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Optimal Replenishment and Rework with Multiple Unreliable Supply Sources

Author

Listed:
  • Jinfa Chen

    (Wall Street Systems, New York)

  • David D. Yao

    (IEOR Department, 302 Mudd Building, Columbia University, New York, NY 10027)

  • Shaohui Zheng

    (Department of ISMT, Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong)

Abstract

We study a production-inventory system with multiple unreliable supply sources. Through inspection and rework, the system can improve the quality of the units received from the supply sources. There are two interleaved decisions: the replenishment quantities from the sources and the inspection-rework quantities among the units received. We show the optimal solution to the replenishment decision can be efficiently derived from a greedy algorithm, and inspection-rework is optimally applied to a single source identified by the algorithm. Furthermore, in the case of linear cost functions, it is optimal to place orders from two supply sources, i.e., dual sourcing. The results extend to the infinite-horizon case, where an order-up-to policy is optimal. The model also readily adapts to situations in which the supply imperfection takes the form of a reduced delivery quantity (yield loss).

Suggested Citation

  • Jinfa Chen & David D. Yao & Shaohui Zheng, 2001. "Optimal Replenishment and Rework with Multiple Unreliable Supply Sources," Operations Research, INFORMS, vol. 49(3), pages 430-443, June.
  • Handle: RePEc:inm:oropre:v:49:y:2001:i:3:p:430-443
    DOI: 10.1287/opre.49.3.430.11214
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    References listed on IDEAS

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    1. Michael H. Peters & Helmut Schneider & Kwei Tang, 1988. "Joint Determination of Optimal Inventory and Quality Control Policy," Management Science, INFORMS, vol. 34(8), pages 991-1004, August.
    2. Lawrence W. Robinson, 1990. "Optimal and Approximate Policies in Multiperiod, Multilocation Inventory Models with Transshipments," Operations Research, INFORMS, vol. 38(2), pages 278-295, April.
    3. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    4. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    5. Jinfa Chen & David D. Yao & Shaohui Zheng, 1998. "Quality Control for Products Supplied with Warranty," Operations Research, INFORMS, vol. 46(1), pages 107-115, February.
    6. Hau L. Lee & Candace Arai Yano, 1988. "Production Control in Multistage Systems with Variable Yield Losses," Operations Research, INFORMS, vol. 36(2), pages 269-278, April.
    7. Arthur Hsu & Yehuda Bassok, 1999. "Random Yield and Random Demand in a Production System with Downward Substitution," Operations Research, INFORMS, vol. 47(2), pages 277-290, April.
    8. Rachelle S. Klein & Hanan Luss & Uriel G. Rothblum, 1993. "Minimax Resource Allocation Problems with Resource-Substitutions Represented by Graphs," Operations Research, INFORMS, vol. 41(5), pages 959-971, October.
    9. Parlar, Mahmut & Wang, Dan, 1993. "Diversification under yield randomness in inventory models," European Journal of Operational Research, Elsevier, vol. 66(1), pages 52-64, April.
    10. Hau L. Lee, 1992. "Lot Sizing to Reduce Capacity Utilization in a Production Process with Defective Items, Process Corrections, and Rework," Management Science, INFORMS, vol. 38(9), pages 1314-1328, September.
    11. Edward Ignall & Arthur F. Veinott, Jr., 1969. "Optimality of Myopic Inventory Policies for Several Substitute Products," Management Science, INFORMS, vol. 15(5), pages 284-304, January.
    12. Gurnani, Haresh, 1996. "Optimal ordering policies in inventory systems with random demand and random deal offerings," European Journal of Operational Research, Elsevier, vol. 95(2), pages 299-312, December.
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