A numerical method to approximate optimal production and maintenance plan in a flexible manufacturing system

Applied Mathematics and Computation

Volumn 170, Issue 2, 2005, Pages 924-940

  Kianfar, Farhad ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Discrete time optimal control; Numerical solution to Riccati equation; Production and maintenance planning

Indexed keywords

APPROXIMATION THEORY; DISCRETE TIME CONTROL SYSTEMS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PLANNING; PREVENTIVE MAINTENANCE; PROBLEM SOLVING; PRODUCTION; RICCATI EQUATIONS; STOCHASTIC PROGRAMMING;

DISCRETE-TIME OPTIMAL CONTROL; NUMERICAL SOLUTION TO RICCATI EQUATION; PRODUCTION AND MAINTENANCE PLANNING; STOCHASTIC OPTIMAL CONTROL MODELS;

FLEXIBLE MANUFACTURING SYSTEMS;

EID: 27144508398     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.12.030     Document Type: Article

References (31)

1. M.H.A. Davis Markov Models and Optimization 1993 Chapman and Hall London
2. D.D. Sworder Feedback control of a class of linear systems with jump parameters IEEE Transactions on Automatic Control AC-14 1969 9 14
3. R. Rishel Control of systems with jump Markov disturbances IEEE Transactions on Automatic Control AC-20 1975 241 244
4. R. Rishel Dynamic programming and minimum principles for systems with jump Markov disturbances SIAM Journal on Control 13 1975 338 371
5. G.J. Olsder, R. Suri, Time optimal of parts-routing in a manufacturing system with failure prone machines, in: Proceedings of the Nineteen IEEE Conference on Decision Control, Albuquerque, NM 722-727, 1980.
6. R. Akella, and P.R. Kumar Optimal control of production rate in a failure-prone manufacturing system IEEE Transactions on Automatic Control AC-31 1986 116 126
7. T. Bielecki, and P.R. Kumar Optimality of zero-inventory policies for unreliable manufacturing systems Operations Research 36 1988 532 541
8. J.G. Kimemia, and S.B. Gershwin An algorithm for the computer control production in flexible manufacturing systems IIE Transactions 15 1983 353 362
9. M. Caramanis, and A. Sharifnia Near-optimal manufacturing flow controller design International Journal of Flexible Manufacturing Systems 3 1991 321 336
10. G. Liberopoulos, and M. Caramanis Dynamics and design of a class of parameterized manufacturing flow controllers IEEE Transactions on Automatic Control 40 1995 1018 1028
11. M. Caramanis, and G. Liberopoulos Perturbation analysis for the design of flexible manufacturing system flow controllers Operations Research 40 1992 1107 1125
12. J.R. Perkins, and R. Srikant Hedging policies for failure-prone manufacturing systems: Optimality of JIT and bounds on buffer levels IEEE Transactions on Automatic Control 43 1998 953 957
13. G. Liberopoulos, and J.Q. Hu On the ordering of hedging points in a class of manufacturing flow control models IEEE Transactions on Automatic Control 40 1995 282 286
14. E.K. Boukas, and H. Yang Optimal control of manufacturing flow and preventive maintenance IEEE Transactions on Automatic Control 41 1996 881 885
15. A. Sharifnia Production control of a manufacturing system with multiple machine states IEEE Transactions on Automatic Control 33 1988 620 625
16. M. Caramanis, A. Sharifnia, Design of near optimal flow controllers for flexible manufacturing systems, in: Proceedings of the third ORSA/TIMS Special International Conference on FMSA, Cambridge, MA.
17. S.B. Gershwin, R. Akella, and Y.F. Choong Short-term production scheduling of an automated manufacturing facility IBM Journal of Research and Development 29 1995 392 400
18. E.K. Boukas, and A. Haurie Manufacturing flow control and preventive maintenance: a stochastic control approach IEEE Transactions on Automatic Control 35 1990 1024 1031
19. J.Q. Hu, and D. Xiang Structure properties of optimum production controllers of failure prone manufacturing systems IEEE Transactions on Automatic Control 39 1994 640 643
20. R. Rishel Controlled wear process: modeling optimal control IEEE Transactions on Automatic Control 36 1991 1100 1102
21. J.Q. Hu, P. Vakili, and G.X. Yu Optimality of hedging point policies in the production control of failure prone manufacturing systems IEEE Transactions on Automatic Control 39 1994 1875 1880
22. S.P. Sethi, and Q. Zhang Hierarchical Decision Making in Stochastic Manufacturing Systems 1994 Birkhauser Boston, MA
23. H. Yan, and Q. Zhang A numerical method in optimal production and setup scheduling of stochastic manufacturing systems IEEE Transactions on Automatic Control 42 1997 1452 1455
24. Q. Zhang, and G. Yin Turnpike sets in stochastic manufacturing systems with finite time horizon Stochastics Stochastic Reports 51 1994 11 40
25. E.K. Boukas, H. Yang, and Q. Zhang Minimax production planning in failure prone manufacturing systems Journal of Optimization Theory and Application 87 1995 269 286
26. S.B. Gershwin Manufacturing Systems Engineering 1994 Prentice-Hall Englewood Cliffs, NJ
27. P.L. Abad Approach to decentralized marketing-production planning International Journal of System Science 13 1982 227 235
28. S.P. Sethi, and Q. Zhang Multilevel hierarchical decision making in stochastic marketing production systems SIAM Journal on Control and Optimization 33 1995 528 553
29. A.G. Sogomonian, and C.S. Tang A modeling framework for coordinating production and production decisions within a firm Management Science 39 1993 191 203
30. G. Yin, and Q. Zhang Continuous Time Markov Chains and Applications: A Singular Perturbation 1998 Springer-Verlag New York
31. Q. Zhang, G. Yin, and E.K. Boukas Optimal control of a marketing-production system IEEE Transactions on Automatic Control 46 2001 416 427