Upper Bounds of Optimal Burn-In Time under Various Criteria for General Repairable Products with Eventually Increasing Failure Rate

在各種不同準則下具有最終遞增失效率的一般可修復性產品其最佳預處理時間的上界

10.29977/JCIIE.200601.0005

簡郁紘(Yu-Hung Chien)

預處理時間 ； 浴缸曲線失效率 ； 最終遞增失效率 ； 保養策略 ； 保證策略 ； burn-in time ； bathtub failure rate ； eventually IFR ； maintenance policy ； warranty policy

工業工程學刊

23卷1期（2006 / 01 / 01）

48 - 54

英文

預處理(burn-in)是在產品生產出來之後，為增進產品品質所使用的一種製造技術。在特定的準則下，終止預處理程序的最佳時間又叫做最佳預處理時間。許多文獻中，在產品的失效率函數是具有浴缸型曲線的假設下，其最佳預處理時間的性質已被徹底研究過。而在本文中，對於失效率函數是具有最終遞增的情形（即最終遞增失效率），最佳預處理時間的問題及其相關特性將再一次研究；此外，產品的故障情形及其維修特性，在本文中也考慮得較廣義。基於這些假設下，最佳預處理時間的上界將在本文中被推導出來及討論。更明確地說，本文是依循著Mi(2003)的主題及架構，將產品的失效率函數拓展至具有最終遞增的情形，且其故障及維修特性也考慮得更廣義，來呈現出在各種不同的準則下最佳預處理時間的上界。

The bum-in process is a manufacturing technique for ensuring the quality of products after they have been produced. The optimum time for stopping the bum-in process for a given criterion is called the optimal bum-in time. In the literature, assuming the failure rate function of products has a bathtub shape, properties of the optimal bum-in time have been investigated. In this paper, several characteristics of the optimal bum-in problems are studied for the case of eventually increasing failure rate (IFR). Moreover, the failure/repair characterization of products considered in this study are also generalized. Under these assumptions, upper bounds for the optimal bum-in time are derived and discussed. In brief, this paper presents some results that follow from those of Mi (2003) by extending the failure rate function to an eventually IFR and by considering generalized product failure/repair characteristics.

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