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基于机会策略的多态系统视情更换决策

潘刚 尚朝轩 蔡金燕 梁玉英 孟亚峰

潘刚, 尚朝轩, 蔡金燕, 等 . 基于机会策略的多态系统视情更换决策[J]. 北京航空航天大学学报, 2017, 43(2): 319-327. doi: 10.13700/j.bh.1001-5965.2016.0155
引用本文: 潘刚, 尚朝轩, 蔡金燕, 等 . 基于机会策略的多态系统视情更换决策[J]. 北京航空航天大学学报, 2017, 43(2): 319-327. doi: 10.13700/j.bh.1001-5965.2016.0155
PAN Gang, SHANG Chaoxuan, CAI Jinyan, et al. Condition-based change decision for multi-state system based on opportunistic policy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(2): 319-327. doi: 10.13700/j.bh.1001-5965.2016.0155(in Chinese)
Citation: PAN Gang, SHANG Chaoxuan, CAI Jinyan, et al. Condition-based change decision for multi-state system based on opportunistic policy[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(2): 319-327. doi: 10.13700/j.bh.1001-5965.2016.0155(in Chinese)

基于机会策略的多态系统视情更换决策

doi: 10.13700/j.bh.1001-5965.2016.0155
基金项目: 

国家自然科学基金 61372039

国家自然科学基金 61271153

详细信息
    作者简介:

    潘刚, 男, 博士研究生。主要研究方向:多状态系统可靠性评估与维修决策

    尚朝轩, 男, 博士, 教授, 博士生导师。主要研究方向:装备测试与故障诊断

    通讯作者:

    孟亚峰, 男, 博士, 副教授, 硕士生导师。主要研究方向:装备测试与故障诊断, E-mail:myfrad@163.com

  • 中图分类号: TB114.3

Condition-based change decision for multi-state system based on opportunistic policy

Funds: 

National Natural Science Foundation of China 61372039

National Natural Science Foundation of China 61271153

More Information
  • 摘要:

    针对部件间存在性能相关性和经济相关性的多态系统,提出了基于机会策略的多态系统视情更换维修决策方法。采用Markov模型描述部件的衰退过程,利用通用生成函数对系统的可靠性指标进行分析,以机会策略为基础,从“部件级更换的角度”出发,提出了一种新的多态系统视情更换维修决策方法,确保系统在有限服役期内,获得最大经济效益。并以某雷达功率放大系统的更换维修决策为例进行分析,该方法在考虑部件间经济相关性的同时,一定程度上减少了总的维修次数,提高了装备系统的战场保障能力,具有很强的通用性和工程应用价值。

     

  • 图 1  部件的Markov模型

    Figure 1.  Component Markov model

    图 2  某型雷达功率放大系统

    Figure 2.  A certain type of radar power amplifying system

    图 3  系统可靠度与时间的关系

    Figure 3.  Relationship between system reliability and time

    图 4  系统平均瞬态性能与时间的关系

    Figure 4.  Relationship between system mean instantaneous performance and time

    表  1  费用相关参数

    Table  1.   Cost related parameters

    部件编号 cr/(万元·a-1) cm/(万元·a-1)
    1 5 2
    2 3 1
    3 4 2
    4 4.4 2.2
    5 4.8 2.4
    6 5 2.6
    7 3 1.5
    下载: 导出CSV

