| 关于汽车追尾冲击模型的维修策略 |
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| 引用本文： | 张晓爽,孟宪云,朱振华,贾鹏茹,李彦彦.关于汽车追尾冲击模型的维修策略[J].经济数学,2011,28(1):45-48. |
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| 作者姓名： | 张晓爽 孟宪云 朱振华 贾鹏茹 李彦彦 |
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| 作者单位： | 1. 中航工业航空动力机械研究所,湖南株洲,412002;燕山大学,理学院,河北秦皇岛,066004
2. 燕山大学,理学院,河北秦皇岛,066004 |
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| 基金项目： | 河北省教育厅计划项目(2007323); 河北省自然科学基金项目(A200500301) |
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| 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．
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| 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 |
The Maintenance Policy for the Shock Model on the Rear-end |
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| ZHANG Xiao-shuang,MENG Xian-yun,ZHU Zhen-hua,JIA Peng-ru,LI Yan-yan.The Maintenance Policy for the Shock Model on the Rear-end[J].Mathematics in Economics,2011,28(1):45-48. |
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| Authors: | ZHANG Xiao-shuang MENG Xian-yun ZHU Zhen-hua JIA Peng-ru LI Yan-yan |
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| Institution: | ZHANG Xiao-shuang1,2,MENG Xian-yun2,ZHU Zhen-hua2,JIA Peng-ru2,LI Yan-yan2(1.Avic Aviation Powerplant Research Institute,Zhuzhou,Hunan 412002,China,2.College of Sciences,Yanshan University,Qinhuangdao,Hebei 066004,China) |
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| Abstract: | 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 ve... |
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| Keywords: | the pro-rata warranty the free warranty the rear-end shock model geometric process the maintenance policy |
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