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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
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出版历程
  • 收稿日期:  2016-03-02
  • 录用日期:  2016-07-01
  • 刊出日期:  2017-02-20

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