    表  2  部件状态转移参数

    Table  2.   Component state transition rate parameters parameters

    部件编号 性能水平/% 状态转移率/a-1 更换率/a-1
    1 g51=100 λ5, 41=0.12, λ5, 31=0.135
    λ5, 21=0.145, λ5, 11=0.25
    μ4, 51=180
    μ3, 51=150
    μ2, 51=120
    μ1, 51=100
    g41=93.5 λ4, 31=0.30, λ4, 21=0.35
    λ4, 11=0.40
    g31=87 λ3, 21=0.50, λ3, 11=0.65
    g21=81 λ2, 11=0.85
    g11=0
    2 g22=100 λ2, 12=0.145 μ1, 22=100
    g12=0
    3 g43=25 λ4, 33=0.105, λ4, 23=0.15
    λ4, 13=0.20
    μ3, 43=200
    μ2, 43=150
    μ1, 43=100
    g33=21.75 λ3, 23=0.30, λ3, 13=0.40
    g23=20.25 λ2, 13=0.50
    g13=0
    4 g43=25 λ4, 34=0.115, λ4, 24=0.15
    λ4, 14=0.20
    μ3, 44=200
    μ2, 44=150
    μ1, 44=100
    g33=21.75 λ3, 24=0.30, λ3, 14=0.40
    g23=20.25 λ2, 14=0.50
    g13=0
    5 g43=25 λ4, 35=0.125, λ4, 25=0.15
    λ4, 15=0.20
    μ3, 45=200
    μ2, 45=150
    μ1, 45=100
    g33=21.75 λ3, 25=0.30, λ3, 15=0.40
    g23=20.25 λ2, 15=0.50
    g13=0
    6 g43=25 λ4, 36=0.135, λ4, 26=0.15
    λ4, 16=0.20
    μ3, 46=200
    μ2, 46=150
    μ1, 46=100
    g33=21.75 λ3, 26=0.30, λ3, 16=0.40
    g23=20.25 λ2, 16=0.50
    g13=0
    7 g27=100 λ2, 17=0.165 μ1, 27=100
    g17=0
    下载: 导出CSV
  • [1] 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, 2010:88-90.

    REN S H.Research on methods of performance reliability assessments and life on wing prediction for civil aero engine[D].Nanjing:Nanjing University of Aeronautics and Astronautics, 2010:88-90(in Chinese).
    [2] 程志君, 杨征, 谭林.基于机会策略的复杂系统视情维修决策模型[J].机械工程学报, 2012, 48(6):168-174. doi: 10.3901/JME.2012.06.168

    CHENG Z J, YANG Z, TAN L.Condition-based maintenance model of deteriorating complex system based on opportunistic policy[J].Chinese Journal of Mechanical Engineering, 2012, 48(6):168-174(in Chinese). doi: 10.3901/JME.2012.06.168
    [3] 蔡景, 左洪福, 王华伟.多部件系统的预防性维修优化模型研究[J].系统工程理论与实践, 2007, 27(2):133-138. http://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200702017.htm

    CAI J, ZUO H F, WANG H W.A study on preventive maintenance optimization model for multi-unit system[J].Systems Engineering-Theory & Practice, 2007, 27(2):133-138(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-XTLL200702017.htm
    [4] LEVITIN G, LISNIANSKI A.Joint redundancy and maintenance optimization for multistate series-parallel systems[J].Reliability Engineering & System Safety, 1999, 64(1):33-42. https://www.researchgate.net/publication/223323503_Joint_redundancy_and_maintenance_optimization_for_multistate_series-parallel_systems
    [5] 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, 2011:69-79.

    LIU Y.Multi-state complex system reliability modeling and maintenance decision[D].Chengdu:University of Electronic Science and Technology of China, 2011:69-79(in Chinese).
    [6] 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. http://www.cnki.com.cn/Article/CJFDTOTAL-XTLL201205027.htm

    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). http://www.cnki.com.cn/Article/CJFDTOTAL-XTLL201205027.htm
    [7] 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. http://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201406015.htm

    HUANG A L, LI Q M, LI T B, et al.Optimization of periodic preventive maintenance policies for deteriorating repairable system[J].Systems Engineering and Electronics, 2014, 36(6):1103-1107(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-XTYD201406015.htm
    [8] 孙志礼, 王健, 印明昂, 等.可修系统预防性维修时间的确定[J].东北大学学报(自然科学版), 2014, 35(1):84-87. http://www.cnki.com.cn/Article/CJFDTOTAL-DBDX201401020.htm

    SUN Z L, WANG J, YIN M A, et al.Determination about preventive maintenance time of the repairable system[J].Journal of Northeastern University (Natural Science), 2014, 35(1):84-87(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-DBDX201401020.htm
    [9] 狄鹏, 黎放, 杨元.基于机会维修策略的预防性维修优化模型研究[J].工程设计学报, 2012, 19(4):263-267. http://www.cnki.com.cn/Article/CJFDTOTAL-GCSJ201204006.htm

