This paper considers a prorated lifetime warranty strategy for high-value and durable products under two-dimensional warranty. Different from previous studies, the factor of capital time value is introduced into this study for a long-period lifetime warranty coverage. Besides, the mathematical model considers the warranty coverage into three situations and adopts minimal repair and complete/minimal maintenance strategy in the proposed model. To illustrate the proposed model, this paper analyzes the manufacturer cost, consumer cost, additional warranty service price and profit. The main goal of this paper is to provide a comprehensive warranty service to consumers. Through a numerical example, it is found that the proposed lifetime warranty strategy can provide consumers warranty service throughout product lifetime and reduce the expected cost expenditure to consumers. In addition, it can also provide additional profit sources to manufacturers and meet the realization of warranty objectives, while combined maintenance strategy is adopted in lifetime warranty coverage.

中文翻译：

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为二维保修下的高价值耐用产品设计按比例分配的终身保修策略

本文考虑了二维保修下针对高价值和耐用产品的按比例分配的终身保修策略。与以前的研究不同，本研究引入了资本时间价值因素，以提供长期的终身保修。此外，数学模型将保修范围分为三种情况，并在建议的模型中采用最少的维修和完整/最少的维修策略。为了说明该模型，本文分析了制造商成本，消费者成本，附加保修服务价格和利润。本文的主要目的是为消费者提供全面的保修服务。通过一个数字示例，可以发现，提出的终生保修策略可以在整个产品生命周期内为消费者提供保修服务，并减少对消费者的预期成本支出。此外，它还可以为制造商提供额外的利润来源，并达到保修目标，而终身保修范围内则采用了组合维护策略。