Abstract: With the increasing homogeneity of products, attractive warranty has become a useful tool for enhancing brand image, stimulating demand and gathering market feedback. Firstly, the Wiener process associated with condition-based maintenance is established to model the performance degradation. Then we consider the effects of product price, warranty length and pro-rata proportion on demand function, and determine the optimal warranty length and pro-rata proportion with an aim to maximize the supplier's expected profit. Through data experiments under two conditions, namely with and without condition-based maintenance, the total profits under the two conditions are compared. Additionally, we investigate the impact of the speed of the product's deterioration process, cost parameters and product price on the supplier's profit. The results show that providing warranty policy incorporating condition-based maintenance contributes to maintaining product reliability at a relatively high level, but also effectively improving the supplier's profit.

Key words: warranty policy, condition-based maintenance, Wiener process, demand function

摘要： 随着产品同质化程度不断提升,完善的质保服务已成为厂商提升品牌形象、刺激用户购买需求和全面反馈市场信息的主要途径。本文以具有退化特性的耐用品为研究对象,建立了视情维修条件下性能退化的维纳过程模型,考虑产品价格、质保期长度和维修费用承担比例对产品需求的影响,以最大化厂商利润为目标,确定了最优的质保期长度和维修费用承担比例。结合算例,比较了无视情维修和提供视情维修两种情形下对应的厂商利润,并分析了产品退化速率、成本参数和产品价格对利润的影响。研究结果表明,在质保服务范围内提供合理的视情维修服务既可将产品可靠性维持在一个较高水平,又可显著提升厂商利润。

关键词: 质保政策, 视情维修, 维纳过程, 需求函数