    DI P, LI F, YANG Y.Optimal preventive maintenance model based on opportunistic maintenance policy[J].Chinese Journal of Engineering Design, 2012, 19(4):263-267(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-GCSJ201204006.htm
    [10] ZHOU Y, ZHANG Z, LIN T R, et al.Maintenance optimisation of a multi-state series-parallel system considering economic dependence and state-dependent inspection intervals[J].Reliability Engineering & System Safety, 2013, 111:248-259. https://www.researchgate.net/publication/257392217_Maintenance_optimisation_of_a_multi-state_series-parallel_system_considering_economic_dependence_and_state-dependent_inspection_intervals
    [11] CUONG D D, MING J Z, MAYANK P.Selective maintenance for multi-state series-parallel systems under economic dependence[J].Reliability Engineering & System Safety, 2014, 121:240-249. https://www.researchgate.net/publication/270814730_Selective_maintenance_for_multi-state_series-parallel_systems_under_economic_dependence
    [12] 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. http://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201308012.htm

    GE X K, HU J B, ZHANG B F.Simulation modeling for condition based maintenance optimization of multi-component systems with system with dependencies[J].Acta Aeronautica et Astronautica Sinica, 2013, 34(8):1854-1863(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201308012.htm
    [13] 张卓琦, 吴甦, 李斌锋.考虑故障相关的两部件系统机会维修策略[J].清华大学学报(自然科学版), 2012, 52(1):122-127. http://www.cnki.com.cn/Article/CJFDTOTAL-QHXB201201025.htm

    ZhANG Z Q, WU S, LI B F.Opportunistic maintenance policy for a two-unit system with failure interactions[J].Journal of Tsinghua University (Science and Technology), 2012, 52(1):122-127(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-QHXB201201025.htm
    [14] 赵洪山, 鄢盛腾, 张小田.风电机组确定性机会更换维修策略的研究[J].太阳能学报, 2014, 35(4):568-575. http://www.cnki.com.cn/Article/CJFDTOTAL-TYLX201404003.htm

    ZHAO H S, YAN S T, ZHANG X T.Deterministic opportunistic replacement maintenance strategy for wind turbine[J].Acta Energiae Solaris Sinica, 2014, 35(4):568-575(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-TYLX201404003.htm
    [15] 赵洪山, 张健平, 高夺, 等.风电机组的状态-机会维修策略[J].中国电机工程学报, 2015, 35(15):3851-3858. http://cdmd.cnki.com.cn/Article/CDMD-10079-1015649735.htm

    ZHAO H S, ZHANG J P, GAO D, et al.A condition based opportunistic maintenance strategy for wind turbine[J].Proceedings of the CSEE, 2015, 35(15):3851-3858(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10079-1015649735.htm
    [16] LIANIANSKI A, LEVITIN G.Multi-state system reliability:Assessment, optimization and applications[M].Toh Tuck Link:World Scientific, 2003:92-94.
    [17] LIANIANSKI A, FRENKEL I, DING Y.Multi-state system reliability analysis and optimization for engineers and industrial managers[M].London:Springer, 2010:40-45.
    [18] 潘刚, 尚朝轩, 梁玉英, 等.考虑认知不确定的雷达功率放大系统可靠性评估[J].北京航空航天大学学报, 2016, 42(6):1185-1194. http://bhxb.buaa.edu.cn/CN/abstract/abstract13971.shtml

    PAN G, SHANG C X, LIANG Y Y, et al.Reliability evaluation of radar power amplification system considering epistemic uncertainty[J].Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(6):1185-1194(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13971.shtml
    [19] 章恩泽, 陈庆伟.不确定可靠性优化问题的多目标粒子群优化算法[J].控制与决策, 2015, 30(9):1701-1705. http://www.cnki.com.cn/Article/CJFDTOTAL-KZYC201509027.htm

    ZHANG E Z, CHEN Q W.Multi-objective particle swarm optimization for uncertain reliability optimization problems[J].Control and Decision, 2015, 30(9):1701-1705(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-KZYC201509027.htm
    [20] 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, 2010:92-114.LI C Y.

    Research on reliability analysis and optimization based on the multi-state system theory[D].Changsha:National University of Defense Technology, 2010:92-114(in Chinese).
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出版历程
  • 收稿日期:  2016-03-02
  • 录用日期:  2016-07-01
  • 网络出版日期:  2017-02-20

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