Acta Armamentarii ›› 2025, Vol. 46 ›› Issue (5): 240604-.doi: 10.12382/bgxb.2024.0604
Special Issue: 蓝色智慧·兵器科学与技术
Previous Articles Next Articles
SHI Yuedong, QIAN Chao, SHAO Songshi, HU Junbo*()
Received:
2024-07-22
Online:
2025-05-07
Contact:
HU Junbo
CLC Number:
SHI Yuedong, QIAN Chao, SHAO Songshi, HU Junbo. Importance Analysis for Multi-state Complex System Reliability Based on Improved Generating Function[J]. Acta Armamentarii, 2025, 46(5): 240604-.
Add to citation manager EndNote|Ris|BibTeX
状态h | 单元i | |||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 0.6 | 0.6 | 0.8 | 0.85 | 1 | 1 |
3 | 0.9 | 0.9 | 1 |
Table 1 Multi-state performance gih of built-in units
状态h | 单元i | |||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 0.6 | 0.6 | 0.8 | 0.85 | 1 | 1 |
3 | 0.9 | 0.9 | 1 |
状态 | 单元i | ||||||
---|---|---|---|---|---|---|---|
m | j | 1 | 2 | 3 | 4 | 5 | 6 |
1 | 2 | 60 | 60 | 50 | 10 | 10 | 10 |
2 | 3 | 30 | 30 | 20 | |||
3 | 2 | 4 | 4 | 3 | |||
2 | 1 | 12 | 12 | 10 | 2 | 1.2 | 1.2 |
Table 2 State transition strength ζ m j i of built-in units year-1
状态 | 单元i | ||||||
---|---|---|---|---|---|---|---|
m | j | 1 | 2 | 3 | 4 | 5 | 6 |
1 | 2 | 60 | 60 | 50 | 10 | 10 | 10 |
2 | 3 | 30 | 30 | 20 | |||
3 | 2 | 4 | 4 | 3 | |||
2 | 1 | 12 | 12 | 10 | 2 | 1.2 | 1.2 |
状态 h | 单元i | |||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 0.0205 | 0.0205 | 0.0197 | 0.2153 | 0.0722 | 0.0722 |
2 | 0.1079 | 0.1079 | 0.1089 | 0.7847 | 0.9278 | 0.9278 |
3 | 0.8716 | 0.8716 | 0.8714 |
Table 3 Steady-state probability distribution Pih of built-in units
状态 h | 单元i | |||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
1 | 0.0205 | 0.0205 | 0.0197 | 0.2153 | 0.0722 | 0.0722 |
2 | 0.1079 | 0.1079 | 0.1089 | 0.7847 | 0.9278 | 0.9278 |
3 | 0.8716 | 0.8716 | 0.8714 |
i | ki | j | kj | 逻辑构型函数ψij(·) | 备注 |
---|---|---|---|---|---|
1 | 3 | 2 | 3 | max(gin, gjm) | n=1,2,…,ki |
3 | 3 | 5 | 2 | min(gin, gjm) | m=1,2,…,kj |
4 | 2 | 6 | 2 | min(gin, gjm) |
Table 4 Logical configuration function between different built-in units
i | ki | j | kj | 逻辑构型函数ψij(·) | 备注 |
---|---|---|---|---|---|
1 | 3 | 2 | 3 | max(gin, gjm) | n=1,2,…,ki |
3 | 3 | 5 | 2 | min(gin, gjm) | m=1,2,…,kj |
4 | 2 | 6 | 2 | min(gin, gjm) |
[1] |
|
[2] |
史跃东, 徐一帆, 金家善. 装备复杂系统多状态可靠性分析与评估技术[M]. 北京: 科学出版社, 2017.
|
|
|
[3] |
|
[4] |
|
[5] |
|
[6] |
|
[7] |
|
[8] |
何爱民, 赵先, 崔利荣, 等. 线形可重叠的m-consecutive-k-out-of-n:F系统可靠性和单元重要度研究[J]. 兵工学报, 2009, 30(增刊): 135-138.
|
|
|
[9] |
吕弘, 袁海文, 张莉, 等. 基于模式重要度的航空电源系统可靠性估计[J]. 航空学报, 2010, 31(3):609-613.
|
|
|
[10] |
白光晗, 张弛, 兑红炎, 等. 无人机集群任务可靠性建模及重要度分析[J]. 机械工程学报, 2022, 58(10):361-373.
doi: 10.3901/JME.2022.10.361 |
doi: 10.3901/JME.2022.10.361 |
|
[11] |
|
[12] |
王成, 许建新, 张振明, 等. 基于成本效益重要度的复杂系统可靠性保障策略[J]. 西北工业大学学报, 2020, 38(6):1316-1321.
|
|
|
[13] |
|
[14] |
|
[15] |
史跃东, 徐一帆, 金家善. 基于逻辑报酬矩阵的多状态系统可靠性评估[J]. 系统工程理论与实践, 2019, 39(5):1315-1325.
|
|
|
[16] |
史跃东, 金家善, 徐一帆. 半马尔可夫跃迁历程下装备复杂系统多状态可靠性分析与评估[J]. 系统工程与电子技术, 2019, 41(2):445-453.
