更新担保条件时可维修产品最优维修期研究

基于用户的利益,研究了更新担保条件时可维修产品的最优维修期.提出用户产品投资生命周期概念,依据担保政策和随机过程理论得到产品投资周期.考虑用户的成本构成,建立了用户产品投资周期成本率函数,得到最优维修期函数.数字算例证明了产品生命周期的实际意义.担保履行期反映了担保消除的用户面临的产品早期失效的风险,延长担保期延长了用户的产品投资周期同时可能缩短维修期,产品的失效率函数对产品投资周期经济指标影响显著.

Research on the Optimal Maintenance Period for Repairable Product with Renewing Warranty

The optimal maintenance period for repairable product with renewing warranty was researched in behalf of the customer.The concept of product investment cycle(PIC) of the customer was proposed and the product investment cycle was derived on the basis of the warranty policy and the stochastic process theory.Considering the customer cost structure,the cost rate function of the PIC is established and the optimal maintenance period function is derived.A numerical example demonstrates the practical significance of the PIC.The duration of fulfilling warranty reduces the customer’s risk of product early failure.Extended warranty prolongs the PIC of customer and may shorten the maintenance period.The product failure rate function has a significant impact on the economical items of the PIC.