可修系统的最优更换策略  

Optimal Replacement Policies for Repairable System

作　　者：梁小林[1] 李泽慧[1] 

机构地区：[1]兰州大学数学与统计学院

出　　处：《湖南师范大学自然科学学报》2007年第4期15-18,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10471057);教育部博士学科点科研基金资助项目(20050730002)

摘　　要：研究了对偶δ-冲击模型的维修问题.在更换策略N下,计算了单位时间的长期平均价格,并通过最小化单位时间的长期平均价格获得了该模型的最优更换策略.最后,给出了一个数值例子来说明本模型的应用.The maintenance problem about antithetic δ-shock model is studied. Firstly, if a replacement policy N by which the system will be replaced by an identical new one at the time following the Nth failure is adopted, the long-run average cost per unit time is determined. Then the optimal replacement policy N^＊ for minimizing the long-run average cost per unit time is determined. Finally, an example is given to explain the model and the methodology developed in this paper.

关 键 词：维修 对偶δ-冲击模型 几何过程 最优策略 

分 类 号：O213.2[理学—概率论与数理统计] O121[理学—数学]