Kanban policy improvement thanks to a (max,+)-algebra analysis

International Journal of Systems Science

Volumn 39, Issue 7, 2008, Pages 689-698

  Cottenceau, B ^a   Hardouin, L ^a   Ouerghi, I ^a  

^a UNIVERSITÉ D'ANGERS   (France)

Author keywords

(max,+) linear systems; Controller synthesis; Kanban systems

Indexed keywords

ALGEBRA; BOOLEAN ALGEBRA; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA;

(R ,S ,S) POLICY; (S , S) INVENTORY POLICY; CONTROL POLICIES; DYNAMIC BEHAVIOURS; FEED BACK LOOPS; KANBAN SYSTEMS; LINEAR CONTROLLERS; PRODUCTION COORDINATION; WORK-IN-PROCESS (WIP);

QUALITY OF SERVICE;

EID: 46149123729     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720802090880     Document Type: Conference Paper

References (16)

1. Baccelli, F., Cohen, G., Olsder, G.J., and Quadrat, J.P. (1992), Synchronisation and Linearity: An Algebra for Discrete Event Systems, New York: Wiley and Sons.
2. Bonvik, A.M. (1996), "Performance Analysis of Manufacturing Systems under Hybrid Control Policies", PhD Thesis, MIT.
3. Boutin, O., Cottenceau, B., and L'Anton, A. (2007), "Online Control of a (max,+) Linear Emulated Production System" in International Conference on Industrial Engineering and Systems Management (IESM07), China.
4. Buzacott, J.A. (1989), "Queuing Models of Kanban and MRP Controlled Manufacturing Systems," Engineering Cost and Production Economics, 17, 3-20.
5. Chaouiya, C., and Dallery, Y. (1997), "Petri Net Models of Pull Control Systems for Assembly Manufacturing System" Workshop on Manufacturing and Petri Nets, Toulouse: ICATPN.
6. Cohen, G., Moller, P., Quadrat, J.P., and Viot, M. (1989), "Algebraic Tools for the Performance Evaluation of Discrete Event Systems," IEEE Proceedings: Special issue on Discrete Event Systems, 77, 39-58.
7. Cottenceau, B. (1999), "Contribution à La Commande de Systèmes à Événements Discrets: Synthèse de Correcteurs Pour les Graphes d'Événements Temporisés Dans les Dioïdes." Ph.D. Thesis, LISA - Université d'Angers.
8. Cottenceau, B., Hardouin, L., Boimond, J.L., and Ferrier, J.L. (2001), "Model Reference Control for Timed Event Graphs in Dioids," Automatica, 37, 1451-1458.
9. Dallery, Y., and Liberopoulos, G. (2000), "Extended Kanban Control System: Combining Kanban and Base Stock," IIE Transactions on Design and Manufacturing, 32, 369-386.
10. Di Mascolo, M., Frein, Y., Dallery, Y., and David, R. (1991), "A Unified Modeling of Kanban Systems using Petri Nets," International journal of Flexible Manufacturing Systems, 3, 275-307.
11. Gaubert, S. (1992), "Théorie des Systèmes Linéaires dans les Dioïdes." PhD Thesis, École des Mines de Paris.
12. Heidergott, B., Olsder, G.J., and van der Woude, J. (2006), Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications, Princeton Series in Applied Mathematics, Princeton: Princeton University Press.
13. Liberopoulos, G., and Dallery, Y. (2000), "A Unified Framework for Pull Control Mechanisms in Multi-stage Manufacturing Systems," Annals of Operations Research, 93, 325-355.
14. Lhommeau, M., Hardouin, L., Cottenceau, B., and Jaulin, L. (2004), "Interval Analysis in Dioid: Application to Robust Controller Design for Timed Event Graphs," Automatica, 40, 1923-1930.
15. Maia, C.A., Hardouin, L., Mendes, R.S., and Cottenceau, B. (2003), "Optimal Closed-loop Control for Timed Event Graphs in Dioid," IEEE Transactions on Automatic Control, 48, 2284-2287.
16. SW2001 (2001). "Software Tools for Manipulating Periodic Series." Laurent Hardouin's homepage, http://www.istiaangers.fr/ ∼hardouin/outils.html