关于汽车追尾冲击模型的维修策略  

The Maintenance Policy for the Shock Model on the Rear-end

作　　者：张晓爽[1,2] 孟宪云[2] 朱振华[2] 贾鹏茹[2] 李彦彦[2] 

机构地区：[1]中航工业航空动力机械研究所,湖南株洲412002 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《经济数学》2011年第1期45-48,共4页Journal of Quantitative Economics

基　　金：河北省教育厅计划项目(2007323);河北省自然科学基金项目(A200500301)

摘　　要：讨论了关于汽车追尾的冲击模型的可修系统.在系统不能修复如新的条件下,假定汽车运行时间构成随机递减的几何过程,逐次追尾后的维修时间构成随机递增的几何过程.分别考虑汽车按比例保修和免费保修条件下,以汽车追尾次数N为策略,以车主在汽车长期运行单位时间内的期望费用为目标函数,导出目标函数的解析表达式P1(N)与P2(N).最后,通过实例分析,求出最优策略N*,使得车主在汽车长期运行单位时间内的期望费用最小.A repairable system with the shock model on the rear-end was studied. Under the condition that the system can not be repaired as good as new, we assume that the vehicle running time constitutes a decreasing stochastically geometric process, and the repair time after successive rear-end constitutes an increasing stochastically geometric process. The pro rata warranty,the free warranty strategy and the replace policy based on the failure number N were studied, and the explicit expressions P1 （N） and P2 （N） of the vehicle owners＇ expected cost per unit time owing to the vehicle running in the long term was derived. Finally, the optimal strategy N＊ was obtained by the numerical example,which makes the vehicle owners＇ expected cost per unit time minimal in the long term of vehicle running.

关 键 词：按比例保修 免费保修 汽车追尾 冲击模型 几何过程 维修策略 

分 类 号：O224[理学—运筹学与控制论]