Optimal finite-horizon production control in a defect-prone environment

IEEE Transactions on Automatic Control

Volumn 49, Issue 10, 2004, Pages 1795-1800

  Kogan, Konstantin ^a   Shu, Chang ^b   Perkins, James R ^b  

^a BAR ILAN UNIVERSITY   (Israel)

^b BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; FUNCTIONS; HAMILTONIANS; LINEAR CONTROL SYSTEMS; PIECEWISE LINEAR TECHNIQUES; PROBABILITY DISTRIBUTIONS; PRODUCTION CONTROL; RANDOM PROCESSES; THEOREM PROVING; TIME VARYING CONTROL SYSTEMS;

COST MINIMIZATION; DEFECT PRONE ENVIRONMENT; OPTIMAL CONTROL PROBLEM; OPTIMAL FINITE HORIZON PRODUCTION CONTROL; RANDOM YIELD PROPORTION; YIELD RATE DISTRIBUTION;

OPTIMAL CONTROL SYSTEMS;

EID: 7244254688     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.835597     Document Type: Article

References (14)

1. S. Bollapragada and T. Morton, "Myopic heuristics for the random yield problem," Oper. Res., vol. 47, no. 5, pp. 713-723, Sept.-Oct. 1999.
2. F. W. Ciarallo, R. Akella, and T. E. Morton, "A periodic review, production planning model with uncertain demand: optimality of extended myopic policies," Manag. Sci., vol. 40, pp. 320-332, 1994.
3. A. Grosfeld-Nir, Y. Gerchak, and Q.-M. He, "Manufacturing to order with random yield and costly inspection," Oper. Res., vol. 48, no. 5, pp. 761-767, Sept.-Oct. 2000.
4. A. Grosfeld-Nir and Y. Gerchak, "Production to order with random yields: single-stage multiple lot-sizing," IIE Trans., vol. 28, no. 8, pp. 669-677, Aug. 1996.
5. H. Gurnani, "Supply management in assembly systems with random yield and random demand," IIE Trans., vol. 32, no. 8, pp. 701-714, Aug. 2000.
6. R. F. Hartl, S. P. Sethi, and R. G. Vickson, "A survey of the maximum principles for optimal control problems with state constraints," SIAM Rev., vol. 37, no. 2, pp. 181-218, June 1995.
7. M. Henig and Y. Gerchak, "The structure of periodic review policies in the presence of random yield," Oper. Res., vol. 38, pp. 634-643, 1990.
8. K. Jain and E. A. Silver, "The single period procurement problem where dedicated supplier capacity can be reserved," Naval Res. Log., vol. 42, pp. 915-934, 1995.
9. S. Karlin, "The application of renewal theory to the study of inventory policies," in Studies in the Mathematical Theory of Inventory and Production, K. Arrow, S. Karlin, and H. Scarf, Eds. Stanford, CA: Stanford Univ. Press, 1958.
10. M. Khouja, "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega: Int. J. Manag. Sci., vol. 27, pp. 537-553, 1999.
11. J. J. Liu and P. Yang, "Optimal lot-sizing in an imperfect production system with homogeneous reworkable jobs," Eur. J. Oper. Res., vol. 91, no. 3, pp. 517-527, June 1996.
12. D. Sipper and R. L. Bulfin Jr., Production: Planning, Control, and Integration. New York: McGraw-Hill, 1997.
13. C. A. Yano and H. L. Lee, "Lot sizing with random yields: a review," Oper. Res., vol. 43, no. 2, pp. 311-335, Mar.-Apr. 1995.
14. D. D. Yao and S. Zheng, "Coordinated quality control in a two-stage system," IEEE Trans. Automat. Contr., vol. 44, pp. 1166-1179, June 1999.