Flexible warranty policies can satisfy customers by allowing them to select the warranty regions according to their usage rates. However, customers are usually unaware of their future usage rates when they purchase a product, which makes it difficult to make sound decisions. To address the problem, this paper proposes a flexible two‐dimensional basic warranty policy with two continuous rectangular regions. Customers can gain experience of their usage rates through the first region, and thus make the second region more cost‐effective. The total price of the two subregions is equal to the basic warranty price, which is prespecified by the manufacturer. The objective is to determine the optimal boundary between the two regions from the perspective of customers. First, the learning effect is used to depict the process of gaining experience from the first region. A warranty pricing model is then developed based on the polynomial failure intensity model. On that basis, the customer's expected repair cost over the warranty period is analyzed, and a numerical method is proposed for the optimization problem. A numerical example is presented to demonstrate the effectiveness of the proposed policy. The results show that customers can benefit more from the proposed policy than from the iso‐cost warranty policy.

中文翻译：

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具有两个连续保修区域的灵活的二维基本保修政策

灵活的保修政策允许客户根据使用率选择保修区域，从而使他们满意。但是，客户在购买产品时通常不知道他们的未来使用率，这使得做出明智的决定变得困难。为了解决这个问题，本文提出了一个具有两个连续矩形区域的灵活的二维基本保修政策。客户可以通过第一个区域获得使用率的经验，从而使第二个区域更具成本效益。这两个分区的总价格等于制造商预先指定的基本保修价格。目的是从客户的角度确定两个区域之间的最佳边界。第一，学习效果用于描述从第一区域获得经验的过程。然后基于多项式故障强度模型开发保修定价模型。在此基础上，分析了客户在保修期内的预期维修费用，并针对优化问题提出了一种数值方法。给出了一个数值示例，以证明所提出政策的有效性。结果表明，与等价保修政策相比，客户可以从提议的政策中受益更多。给出了一个数值示例，以证明所提出政策的有效性。结果表明，与等价保修政策相比，客户可以从提议的政策中受益更多。给出了一个数值示例，以证明所提出政策的有效性。结果表明，与等价保修政策相比，客户可以从提议的政策中受益更多。