A note on “Determining the optimal run time for EPQ model with scrap,rework, and stochastic breakdowns” |
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Authors: | Yuan-Shyi Peter Chiu Chia-Kuan Ting |
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Institution: | Department of Industrial Engineering and Management, Chaoyang University of Technology, Wufong, Taichung 413, Taiwan |
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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. |
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Keywords: | Manufacturing Machine breakdown Defective item Rework Production |
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