This paper studies the situation in which a manufacturer acts as a dealer and buys a second-hand product from one customer and sells it with a two-dimensional warranty to another customer. The manufacturer plans to inspect the product during the warranty period to identify and remove hidden defects and hence prevent failure as well as their corresponding cost. We describe a two-dimensional delay time model in which the customer’s usage rate affects both the time to defect and delay time. This concept is then used to derive a new class of failure models, namely, the two-dimensional and two-stage failure model. The number and time of inspections are determined to minimize the service cost during the warranty period under periodic and sequential inspection policies. Our approach is illustrated using an example from the automobile industry. A sensitivity analysis evaluates the effect of changes in the parameters of the model. Results indicate that the proposed model can aid the decision-making of a manufacturer, particularly in relation to the effect of customers’ usage and the effect of inspection upon the service cost during the warranty period.

中文翻译：

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二次元质保二手产品最优检验政策

本文研究了制造商作为经销商，从一个客户那里购买二手产品并以二维保修的形式将其出售给另一个客户的情况。制造商计划在保修期内对产品进行检查，以识别和消除隐藏的缺陷，从而防止故障以及相应的成本。我们描述了一个二维延迟时间模型，其中客户的使用率会影响缺陷时间和延迟时间。然后利用这一概念推导出一类新的失效模型，即二维和两阶段失效模型。确定检查次数和时间，以根据定期和顺序检查政策将保修期内的服务成本降至最低。我们使用汽车行业的示例来说明我们的方法。敏感性分析评估模型参数变化的影响。结果表明，所提出的模型可以帮助制造商的决策，特别是在客户使用的影响和保修期内检查对服务成本的影响方面。