## Abstract This paper is concerned with optimization of production run time that takes stochastic breakdown and the reworking of defective items into consideration. In a realβlife manufacturing process, production of imperfect quality items as well as random breakdowns of production equipment is i
Remarks on the optimization process of a manufacturing system with stochastic breakdown and rework
β Scribed by Yuan-Shyi Peter Chiu; Feng-Tsung Cheng; Huei-Hsin Chang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 238 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
This paper reexamines the optimization process of a manufacturing system with stochastic breakdown and rework proposed by Chiu [S.W. Chiu, An optimization problem of manufacturing systems with stochastic machine breakdown and rework process, Applied Stochastic Models in Business and Industry 24 (2008) 203-219]. The proof of convexity of the long-run average cost function for the aforementioned manufacturing system is provided in this note. It can be used to replace the conditional convexity given in Theorem 1 of Chiu ( 2008) [1]. Therefore, when determining the optimal solution for such a real-life system, computational efforts in verifying the conditional convexity can now be omitted, due to the improved quality of the optimization process.
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