英文标题：
《Warranty Cost Analysis with an Alternating Geometric Process》
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作者：
Richard Arnold, Stefanka Chukova, Yu Hayakawa, Sarah Marshall
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最新提交年份：
2018
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英文摘要：
In this study we model the warranty claims process and evaluate the warranty servicing costs under non-renewing and renewing free repair warranties. We assume that the repair time for rectifying the claims is non-zero and the repair cost is a function of the length of the repair time. To accommodate the ageing of the product and repair equipment, we use a decreasing geometric process to model the consecutive operational times and an increasing geometric process to model the consecutive repair times. We identify and study the alternating geometric process (AGP), which is an alternating process with cycles consisting of the item\'s operational time followed by the corresponding repair time. We derive new results for the AGP in finite horizon and use them to evaluate the warranty costs over the warranty period and over the life cycle of the product under a non-renewing free repair warranty (NRFRW), a renewing free repair warranty (RFRW) and a restricted renewing free repair warranty (RRFRW(n)). Properties of the model are demonstrated using a simulation study.
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中文摘要：
在这项研究中，我们对保修索赔过程进行了建模，并评估了非续保和续保免费维修保修下的保修服务成本。我们假设纠正索赔的维修时间为非零，维修成本是维修时间长度的函数。为了适应产品和维修设备的老化，我们使用递减几何过程来模拟连续操作时间，使用递增几何过程来模拟连续维修时间。我们确定并研究了交替几何过程（AGP），这是一个交替过程，其周期由项目的运行时间和相应的维修时间组成。我们在有限期内得出AGP的新结果，并使用这些结果来评估产品在保修期内和生命周期内的保修成本，包括非续约免费维修保修（NRFRW）、续约免费维修保修（RFRW）和限制续约免费维修保修（RRFRW（n））。通过仿真研究，验证了该模型的性能。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：General Finance 一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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