Abstract: Warranty service is a contract between manufacture and consumer, which is usually applied to sales promotion. The price is related to warranty length of product. Considering the reality, based on the consumer utility theory, assuming pro-rata warranty policy and the product failure with Index distribution function, in order to maximum manufacture’s revenue, It studies the differential pricing issues for the product with multiple warranty. It analyzes the optimal combinational strategy with pricing and warranty, and employs optimization theory and method to derive the optimal pricing policy, and verifies the validity of the model through the numerical analysis and analyzes the difference between differential pricing and single pricing. Then it analyzes the impact of the consumer shift flexibility to the benefits of manufacturers.

Key words: management engineering, differential pricing, optimization, multiple warranty, pro-rata warranty policy

摘要： 保修策略是联系厂商和顾客的一种合同责任,它往往用于促进产品的销售。产品保修期长短与其定价有着紧密的联系。本文在考虑一个厂商采用按比例保修策略及设定多个保修期的基础上,以产品的保修期和价格为决策变量,以厂商收益最大化为目标,研究了产品故障次数成指数分布下最优保修期和价格的组合策略,并通过算例比较了差别定价和单一定价下厂商的收益。最后,通过灵敏度分析,研究了消费者保修期偏移弹性对厂商收益所产生的影响。

关键词: 管理工程, 差别定价, 最优化, 多保修期, 按比例保修