Identification of timed stochastic Petri net models with normal distributions of firing periods

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 13, Issue PART 1, 2009, Pages 948-953

  Leclercq, Edouard ^a   Lefebvre, Dimitri ^a   El Medhi, Souleiman Ould ^a  

^a UNIVERSITY OF LE HAVRE   (France)

Author keywords

Identification; Normal distributions; Optimization; Performance evaluation; Reliability analysis; Stochastic Petri nets

Indexed keywords

DYNAMICAL SYSTEMS; IDENTIFICATION (CONTROL SYSTEMS); NORMAL DISTRIBUTION; NUMERICAL METHODS; OPTIMIZATION; PETRI NETS; RANDOM ACCESS STORAGE; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EVENT SEQUENCE; EXPONENTIAL DISTRIBUTIONS; IDENTIFICATION METHOD; NUMERICAL APPROACHES; OPTIMIZATION ALGORITHMS; PERFORMANCE EVALUATION; RANDOM DISTRIBUTION; STOCHASTIC PETRI NETS;

RELIABILITY ANALYSIS;

EID: 79960922780     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090603-3-RU-2001.0082     Document Type: Conference Paper

References (17)

1. Ajmone M., Chiola G., On Petri nets with deterministic and exponentially distributed firing times, in "Advances in Petri nets" (Rozenberg G.), Springer Verlag, pp. 132-145, 1987.
2. Bobbio A., Puliafito A., Telek M., Trivedi K., Recent Developments in Stochastic Petri Nets, J.of Circuits, Syst. and Comp., Vol. 8, No. 1, Feb. 1998, pp. 119-158. (Pubitemid 128540251)
3. Bouché P., "Une approche stochastique de modélisation des séquences d'événements discrets pour le diagnostic des systèmes dynamiques", Thèse de doctorat de l'Université d'Aix - Marseille III, 2005.
4. David R., Alla H., "Petri nets and grafcet - tools for modelling discrete events systems", Prentice Hall, London, 1992.
5. Diaz M., Les réseaux de Petri: modèles fondamentaux, Hermes, Paris, 2001.
6. Dotoli M., Fanti M.P., Mangini A.M., Real time identification of discrete event systems using Petri nets; Automatica, Vol. 44, No. 5, pp. 1209-1219, 2008
7. Leclercq E., Ould El Mehdi S., Lefebvre D., Petri nets design based on neural networks, Proc. of the Europ. Symp. on ANN (ESANN'08), Bruges, Belgique, April 23-25, 2008.
8. Leclercq E., Lefebvre D., Ould El Mehdi S., Identification de réseaux de Petri stochastiques pour les études de fiabilité, Actes de CIFA, Bucarest, Roumanie, 2008b.
9. Lefebvre D., Delherm C., Fault detection and isolation of discrete event systems with Petri net models, IEEE - TASE, Vol. 4, nu. 1, pp. 114 - 118, January 2007.
10. Lefebvre D., Diagnosis of discrete event systems with Petri nets, in "Petri Net: Theory and Application", ISBN 978-3-902613-12-7, edited by V. Kordic, I-Tech Education and Publishing, pp 353 - 376, 2008.
11. Malhis L.M., Sanders H, "An efficient two stage iterative method for the steady-state analysis of Markov regenerative stochastic Petri net, models", Performance Evaluation, No. 27&28, pp. 583-601, 1996. (Pubitemid 126382466)
12. th International Colloquium on Automata, Languages, and Programming, volume 2380 of Lecture Notes in Computer Science, pp. 57-68. Springer-Verlag, 2002.
13. Molloy M.K., On the integration of delay and troughput in distributed processing models, Ph. D, UCLA, Los Angeles, USA, September 1981
14. Molloy M.K., Performance analysis using stochastic Petri nets, IEEE Trans. on Comp. C, vol. 31, pp. 913-917, 1982.
15. Nakada K., Yoneyama T., "A method to abstract a stochastic Petri net", Mathematical and Computer Modelling, no. 31, pp. 251-260, 2000. (Pubitemid 30368867)
16. Ould El Mehdi S., Leclercq E., Lefebvre D., "Synthèse de modèles par réseaux de Petri pour le diagnostic des systèmes à événements discrets", Congrès Lambda Mu 15, Lille, 10-12 octobre, 2006.
17. Ould El Mehdi S., Leclercq E., Lefebvre D., "Apprentissage hors ligne et en ligne de modèles par réseaux de Petri pour le diagnostic des SED", QUALITA 2007, Tanger, Maroc, 2007.