基于Semi-Markov模型的多态系统不完全维修决策
收稿日期: 2016-03-02
修回日期: 2016-06-13
网络出版日期: 2016-06-22
基金资助
国家自然科学基金（61271153，61372039）
Imperfect maintenance decision for multi-state system based on Semi-Markov model
Received date: 2016-03-02
Revised date: 2016-06-13
Online published: 2016-06-22
Supported by
National Natural Science Foundation of China (61271153, 61372039)
为提高复杂多态系统的任务完成能力，降低维修资源消耗，提出了基于Semi-Markov模型的预防性维修和修复性维修相结合的多态系统不完全维修决策方法。采用Semi-Markov模型描述部件的性能衰退过程，利用通用生成函数方法对系统的可靠性指标进行分析，在不完全维修模型基础上，从“系统级维修的角度”出发，提出了预防性维修和修复性维修相结合的不完全维修决策方法，确保系统在有限的服役期内，获得最大净效益。并以某航空发动机压气机子系统的维修决策为例进行分析，该方法可以有效的结合预防性维修和修复性维修的优势，提高了系统的任务完成能力，具有很强的通用性和工程应用价值。
关键词： 多态系统; Semi-Markov模型; 预防性维修; 修复性维修; 维修决策
潘刚 , 尚朝轩 , 蔡金燕 , 梁玉英 , 孟亚峰 . 基于Semi-Markov模型的多态系统不完全维修决策[J]. 航空学报, 2017 , 38(2) : 320178 -320192 . DOI: 10.7527/S1000-6893.2016.0189
In order to improve the mission completion capability of complex multi-state system, reducing maintenance resource consumption, a maintenance decision method for multi-state system based on Semi-Markov model were provided, using Semi-Markov model describes the degradation process of components, the universal generating function was used to analyze the reliability indicator of system. Based upon the imperfect maintenance decision model, from "the perspective of system maintenance", an imperfect maintenance decision method is proposed combined preventive maintenance with corrective maintenance, ensure that the system obtains maximum net benefit in the limited service period. and verification and illustration are conducted with aero-engine compressor subsystem. This method can effectively combine preventive maintenance and corrective maintenance advantages, enhances the mission completion capability of system, and has a strong versatility and engineering application value.
[1] 李春洋. 基于多态系统理论的可靠性分析与优化设计方法研究[D]. 长沙:国防科学技术大学, 2010:2-5. LI C Y. Research on reliability analysis and optimization based on the multi-state system theory[D]. Changsha:National University of Defense Technology, 2010:2-5(in Chinese).
[2] TIAN Z G. Multi-state system reliability analysis and optimization[D]. Alberta:University of Alberta, 2007:3-4.
[3] 任淑红. 民航发动机性能可靠性评估与在翼寿命预测方法研究[D]. 南京:南京航空航天大学, 2010:2-4. REN S H. Research on methods of performance reliability assessments and life on wing prediction for civil aeroengine[D]. Nanjing:Nanjing University of Aeronautics and Astronautics, 2010:2-4(in Chinese).
[4] 刘宇. 多状态复杂系统可靠性建模及维修决策[D]. 成都:电子科技大学, 2011:48-68. LIU Y. Multi-State complex system reliability modeling and maintenance decision[D]. Chengdu:University of Electronic Science and Technology of China, 2011:48-68(in Chinese).
[5] LEVITIN G, LISNIANSKI A. Joint redundancy and maintenance optimization for multistate series-parallel systems[J]. Reliability Engineering and System Safety, 1999, 64(1):33-42.
[6] MUSTAPHA N, DAOUD A K. Optimization of series-parallel multi-state systems under maintenance policies[J]. Reliability Engineering and System Safety, 2007, 92(12):1620-1626.
[7] NOURELFATH M, DUTUIT Y. A combined approach to solve the redundancy optimization problem for multi-state systems under repair policies[J]. Reliability Engineering and System Safety, 2004, 86(3):205-213.
[8] CHER M T, NAGARAJAN R. A framework to practical predictive maintenance modeling for multi-state systems[J]. Reliability Engineering and System Safety, 2008, 93(8):1138-1150.
[9] CHER M T, NAGARAJAN R. Imperfect predictive maintenance model for multi-state systems with multiple failure modes and element failure dependency[C]//Prognostics & System Health Management Conference, 2010.
