The Model for the Modified Minimal Repair/Replacement Problems with New Types of Replacement

在新型置換系統出現時之維修／置換模式探討

陳銘芷(Ming-Chih Chen) ； 鄭純媛(Chun-Yuan Cheng)

《工業工程學刊》 23卷4期 (2006/07) Pp. 337-344

https://doi.org/10.29977/JCIIE.200607.0008

摘要

隨著科技不停進步，在設備或儀器之置換問題中，當目前使用中設備淘汰後，可能將由更新型系統所取代，新系統之取得成本及可靠度皆可能與原來之設備不同，因此傳統置換策略中新置換系統與被取代系統是相同之假設將不成立。針對此問題，本研究提出一維修置換策略之修正模式，模式中除了考量一般常用之最小修理、預防置換及故障置換等成本外，並包含一與使用年限相關之操作成本。首先討論於衡量總期望折扣成本最小時之最佳置換策略為何，在最低期望總折扣成本下，可證明最佳置換策略仍具有(t, T)策略的架構，並可推導出長期總期望折扣成本式。接著進一步提出總期望折扣成本之演算式，最後以一韋伯壽命分配為例，討論當模式中只有舊型系統、或只有新型系統，以及目前使用中為舊型系統當替換後使用新型系統這三種情況下之最佳置換策略。

關鍵字

最小修理 ； 最佳置換 ； 馬可夫決策理論

並列摘要

In this paper, we develop a modified minimal repair/replacement problem which is formulated as a Markov decision process. The operating cost is assumed to be a non-decreasing function of the system's age. A specific maintenance action for a manufacturing system considered here is whether to have a replacement, to minimal repair or to keep it operating. However, the replacement of an improved system is available, which was assumed identical in the literature. This new ”improved” system could be different in its lifetime distribution or in its associated costs for repair or replacement. It is shown that a control limit policy, or in particular a (t, T) policy, is optimal over the space of all possible policies under the discounted cost criterion. A two-phase procedure is developed for the optimal (t, T) policy with two types of manufacturing system based on the total expected discounted cost.

並列關鍵字

minimal repair ； optimal replacement ； Markov decision theory

參考文獻

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