寿命服从伽马分布的退化系统的最优订货更换策略  

Optimal ordering and replacement policy for a deteriorating system with Gamma distributed life time

作　　者：成国庆[1] 李玲[1] 唐应辉[2] 柳炳祥[1] 

机构地区：[1]景德镇陶瓷学院信息工程学院,江西景德镇333403 [2]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《山东大学学报（理学版）》2012年第9期116-120,126,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(71171138);国家科技支撑计划项目(2012BAH25F02);江西省教育厅青年科学基金资助项目(GJJ12507)

摘　　要：在可修退化系统中引入提前订货机制,将系统订货时刻M作为决策变量,与系统更换时刻N形成二维联合策略(N,M)。在假设系统寿命服从伽马分布、补货提前期服从指数分布的条件下,利用更新过程理论求得系统平均费用率表达式,进而研究了最优的二维联合策略以使系统的平均费用率最小。通过算例给出最优策略的数值解,并对相关参数作了敏感度分析。A deteriorating repairable system with stochastic lead time is proposed. An ordering policy M and a replace ment policy N based on the number of system failures form twodimension policy（N,M）. The aim is to find out the op timal policy such that the average cost rate of the system is minimized. Assuming that the system life time follows Gam ma distribution and the stochastic lead time follows an exponential distribution, an explicit expression of average cost rate was given by using renewal process. A numerical example was provides to illustrate the proposed model, and the sensitivities for the optimal policy with respect to parameters also analyzed.

关 键 词：退化系统 伽马分布 订货提前期 更换策略 

分 类 号：O211.9[理学—概率论与数理统计]