Algorithms for the free replacement warranty with phase-type lifetime distributions
Algorithms for the free replacement warranty with phase-type lifetime distributions
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DOI：
10.1080/07408179508936750
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发表时间：
1995-06
期刊：
影响因子：
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通讯作者：
B. M. Rao
中科院分区：
文献类型：
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作者：
B. M. Rao
本文讨论了免费更换保证金现金流产生的随机过程。考虑到潜在的更新过程，可以根据更新函数获得感兴趣的量的表达式，而更新函数通常很难计算。因此，大多数报告的结果仅适用于属于指数系列的产品寿命。到目前为止，还没有重大的研究寿命分布对产品保修决策的影响。在本文中，我们开发的算法来评估各种感兴趣的项目在决策时的生命周期遵循相型概率分布。大量的数值结果来描述各种模型参数对产品保修决策的影响。
This paper addresses the stochastic process generated by the cash flows resulting from free replacement warranties. Considering the underlying renewal processes, expressions for the quantities of interest can be obtained in terms of the renewal function which, in general, is very difficult to compute. For this reason most reported results are implemented only for product lifetimes belonging to the exponential family. To date there has been no significant research into the impact of the lifetime distribution on product warranty decisions. In this paper we develop algorithms to evaluate various items of interest in decision making when the lifetimes follow phase-type probability distributions. Extensive numerical results are presented to describe the effect of various model parameters on product warranty decisions.