1. Note on “replenishment run time problem with machine breakdown and failure in rework”
- Author
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Lin, Hong-Dar and Chiu, Yuan-Shyi Peter
- Subjects
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RUN time systems (Computer science) , *FAILURE analysis , *SEARCH algorithms , *MATHEMATICAL analysis , *COST functions , *COMPUTATIONAL complexity , *MATHEMATICAL optimization , *PROOF theory - Abstract
Abstract: A recursive search algorithm along with mathematical analysis was used in a recent paper (Chiu, Y.-S.P., Chen, K.-K., Ting, C.-K., 2012. Replenishment run time problem with machine breakdown and failure in rework. Expert Systems with Applications, 39, 1291–1297) to determine the optimal operating policy for a specific replenishment run time problem. In its optimization procedure a conditional convexity theorem on the cost function was adopted. This paper presents a direct proof of convexity of the function to enhance quality of their solution process and eliminate unnecessary computational efforts in verifying the conditional convexity. [Copyright &y& Elsevier]
- Published
- 2012
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