论文标题
在II型统一混合审查方案下确定贝叶斯最佳保修长度
Determination of Bayesian optimal warranty length under Type-II unified hybrid censoring scheme
论文作者
论文摘要
确定产品一生中适当的保修长度对制造商来说是一个重要的问题。在本文中，基于II型统一的混合审查数据，计算了合并免费替换产品和Pro-Rata保修策略的最佳保修期限。在这种情况下，提出了非线性的Pro-RATA保修政策。最佳保修长度是通过最大化预期的效用函数获得的。关于时间到失败数据的后验预测模型，对期望进行了预期。据观察，与线性保修策略相比，非线性的Pro-Rata保修政策具有更大的保修期限，并具有最高利润。最后，为了说明使用非线性Pro-Rata保修策略的优势，对真实数据进行了分析。
Determination of an appropriate warranty length for the lifetime of the product is an important issue to the manufacturer. In this article, optimal warranty length of the product for the combined free replacement and the pro-rata warranty policy is computed based on the Type-II unified hybrid censored data. A non-linear pro-rata warranty policy is proposed in this context. The optimal warranty length is obtained by maximizing an expected utility function. The expectation is taken with respect to the posterior predictive model for the time-to-failure data. It is observed that the non-linear pro-rata warranty policy gives a larger warranty length with maximum profit as compared to linear warranty policy. Finally, a real-data set is analyzed in order to illustrate the advantage of using non-linear pro-rata warranty policy.
