, 1977, pp. 412-416. Zbl0354.93010MR456658
  7. [7] J. L. PETERSON, Petri Net Theory and the Modelling of Systems, Prentice Hall, 1981. Zbl0461.68059MR610984
  8. [8] B. PRADIN, Un outil graphique interactif pour la vérification des systèmes à évolutions parallèles décrits par réseaux de Petri, Docteur-Ingénieur Thesis, Université Paul-Sabatier, Toulouse, 1979. 
  9. [9] M. SIMMONNARD, Programmation linéaire, Dunod 1962. Zbl0115.37902MR138505

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