| Title:
|
Models combination in (max,+) algebra for the implementation of a simulation and analysis software (English) |
| Author:
|
Lahaye, Sébastien |
| Author:
|
Hardouin, Laurent |
| Author:
|
Boimond, Jean-Louis |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
[143]-154 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
discrete event systems |
| Keyword:
|
max-plus algebra |
| Keyword:
|
assemblylines |
| Keyword:
|
modeling |
| Keyword:
|
simulation |
| MSC:
|
06F05 |
| MSC:
|
93A30 |
| MSC:
|
93C65 |
| idMR:
|
MR1996553 |
| . |
| Date available:
|
2009-09-24T19:52:14Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135517 |
| . |
| Reference:
|
[1] Baccelli F., Cohen G., Olsder G. J., Quadrat J. P.: Synchronization and Linearity.Wiley, New York 1992 Zbl 0824.93003, MR 1204266 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[4] Coninghame–Green R. A.: Minimax Algebra (Lecture Notes in Economics and Mathematical Systems 166).Springer, Berlin 1979 MR 0580321 |
| Reference:
|
[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 |
| Reference:
|
[6] Kamen E. W.: Fundamentals of linear time-varying systems.In: The Control Handbook (W. S. Levine, ed.), IEEE Press and CRC Press, 1996 |
| Reference:
|
[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 |
| Reference:
|
[8] Lahaye S., Boimond J. L., Hardouin L.: Analysis of periodic discrete event systems in $(\max ,+)$ algebra.In: Proceedings of WODES’2000, Ghent 2000 Zbl 1034.93040 |
| Reference:
|
[9] synchronization, Max-Plus. A linear system for systems subject to, In, saturation constraints.: Proceedings of the First European Conference, Grenoble 199. |
| Reference:
|
[10] Menguy E., Boimond J. L., Hardouin, L., Ferrier J. L.: Just in time control of linear systems and diod: cases of an updata of reference input and unctrollable input.IEEE Trans. Automat. Control 45 (2000), 11, 2155–2159 MR 1798460, 10.1109/9.887652 |
| Reference:
|
[11] Murata T.: Petri nets: Properties, analysis and applications.IEEE Proceedings: Special Issue on Discrete Event Systems 77 (1989), 541–580 |
| . |