[10] 狄鹏, 黎放, 陈童. N型更换策略下多状态可修系统可靠性规律研究[J]. 系统工程与电子技术, 2014, 36(3):603-607. DI P, LI F, CHEN T. Research for the reliability of multi-state repairable system with replacement policy[J]. Systems Engineering and Electronics, 2014, 36(3):603-607(in Chinese).
[11] 成国庆, 李玲, 唐应辉. 多态退化串联可修系统的最优维修更换策略[J]. 系统工程理论与实践, 2012, 32(5):1118-1123. CHENG G Q, LI L, TANG Y H. Optimal replacement policy for a deteriorating series repairable system with multi-state[J]. Systems Engineering-Theory & Practice, 2012, 32(5):1118-1123(in Chinese).
[12] LIU Y, HUANG H Z. Optimal replacement policy for multi-state system under imperfect maintenance[J]. IEEE Transactions on Reliability, 2010, 59(3):483-495.
[13] 葛恩顺, 李庆民, 张光宇, 等. 考虑不完全维修的劣化系统最优视情维修策略[J]. 航空学报, 2013, 34(2):316-324. GE N S, LI Q M, ZHANG G Y, et al. Optimization of condition-based maintenance for degradation systems under imperfect maintenance[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(2):316-324(in Chinese).
[14] 黄傲林, 李庆民, 黎铁冰, 等. 劣化系统周期预防性维修策略的优化[J]. 系统工程与电子技术, 2014, 36(6):1103-1107. HUANG A L, LI Q M, LI T B. Optimization of periodic preventive maintenance policies for deteriorating repairable system[J]. Systems Engineering and Electronics, 2014, 36(6):1103-1107(in Chinese).
[15] HUANG C C, YUAN J. A two-stage preventive maintenance policy for a multi-state deterioration system[J]. Reliability Engineering and System Safety, 2010, 95(11):1255-1260.
[16] 李大伟, 张志华, 钟强晖, 等. 复杂退化系统的组合维修策略优化[J]. 航空学报, 2015, 36(3):872-880. LI D W, ZHANG Z H, ZHONG Q H, et al. Optimal combination maintenance strategy of deteriorating complex system[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(3):872-880(in Chinese).
[17] 葛小凯, 胡剑波, 张博锋. 考虑依赖性的多部件系统状态维修优化仿真建模[J]. 航空学报, 2013, 34(8):1854-1863. GE X K, HU J B, ZHANG B F. Simulation modeling for condition based maintenance optimization of multi-component systems with dependencies[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(8):1854-1863(in Chinese).
[18] ISAAC W S, MUSTAPHA N, DAOUD A. Performance evaluation of multi-state degraded systems with minimal repairs and imperfect preventive maintenance[J]. Reliability Engineering and System Safety, 2010, 95(2):65-69.
[19] WU J, NG T S A, XIE M, et al. Analysis of maintenance policies for finite life-cycle multi-state systems[J]. Computers and Industrial Engineering, 2010, 59(4):638-646.
[20] 尚彦龙, 蔡琦, 赵新文, 等. 基于UGF和Semi-Markov方法的反应堆泵机组多状态可靠性分析[J]. 核动力工程, 2012(1):117-123. SHANG Y L, CAI Q, ZHAO X W, et al.Multi-state reliability for pump group in nuclear power system based on UGF and Semi-Markov process[J]. Nuclear Power Engineering, 2012(1):117-123(in Chinese).
[21] LISNIANSKI A, FRENKEL I, DING Y. Multi-state system reliability analysis and optimization for engineers and industrial managers[M]. London:Springer, 2010.
[22] LISNIANSKI A, LEVITIN G. Multi-state system reliability:assessment, optimization and applications[M]. Singapore:World Scientific, 2003:155-163.
[23] 曹晋华, 程侃. 可靠性数学引论[M]. 北京:高等教育出版社, 2006:15-16. CAO J H, CHENG K. Introduction to the reliability mathematics[M]. Beijing:Higher Education Press, 2006:15-16(in Chinese).
[24] 茆诗松, 王玲玲. 加速寿命试验[M]. 北京:科学出版社, 1997:9-12. MAO S S, WANG L L. Accelerated life test[M]. Beijing:Science Press, 1997:9-12(in Chinese).
/
| 〈 |
|
〉 |
CJA