|
|
|
[17] |
史跃东, 金家善, 柴凯. 大型复杂系统可靠性快速评估算法[J]. 系统工程与电子技术, 2022, 44(10):3282-3290.
doi: 10.12305/j.issn.1001-506X.2022.10.35 |
|
|
[18] |
陈童, 胡斌, 狄鹏. 舰船发电系统多状态可靠性马尔可夫报酬模型[J]. 兵工学报, 2023, 44(10):3177-3186.
doi: 10.12382/bgxb.2022.0558 |
|
|
[19] |
|
[20] |
|
[21] |
|
[22] |
|
[23] |
|
[24] |
|
[25] |
|
[26] |
田宏, 陈宝智, 五穹, 等. 多态系统可靠性及元素的不确定性重要度[J]. 东北大学学报(自然科学版), 2000, 21(6):634-638.
|
|
|
[27] |
|
[1] | ZENG Zhaoyang, PENG Wensheng, LI Yunkai, XU Ming. Connotation,Development and Challenges of Reliability Technology of Intelligent UAV Swarm [J]. Acta Armamentarii, 2025, 46(3): 240322-. |
[2] | ZHA Congyi, SUN Zhili, LIU Qin, DONG Pengfei. Reliability Analysisfor Anti-oil Hammer of Hydraulic Pipe Based on Kriging Model [J]. Acta Armamentarii, 2024, 45(12): 4364-4371. |
[3] | ZHOU Jinyu, WANG Xinyuan, CHENG Jinxiang, WANG Lin. Reliability-based Optimization of Selective Laser Melting Process Parameters for Co-Cr Alloy [J]. Acta Armamentarii, 2024, 45(12): 4530-4538. |
[4] | ZHOU Hao, GU Tongguang, YUAN Dawei, LIU Keyan, LI Pengchao, JIA Luyang, WANG Yongjuan. Changes in the Characteristic Parameters of a Small-caliber Rifle in Fugitive Dust Life Test [J]. Acta Armamentarii, 2024, 45(10): 3732-3743. |
[5] | LI Hao, LI Haojie, YUAN Hongwei, YUE Zhonghao, MA Haitao. Influence of Distributed Capacitance on Information Transmission Characteristics of Collinear Setting System of Fuze and Its Optimization [J]. Acta Armamentarii, 2024, 45(1): 319-327. |
[6] | ZHAI Wenyu, QIAN Linfang, CHEN Guangsong. The Kinematic Accuracy Reliability and Reliability Sensitivity Analysis of a Swing Mechanism with the Automatic Loading System of a Cannon [J]. Acta Armamentarii, 2023, 44(4): 1062-1070. |
[7] | CHEN Tong, HU Bin, DI Peng. Multi-state System Reliability Analysis for Ship Power Generation System Based on Markov Reward Model [J]. Acta Armamentarii, 2023, 44(10): 3177-3186. |
[8] | GAO Zhao, WANG Yaqiong, ZENG Junjie, REN Shubo, ZHANG Lei, GAO Zihe, TAO Ying. Design of Distributed Destruction-Resistant Routing Algorithm for Space-Based Self-Organizing Network [J]. Acta Armamentarii, 2022, 43(S2): 126-132. |
[9] | LIU Qin, JI Guangzhen, CAO Pulin, LI Juan, LIU Ying. Reliability Design and Analysis Methodfor Complex Mechanical System Based on Physics of Failure [J]. Acta Armamentarii, 2022, 43(S1): 189-195. |
[10] | ZHAO Jian, ZHANG Liang, LI Aoran, FENG Yu, ZHANG Yu, LIU Rui, LI Yi, LI Xinyong, ZHU Zhenlei. Reliability Index Distribution of Armored Equipment Based on System Engineering Method [J]. Acta Armamentarii, 2022, 43(S1): 196-202. |
[11] | LIU Lin, GONG Chen, LI Mengmeng, WANG Ran. RMSST Design Based on Virtual Reality [J]. Acta Armamentarii, 2022, 43(S1): 208-213. |
[12] | SUN Chenfeng, L Weimin, CONG Linhu, XU Pengbo. Reliability Modelling of Hybrid Redundancy System Based on Generalized Stochastic Petri Nets [J]. Acta Armamentarii, 2022, 43(8): 2007-2016. |
[13] | LI Jingkui, LIN Wenjie, JIANG Xiuhong, LU Yuze. Reliability Analysis of Aircraft Fuel Closed-loop Control System Based on GO Methodology and Markov Process [J]. Acta Armamentarii, 2022, 43(6): 1447-1455. |
[14] | DING Li, GU Jiahui, ZHOU Jinyu, KANG Shaopeng, CHEN Yifei, LI Ziyi. Kinematic Reliability Analysis for Redundant Robots Based on Envelope Method [J]. Acta Armamentarii, 2022, 43(6): 1426-1434. |
[15] | JI Ming, BU Junjun, MA Cong. Maximum Entropy Test Method for Evaluating the Output Reliability of Space Actuators [J]. Acta Armamentarii, 2022, 43(4): 919-923. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||