• The Korean Journal of Applied Statistics
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• v.15 no.1
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• pp.107-117
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• 2002

In this paper we present the optimal replacement policies following the expiration of combination warranty. We consider two types of combination warranty policies: renewing warranty and non-renewing warranty. The criterion used to determine the optimal replacement period is the expected cost rate per unit time from the user'perspective. The optimal maintenance period following the expiration of combination warranty is obtained. Some numerical examples are presented for illustrative purpose.

• Proceedings of the Korean Statistical Society Conference
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• 2001.11a
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• pp.125-130
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• 2001

본 논문에서는 혼합보증기간이 있는 수리 가능한 시스템에 대한 최적의 교체정책을 제안한다. 이 교체정책은 보증기간이 재생되는 경우와 재생되지 않는 두 가지 경우에 대해서 고려되며, 최적의 교체주기를 결정하기 위해서 사용자 관점에서의 단위 시간당 기대비용을 사용한다. 시스템의 고장시간이 와이블 분포를 할 때 수치적 예를 통해서 제안된 최적의 교체정책을 설명한다.

• Journal of the Korean Data and Information Science Society
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• v.21 no.5
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• pp.873-882
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• 2010

This paper considers a Bayesian approach to replacement policy following the expiration of non-renewing combination warranty. The non-renewing combination warranty is the combination of the non-renewing free replacement warranty and the non-renewing pro-rata replacement warranty. We use the criterion based on the expected cost and the expected downtime to determine the optimal replacement period. To do so, we obtain the expected cost rate per unit time and the expected downtime per unit time, respectively. When the failure times are assumed to follow a Weibull distribution with uncertain parameters, we propose the optimal replacement policy based on the Bayesian approach. The overall value function suggested by Jiang and Ji (2002) is utilized to determine the optimal replacement period. Also, the numerical examples are presented for illustrative purpose.