Optimal Warranty Period and Optimal Replacement Age Out-Of-Warranty

最佳保固期限與最佳保固期後的置換年齡

簡郁紘(Yu-Hung Chien) ； 徐世輝(Shey-Huei Sheu)

《工業工程學刊》 22卷5期 (2005/09) Pp. 401-407

https://doi.org/10.29977/JCIIE.200509.0005

摘要

本文是考慮一個具有廣義可修復性模式的產品，其保固服務策略是「免費維修且置換時保固期更新」。所謂廣義可修復性的模式，指的是產品的故障型態有兩種：一種是型Ⅰ故障（輕微性的故障），藉由小修理即可修復；另一種是型Ⅱ故障（嚴重性的故障），它只能藉由置換來解決。小修理是指產品經過修復後即可正常運作，但其故障率將回復到故障前的那一刻一樣未改變。本研究的主要目標就是，分別站在賣方（製造商）及買方（消費者）的立場，來決定能使相關成本函數最小的產品最佳保固期限及最佳保固期後的置換年齡。在一些適當且合理的假設條件下，我們將證明出能使相關成本函數最小的最佳解是存在且唯一的。最後，我們將以一個數值範例來做說明。

關鍵字

保固 ； 最佳化 ； 廣義可修復性模式 ； 小修理 ； 置換

並列摘要

This paper considers a general repairable product sold under a failure-free renewing warranty agreement. In the case of a general repairable model, there can be two types of failure: type Ⅰ failure (a minor failure), which can be rectified by minimal repairs; and type Ⅱ failure (a catastrophic failure), which can be removed only by replacement. After a minimal repair, the product is operational but the failure rate of the product remains unchanged. The aim of this paper is to determine the optimal warranty period and the optimal out-of-warranty replacement age, from the perspective of the seller (manufacturer) and the buyer (consumer), respectively, while minimizing the corresponding cost functions. And we can prove under some mild conditions, the optimal solution that minimizing the cost function is uniquely exists and finite. Finally, a numerical example is presented.

並列關鍵字

warranty ； optimization ； general repairable model ； minimal repair ； replacement

參考文獻

Barlow, R. E.,F. Proschan(1965).(Mathematical Theory of Reliability).

Blischke, W. R.,D. N. P. Murthy(1992).Product warranty management-I: A taxonomy for warranty policie.European Journal of Operational Research.62,127-148.

Blischke, W. R.,D. N. P. Murthy(1994).Warranty Cost Analysis.New York:Dekker.

Block, H. W.,W. S. Borges,T. H. Savits(1985).Age dependent minimal repair.Journal of Applied Probability.22,370-385.

Ja, S. S.,V. G. Kulkami,A. Mitra,J. G. Patankar(2001).A nonrenewable minimal-repair warranty policy with time-dependent costs.IEEE Transactions on Reliability.50,346-352.