Condition-based change decision for multi-state system based on opportunistic policy
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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。
Abstract:A condition-based change and maintenance decision method based on opportunistic policy was proposed for multi-state system with economic correlation and performance correlation among components. Markov model was utilized to characterize the degradation process of components and the universal generating function was used to analyze the reliability indicator of system. Based upon opportunistic policy and from the perspective of "component change", a new condition-based change and maintenance decision method is proposed to ensure the maximum economic benefit within the system's limited service period. The change and maintenance decision for a radar power amplifying system is analyzed. The results indicate that the total maintenance frequency is reduced to a certain extent in consideration of the economic correlation of components. And the proposed method enables an enhancement on the battlefield support capacity of equipment system, and shows strong versatility and engineering application value.
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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 
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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=0.25μ4, 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=0.20μ3, 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=0.20μ3, 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=0.20μ3, 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=0.20μ3, 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
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