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A note on "Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns"

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  • Chiu, Yuan-Shyi Peter
  • Ting, Chia-Kuan

Abstract

In a recently published paper by Chiu et al. [Chiu, S.W., Wang, S.-L., Chiu, Y.-S.P., 2007. Determining the optimal run time for EPQ model with scrap, rework and stochastic breakdowns. European Journal of Operational Research 180, 664-676], a theorem on conditional convexity of the integrated total cost function was employed in their solution procedure. We reexamine this theorem and present a direct proof to the convexity of the total cost function. This proof can be used in place of Theorem 1 of Chiu et al.'s paper to enhance quality of their optimization process.

Suggested Citation

  • Chiu, Yuan-Shyi Peter & Ting, Chia-Kuan, 2010. "A note on "Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns"," European Journal of Operational Research, Elsevier, vol. 201(2), pages 641-643, March.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:2:p:641-643
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    1. Chiu, Singa Wang & Wang, Shan-Ling & Chiu, Yuan-Shyi Peter, 2007. "Determining the optimal run time for EPQ model with scrap, rework, and stochastic breakdowns," European Journal of Operational Research, Elsevier, vol. 180(2), pages 664-676, July.
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    Cited by:

    1. Shima Shafiee-Gol & Mohammad Mahdi Nasiri & Ata Allah Taleizadeh, 2016. "Pricing and production decisions in multi-product single machine manufacturing system with discrete delivery and rework," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 873-888, December.
    2. Chiu, Yuan-Shyi Peter & Chang, Huei-Hsin, 2014. "Optimal run time for EPQ model with scrap, rework and stochastic breakdowns: A note," Economic Modelling, Elsevier, vol. 37(C), pages 143-148.

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