考虑退化相关的装备多部件系统维修决策优化模型

doi:10.12305/j.issn.1001-506X.2022.04.42

摘要/Abstract

摘要：

针对装备多部件系统维修决策优化问题, 考虑分析系统中多部件之间的退化相关性, 将系统连续退化过程离散化为有限个状态空间, 计算给出系统稳态概率分布。在此基础上，建立长期运行下系统可用度最大为目标的维修决策优化模型, 采用改进人工蜂群算法进行求解, 以获得各部件最优机会维修阈值、预防性维修阈值和系统最优检测间隔期。最后, 通过算例验证了所提模型的可行性和有效性。

关键词: 退化相关, 多部件系统, 可用度

Abstract:

Aiming at the maintenance decision optimization of equipment multi-component systems, the degradation dependence between the components is analyzed and the continuous degradation process of the system is discretized into a finite state space, and the steady-state probability distribution function of the system is calculated. Based on this, a maintenance decision optimization model is established to maximize the system availability in long-term operation, the improved artificial bee colony algorithm is utilized to determine the opportunistic and preventive maintenance thresholds of the system and the optimal inspection period. Finally, an example is provided to verify the feasibility and effectiveness of the proposed model.

Key words: degradation dependence, multi-component system, availability

中图分类号:

TB114

马维宁, 胡起伟, 杨志远. 考虑退化相关的装备多部件系统维修决策优化模型[J]. 系统工程与电子技术, 2022, 44(4): 1424-1432.

Weining MA, Qiwei HU, Zhiyuan YANG. Maintenance decision model of equipment multi-component systems with degradation dependence[J]. Systems Engineering and Electronics, 2022, 44(4): 1424-1432.

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T_r	(G^, O^, λ₁^, λ₂^)	TA_∞^*
0.1	(2, 2.5, 2, 1.2, 1.5, 1.2, 3.87, 0.85)	0.926 2
0.2	(1.2, 4, 1.2, 0.8, 2, 0.8, 10, 0.2)	0.920 3
0.3	(1.2, 0.8, 1.2, 0, 0.5, 0, 10, 0.39)	0.918 5
0.4	(2, 0.5, 2, 0, 0.5, 0, 10, 1.27)	0.911 9
0.5	(2.4, 3.5, 2.4, 0.4, 0.5, 0.4, 10, 0.59)	0.907 8
0.6	(2.8, 3.5, 2.8, 0, 0.5, 0, 10, 0.23)	0.903 6

θ	(G^, O^, λ₁^, λ₂^)	TA_∞^*
0.5	(1.2, 1.5, 1.2, 1.2, 1.5, 1.2, 3.93, 0.87)	0.925 8
1	(1.6, 2, 1.6, 1.2, 1.5, 1.2, 3.96, 0.55)	0.925 9
3	(2, 2, 2, 1.2, 1.6, 1.5, 1.6, 3.84, 0.89)	0.926 1
5	(2, 2.5, 2, 1.2, 1.6, 1.5, 1.6, 3.87, 0.85)	0.926 4
7	(1.2, 1, 1.2, 1.2, 1, 1.2, 3.84, 0.44)	0.926 5
9	(1.2, 0.5, 1.2, 1.2, 0.5, 1.2, 3.93, 1.10)	0.926 7

K_i	(G^, O^, λ₁^, λ₂^)	TA_∞^*
5	(3.2, 4, 3.2, 1.6, 2.5, 1.6, 9.27, 1.01)	0.990 1
6	(1.6, 4.5, 1.6, 0.8, 4, 0.8, 10, 1.01)	0.934 4
7	(1.6, 2, 1.6, 0.8, 1, 0.8, 3.89, 0.44)	0.928 0
8	(2, 2.5, 2, 0.8, 1.5, 0.8, 3.94, 0.48)	0.927 3
9	(2.4, 2.5, 2.4, 0.8, 1.5, 0.8, 3.79, 0.40)	0.926 5
10	(2.4, 2.5, 2.4, 0.8, 1, 0.8, 3.79, 0.40)	0.926 1

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