• Communications for Statistical Applications and Methods
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• v.15 no.6
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• pp.909-923
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• 2008

This paper considers the replacement model and the preventive maintenance model following the expiration of combination warranty for a repairable system. If the system fails after the combination warranty is expired, then it is minimally repaired at each failure. The criterion used to determine the optimal replacement policy and the optimal preventive maintenance policy is the overall value function based on the expected cost rate per unit time and the expected downtime per unit time. The numerical examples are presented for illustrative purpose when the failure time follows a Weibull distribution.

• 한국데이터정보과학회:학술대회논문집
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• 2006.04a
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• pp.319-326
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• 2006

본 논문에서는 최소수리를 갖는 수리가 가능한 시스템의 최적의 교체정책에 대한 베이즈 접급방법을 제안하였다. 특히, 시스템을 운용하는데 필연적으로 발생하는 비용과 비가동시간을 함께 고려하여 기존의 비용에 근거한 연구결과를 확장하고자 하였다. 이를 위해서 단위시간당 기대비용과 단위시간당 기대비가동시간을 구하고, 이 두 기준을 동시에 고려한 최적의 교체주기를 결정하는 방법을 제시하였다. 또한, 순응적 교체정책에 대해서도 살펴보았다.

• 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.