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摘要: 由于复杂装备系统缺少可工程应用的弹性度量方法, 且传统可靠性工程难以描述装备从故障到修复全过程的性质, 因此考虑装备系统在工作过程中性能变化的连续性以及扰动、故障和修复的不确定性, 利用可靠性工程相关参数, 针对无子系统的简单装备提出一种混合型弹性度量方法. 在此基础上, 考虑子系统对复杂系统的影响, 以及复杂系统故障和修复概率, 提出一种针对复杂装备系统的弹性度量方法. 最后, 通过基于弹性理论的组件重要度计算案例, 评估复杂装备系统各个子系统性能变化对整个装备的影响重要程度, 验证了方法的可行性和有效性.Abstract: Because of the engineering resilience theory has few applicable measurement formulas for equipment systems, and because of the traditional reliability engineering is difficult to describe the whole process of equipment from fault to repair, considering the continuity of performance change and the uncertainty of disturbance, fault occurrence and repair in the working process of the equipment system, a hybrid resilience measurement method is proposed for the simple equipment without subsystems by using the parameters of reliability engineering. On this basis, considering the influence of subsystems on complex systems and the possibility of complex system failure and repair, a resilience measurement method for complex equipment systems is proposed. Finally, a component importance calculation method based on resilience theory is presented to evaluate the influence of the performance change of each subsystem overall complex equipment system, and the effectiveness of the method is verified by simulation.
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Key words:
- Resilience /
- reliability engineering /
- complex system /
- component importance
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图 6 含有7个子系统的复杂传输系统网络拓扑结构
Fig. 6 Network topology of complex transport system with 7 subsystems
图 10 含有12个子系统的复杂传输系统网络拓扑结构
Fig. 10 Network topology of complex transport system with 12 subsystems
表 1 复杂系统可靠性参数
Table 1 Reliability parameters complex system
序号 PF (%) PR (%) MTTR (h) MTBF (h) 1 2 70 2.0 8.0 2 2 80 3.0 7.0 3 3 80 2.5 7.5 4 5 70 2.0 8.0 5 3 75 2.5 7.5 6 2 85 3.5 6.5 7 3 80 3.0 7.0 8 4 75 2.5 7.5 9 2 80 2.0 8.0 10 4 85 3.0 7.0 11 3 75 2.5 7.5 12 1 65 2.0 8.0 
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表 2 故障和修复子系统集合(部分)
Table 2 The sets of failed and repaired subsystems (portion)
X Y $\emptyset $ $\emptyset $ [1] $\emptyset $, [1] [1, 2] $\emptyset $, [1], [2], [1, 2] [1, 2, 3] $\emptyset $, [1], [2], [3], [1, 2], [1, 3], [2, 3], [1, 2, 3] [1, 2, 3, 4] $\emptyset $, [1], [2], [3], [4], [1, 2], [1, 3], [1, 4],
[2, 3], [2, 4], [3, 4], [1, 2, 3], [1, 2, 4],
[1, 3, 4], [2, 3, 4], [1, 2, 3, 4]${\bf{\vdots } }$ ${\bf{\vdots} }$
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表 3 归一化的子系统重要度
Table 3 The normalized importance of subsystems
序号 RF CIR 1 0.0188 0.9881 2 0.0137 0.9953 3 0.0189 0.9880 4 0.0238 0.9809 5 0.0239 0.9808 6 0.0188 0.9881 7 0.0172 0.9904 8 0.0188 0.9881 9 0.0188 0.9881 10 0.0104 1.0000 11 0.0223 0.9831 12 0.0137 0.9953
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