A tractable class of maximal hedging policies in multi-part manufacturing systems

Discrete Event Dynamic Systems: Theory and Applications

Volumn 8, Issue 3, 1998, Pages 299-331

  El Férik, Sami ^a   Malhamé, Roland P ^a,b   Boukas, E L Kébir ^a,b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b GERAD   (Canada)

Author keywords

First passage time theory; Flow control problem; Multi part manufacturing systems; Pad approximants

Indexed keywords

FIRST PASSAGE-TIME THEORY; FLOW CONTROL PROBLEM; MULTI-PART MANUFACTURING SYSTEMS; PADE APPROXIMANTS;

APPROXIMATION THEORY; COSTS; FUNCTIONS; MANUFACTURE; MARKOV PROCESSES; OPTIMIZATION; PROBLEM SOLVING; REPAIR; PROCESS CONTROL; PRODUCTION CONTROL;

FLOW CONTROL; OPTIMAL CONTROL SYSTEMS;

FIRST PASSAGE-TIME THEORY; MULTI-PART MANUFACTURING SYSTEMS; PADE APPROXIMANTS; SIMPLE MAXIMAL HEDGING (SMH) POLICIES;

EID: 0032188401     PISSN: 09246703     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008279004031     Document Type: Article

References (17)

1. Baker, G. A. JR. 1975. Essentials of Padé Approximants. Academic Press.
2. Bielecki, T., and Kumar, P. R. 1988. Optimality of Zero-Inventory Policies for Unreliable Manufacturing Systems. Operat. Res. 26:532-540.
3. Brémaud, P., Malhamé, R. P., and Massoulié, L. 1997. A Manufacturing System with General Stationary Failure Process: Stability and IPA of Hedging Control Policies. IEEE Transactions on Automatic Control 22(2)155-170.
4. Caramanis, M. C., and Sharifnia, A. 1991. Near-Optimal Manufacturing Flow Controller Design. International Journal of Flexible Manufacturing Systems 3(4):321-336.
5. El-férik, S., and Malhamé, R. P. 1997. Padé Approximants for the transient Optimization of Hedging Control Policies in Manufacturing . IEEE Transactions on Automatic Control 42(4):440-457.
6. Gershwin, S. B. 1994. Manufacturing Systems Engineering. PTR Prentice Hall, Englewood Cliffs, New Jersey.
7. Glasserman, P. 1995. Hedging-Point Production Control with Multiple Failure Modes. IEEE Transactions on Automatic Control 40(4):707-711.
8. Hu, J. Q. and Xiang, D. 1995. Monotonicity of Optimal Controls for Failure Prone Production Systems . Journal of Optimization Theory and Applications 86(1):57-71.
9. th IEEE Conference on Decision and Control.
10. Malhamé, R. P. 1993. Ergodicity of Hedging Point Policies in Single Part Multiple State Manufacturing Systems. IEEE Transactions on Automatic Control 38(2):340-343.
11. Perkins, J. R., and Srikant, R. 1997. Scheduling Multiple Part-Types in an Unreliable Single-Machine Manufacturing System. IEEE Transactions on Automatic Control 42(2): 364-377.
12. Caramanis, M. and Liberopoulos, G. 1992. Perturbation Analysis for the Design of Flexible Manufacturing Flow Controllers. Operat. Res. 40:1107-1125.
13. Perkins, J. R., and Srikant, R. 1995. Hedging Policies for Failure-Prone Manufacturing Systems: Optimality of JIT and Bounds on Buffer Levels. Proceedings of the 34th conference on Decision & Control, New Orleans, LA, pp. 3144-3149.
14. Sethi, S. P., and Zhang, Q. 1994. Hierarchical Decision Making in Stochastic Manufacturing Systems. Birkhauser, Boston.
15. Sharifnia, A. 1988. Production control of Manufacturing System with Multiple Machine States. IEEE Transactions on Automatic Control, 33(7):620-625.
16. Srivatsan, N. and Dallery, Y. 1994. Partial Characterization of Optimal Policies in Unreliable Multiple-Part-Type Systems. Technical Report Laboratory for Manufacturing and Productivity LMP94-004.
17. Wolff, R. W. 1989. Stochastic Modeling and the Theory of Queues. Englewood Cliffs, New Jersey: Prentice-Hall.