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The Algorithm to Locate the Optimal Solution for Production System Subject to Random Machine Breakdown and Failure in Rework for Supply Chain Management

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  • Kun-Jen Chung

    (Chung Yuan Christian University
    National Taiwan University of Science and Technology)

Abstract

A lot of researchers try to use the conditional convexity to develop their solution procedure to locate the optimal solution. However, this paper indicates that the solution procedure to locate the optimal solution based on the conditional convexity has logical shortcomings from a mathematics point of view. So, the main purpose of this paper will provide the alternative approach to develop a recursive algorithm for determining the optimal solution without using the conditional convexity. Finally, this paper improves many existing articles.

Suggested Citation

  • Kun-Jen Chung, 2013. "The Algorithm to Locate the Optimal Solution for Production System Subject to Random Machine Breakdown and Failure in Rework for Supply Chain Management," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 888-895, September.
    • Handle: RePEc:spr:joptap:v:158:y:2013:i:3:d:10.1007_s10957-012-0160-0
    DOI: 10.1007/s10957-012-0160-0
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    References listed on IDEAS

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    1. Harry Groenevelt & Liliane Pintelon & Abraham Seidmann, 1992. "Production Lot Sizing with Machine Breakdowns," Management Science, INFORMS, vol. 38(1), pages 104-123, January.
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    Cited by:

    1. Harun Öztürk, 2019. "Modeling an inventory problem with random supply, inspection and machine breakdown," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 497-527, June.

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