Short Communication
Abstract
This research note improves the optimization process of a manufacturing run time problem studied by Chiu et al. (2011) by presenting a direct proof of convexity of the long-run average cost function of such a problem. It can be used to replace Theorem 1 on conditional convexity given by Chiu et al. enhance quality of optimization process, and eliminate the computational efforts in verifying the conditional convexity.
Key words: Optimization process, convexity, manufacturing, replenishment run time, breakdown, production control.
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