引用本文: | 郭驰名,郭波,王文彬,等.非周期不完全检测下的维修优化[J].国防科技大学学报,2013,35(4):176-181.[点击复制] |
GUO Chiming,GUO Bo,WANG Wenbin,et al.Maintenance optimization under non-periodic imperfect inspections[J].Journal of National University of Defense Technology,2013,35(4):176-181[点击复制] |
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非周期不完全检测下的维修优化 |
郭驰名1, 郭波1, 王文彬2, 彭锐2 |
(1.国防科技大学 信息系统与管理学院,湖南 长沙 410073;2.北京科技大学 东陵经济管理学院,北京 100083)
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摘要: |
针对gamma退化型单部件系统,基于更新和半更新过程理论建立了以期望费用率最小为目标的非周期不完全检测下的维修优化模型。利用检测规划函数使系统的检测间隔期可以依据系统的状态进行调整。为更加贴近实际,模型考虑了测量误差对维修优化的影响。通过计算可以得到最优预防性维修阈值和检测方案。给出了模型的应用算例,通过对退化速率和费用参数的灵敏度分析说明了模型的有效性。与不考虑检测误差的优化结果进行对比,证明了考虑检测误差的重要性。 |
关键词: Gamma 过程 非周期检测 检测规划 维修 |
DOI: |
投稿日期:2012-10-30 |
基金项目:国家自然科学基金资助项目(71201166,20676109,11101428) |
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Maintenance optimization under non-periodic imperfect inspections |
GUO Chiming1, GUO Bo1, WANG Wenbin2, PENG Rui2 |
(1.College of Information System and Management, National University of Defense Technology, Changsha 410073, China;2.Dongling School of Economics and Management, Beijing University of Science and Technology, Beijing 100083, China)
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Abstract: |
This paper develops a non-periodic inspection maintenance model for a gamma deteriorating single-unit system based on regenerative and semi- regenerative process theory. Minimizing the expected average cost per unit time is chosen as the optimization goal. The model uses an inspection scheduling function to arrange the inspection scheme based on the system state. Considering measurement errors make the model more realistic. The preventive maintenance threshold and the inspection scheme are obtained after the optimization. A numerical example is given in the last and proves the effectiveness of the model by the sensitivity analysis of degradation rate and cost parameters. By the comparison with the optimal results without considering measurement errors, it proves that measurement error is not a trivial thing for the maintenance optimization. |
Keywords: Gamma process non-periodic inspection inspection scheduling maintenance |
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