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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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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.

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References

  1. Hayek, P.A., Salameh, M.K.: Production lot sizing with the reworking of imperfect quality items produced. Prod. Plan. Control 12, 584–590 (2001)

    Article  Google Scholar 

  2. Jamal, A.M.M., Sarker, B.R., Mondal, S.: Optimal manufacturing batch size with rework process at a single-stage production system. Comput. Ind. Eng. 47, 77–89 (2004)

    Article  Google Scholar 

  3. Cardenas-Barron, L.E.: On optimal manufacturing batch size with rework process at single-stage production system. Comput. Ind. Eng. 53, 196–198 (2007)

    Article  Google Scholar 

  4. Cardenas-Barron, L.E.: Optimal manufacturing batch size with rework in a single-stage production system: a simple derivation. Comput. Ind. Eng. 55, 758–765 (2008)

    Article  Google Scholar 

  5. Cardenas-Barron, L.E.: Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput. Ind. Eng. 57, 1105–1113 (2009)

    Article  Google Scholar 

  6. Groenevelt, H., Pintelon, L., Seidmann, A.: A production lot sizing with machine breakdown. Manag. Sci. 38, 104–123 (1992)

    Article  MATH  Google Scholar 

  7. Chiu, S.W.: Robust planning in optimization for production system subject to random machine breakdown and failure in rework. Comput. Oper. Res. 37, 899–908 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  8. Avriel, M.: Nonlinear Programming: Analysis and Methods. Prentice-Hall, Cliffs (1976)

    MATH  Google Scholar 

  9. Varberg, D., Purcell, E.J., Rigdon, S.E.: Pearson Education International (2007)

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Correspondence to Kun-Jen Chung.

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Chung, KJ. The Algorithm to Locate the Optimal Solution for Production System Subject to Random Machine Breakdown and Failure in Rework for Supply Chain Management. J Optim Theory Appl 158, 888–895 (2013). https://doi.org/10.1007/s10957-012-0160-0

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  • DOI: https://doi.org/10.1007/s10957-012-0160-0

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