Optimal lot sizing in an unreliable two-stage serial production-inventory system

International Transactions in Operational Research

Volumn 12, Issue 1, 2005, Pages 63-82

  Giri, B C ^a   Yun, W Y ^a   Dohi, T ^a,b  

^a HIROSHIMA UNIVERSITY   (Japan)

^b Pusan National University   (South Korea)

Author keywords

Inventory; Lot size; Machine breakdown; Two stage production

Indexed keywords

EID: 84977848792     PISSN: 09696016     EISSN: 14753995     Source Type: Journal    
DOI: 10.1111/j.1475-3995.2005.00490.x     Document Type: Article

References (22)

1. Akella, R., Kumar, P.R., 1986. Optimal control of production rate in a failure-prone manufacturing system. IEEE Transactions on Automatic Control, 31, 116-126. DOI: 10.1109/TAC.1986.1104206
2. Berg, M., Posner, M.J.M., Zhao, H., 1994. Production-inventory systems with unreliable machines. Operations Research, 42, 111-118.
3. Bielecki, T.R., Kumar, P.R., 1988. Optimality of zero-inventory policies for unreliable manufacturing systems. Operations Research, 36, 532-541.
4. Buzzacott, J.A., Ozkarahan, I.A., 1983. One and two-stage scheduling of products with distributed inserted idle time: the benefits of a controllable production rate. Naval Research Logistics Quarterly, 30, 675-696.
5. Crowston, W.B., Wagner, M., Williams, J.F., 1973. Economic lot size determination in multi-stage assembly systems. Management Science, 19, 517-527.
6. Dohi, T., Okamura, H., Osaki, S., 2001. Optimal control of preventive maintenance schedule and safety stocks in an unreliable manufacturing environment. International Journal of Production Economics, 74, 147-155. DOI: 10.1016/S0925-5273(01)00121-9
7. Dohi, T., Yamada, Y., Kaio, N., Osaki, S., 1997. The optimal lot sizing for unreliable economic manufacturing models. International Journal of Reliability, Quality and Safety Engineering, 4, 413-426. DOI: 10.1142/S0218539397000308
8. Feng, Y., Yan, H., 1986. Optimal production control in a discrete manufacturing system with unreliable machines and random demands. IEEE Transactions on Automatic Control, 45, 2280-2296. DOI: 10.1109/9.895564
9. Groenevelt, H., Pintelon, L., Seidmann, A., 1992a. Production lot sizing with machine breakdowns. Management Science, 38, 104-123.
10. Groenevelt, H., Pintelon, L., Seidmann, A., 1992b. Production batching with machine breakdowns and safety stocks. Operations Research, 40, 959-971.
11. Hill, R.M., 2000. Optimal two-stage lot sizing and inventory batching policies. International Journal of Production Economics, 66, 149-158. DOI: 10.1016/S0925-5273(99)00122-X
12. Karimi, I.A., 1989. Optimal cycle times in a two-stage serial system with set up and inventory costs. IIE Transactions, 21, 324-332.
13. Kim, D.S., 1999. Optimal two-stage lot sizing and inventory batching policies. International Journal of Production Economics, 58, 221-234. DOI: 10.1016/S0925-5273(98)00057-7
14. Kimemia, J.G., Gershwin, S.B., 1993. An algorithm for the computer control of production in flexible manufacturing systems. IIE Transactions, 15, 353-362.
15. Lee, S.D., Rung, J.M., 2000. Production lot sizing in failure prone two-stage serial system. European Journal of Operational Research, 123, 42-60. DOI: 10.1016/S0377-2217(99)00089-2
16. Makis, V., Fung, J., 1998. An EMQ model with inspections and random machine failures. Journal of the Operational Research Society, 49, 66-75. DOI: 10.1038/sj.jors.2600484
17. Ross, S.M., 1993. Introduction to Probability Models, (5th edition), Academic Press, New York.
18. Samaratunga, C., Sethi, S.P., Zhou, X.Y., 1997. Computational evaluation of hierarchical production control policies for stochastic manufacturing systems. Operations Research, 45, 258-274.
19. Szendrovits, A.Z., 1983. Non-integer optimal lot size ratios in two-stage production/inventory systems. International Journal of Production Research, 21, 323-336.
20. Williams, J.F., 1982. A note on the optimality of integer lot size ratios in economic lot size determination in multi-stage assembly systems. Management Science, 28, 1341-1349.
21. Wolfram, S., 1996. The MATHEMATICA Book, (3rd edition), Wolfram Media, Cambridge University Press, Cambridge.
22. Yan, H., Zhou, X.Y., 1999. Approximating an optimal production policy in a continuous flow line: recurrence and asymptotic properties. Operations Research, 47, 535-549.