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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  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 
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  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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