Models combination in (max,+) algebra for the implementation of a simulation and analysis software

Sébastien Lahaye; Laurent Hardouin; Jean-Louis Boimond

Kybernetika (2003)

  • Volume: 39, Issue: 2, page [143]-154
  • ISSN: 0023-5954

Abstract

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This paper presents a modeling methodology in (max,+) algebra which has been developed in order to implement a modulary software for the simulation and the analysis of electronic cards production lines. More generally, this approach may be applied to hybrid flowshop type manufacturing systems.

How to cite

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Lahaye, Sébastien, Hardouin, Laurent, and Boimond, Jean-Louis. "Models combination in (max,+) algebra for the implementation of a simulation and analysis software." Kybernetika 39.2 (2003): [143]-154. <http://eudml.org/doc/33630>.

@article{Lahaye2003,
abstract = {This paper presents a modeling methodology in (max,+) algebra which has been developed in order to implement a modulary software for the simulation and the analysis of electronic cards production lines. More generally, this approach may be applied to hybrid flowshop type manufacturing systems.},
author = {Lahaye, Sébastien, Hardouin, Laurent, Boimond, Jean-Louis},
journal = {Kybernetika},
keywords = {discrete event systems; max-plus algebra; assemblylines; modeling; simulation; Dioids algebra; urban bus network; min-max recursive equation},
language = {eng},
number = {2},
pages = {[143]-154},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Models combination in (max,+) algebra for the implementation of a simulation and analysis software},
url = {http://eudml.org/doc/33630},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Lahaye, Sébastien
AU - Hardouin, Laurent
AU - Boimond, Jean-Louis
TI - Models combination in (max,+) algebra for the implementation of a simulation and analysis software
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 2
SP - [143]
EP - 154
AB - This paper presents a modeling methodology in (max,+) algebra which has been developed in order to implement a modulary software for the simulation and the analysis of electronic cards production lines. More generally, this approach may be applied to hybrid flowshop type manufacturing systems.
LA - eng
KW - discrete event systems; max-plus algebra; assemblylines; modeling; simulation; Dioids algebra; urban bus network; min-max recursive equation
UR - http://eudml.org/doc/33630
ER -

References

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  2. Cohen G., Moller P., Quadrat J. P., Viot M., Algebraic tools for the performance evaluation of discrete event systems, IEEE Proceedings: Special Issue on Discrete Event Systems 77 (1989), 1 (1989) 
  3. Cottenceau B., Contribution à la commande de systèmes événements discrets: synthèse de correcteurs pour les graphes d’événements temporisés dans les dioïdes, Ph. D. Thesis. ISTIA – Université d’Angers, 1999 
  4. Coninghame–Green R. A., Minimax Algebra (Lecture Notes in Economics and Mathematical Systems 166), Springer, Berlin 1979 MR0580321
  5. Ferrier J. L., Lahaye S., Hardouin, L., Boimond J. L., MAISTer: a user-fiendly software package for performance analysis and decision, based on ( max , + ) , In: Proceddings of the SMS’2000, IEEE Conference on Systems Man and Cybernetics, Nashville 2000 
  6. Kamen E. W., Fundamentals of linear time-varying systems, In: The Control Handbook (W. S. Levine, ed.), IEEE Press and CRC Press, 1996 
  7. Lahaye S., Contribution à l’étude des systèmes linéaires non stationnaires dans l’algèbre des dioïdes, Ph. D. Thesis. ISTIA – Université d’Angers, 2000 
  8. Lahaye S., Boimond J. L., Hardouin L., Analysis of periodic discrete event systems in ( max , + ) algebra, In: Proceedings of WODES’2000, Ghent 2000 Zbl1034.93040
  9. synchronization, Max-Plus. A linear system for systems subject to, In, saturation constraints., Proceedings of the First European Conference, Grenoble 199 
  10. Menguy E., Boimond J. L., Hardouin, L., Ferrier J. L., 10.1109/9.887652, IEEE Trans. Automat. Control 45 (2000), 11, 2155–2159 MR1798460DOI10.1109/9.887652
  11. Murata T., Petri nets: Properties, analysis and applications, IEEE Proceedings: Special Issue on Discrete Event Systems 77 (1989), 541–580 (1989) 

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