基于维修-储供相依网络的舰船装备保障体系抗毁性分析

doi:10.12305/j.issn.1001-506X.2025.09.19

摘要/Abstract

摘要：

为准确描述舰船装备保障体系结构特征并分析其功能与抗毁性，构建基于维修网络和储供网络的相依网络模型。结合舰船维修保障需求，归纳出6种典型的保障样式，并采用任务连通子图描述每种保障样式在相依网络中的结构特征。在此基础上，提出基于混合分配策略的级联失效模型与考虑节点承载保障任务重要性差异的节点重要度评估指标，并提出将剩余任务连通子图比例作为网络抗毁性的评估指标。仿真结果表明，任务重要度指标能准确识别网络中的重要节点。与传统抗毁性指标相比，剩余任务连通子图比例对因节点失效导致的舰船装备保障体系抗毁性变化敏感度更高。

关键词: 舰船装备保障体系, 抗毁性, 相依网络, 任务连通子图

Abstract:

In order to accurately describe the structural characteristics of the warship equipment support system-of-systems and analyze its functions and invulnerability, a inter dependent network model is constructed based on the maintenance network and storage and supply network. In conjunction with the maintenance support requirements of warship, six typical support patterns are summarized, and the structural characteristics of these support patterns in the inter dependent network are described by the task-connected subgraph. On this basis, a cascading failure model based on hybrid allocation strategy and a node importance evaluation indexes considering the importance difference of node bearing support tasks are proposed, and the proportion of remaining task-connected subgraphs is used as an evaluation index of network invulnerability. The simulation results show that the task importance indexes can accurately identify important nodes in network. Compared with traditional invulnerability indexes, the proportion of the remaining task-connected subgraph has higher sensitivity to the invulnerability change of the warship equipment support system-of-systems caused by node failure.

Key words: warship equipment support system-of-systems, invulnerability, interdependent network, task-connected subgraph

中图分类号:

E 92

狄鹏, 宫禹, 文昊林. 基于维修-储供相依网络的舰船装备保障体系抗毁性分析[J]. 系统工程与电子技术, 2025, 47(9): 2985-2992.

Peng DI, Yu GONG, Haolin WEN. Invulnerability analysis of warship equipment support system-of-systems based on maintenance storage and supply interdependent network[J]. Systems Engineering and Electronics, 2025, 47(9): 2985-2992.

图/表 8

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参考文献 24

1	孙光甦, 原宗, 关静. 舰船综合保障体系综述[J]. 中国舰船研究, 2020, 15 (1): 89- 94.
	SUN G S, YUAN Z, GUAN J, et al. A review of integrated logistics support systems for ships[J]. Chinese Journal of Ship Research, 2020, 15 (1): 89- 94.
2	杨春辉, 张烁炜, 胡涛. 基于系统动力学的舰船装备维修保障体系演化仿真分析[J]. 中国舰船研究, 2021, 16 (3): 86- 95.
	YANG C H, ZHANG S W, HU T. Simulation analysis of warship equipment maintenance and support system evolution based on system dynamic[J]. Chinese Journal of Ship Research, 2021, 16 (3): 86- 95.
3	DUI H Y , CHEN S S , WANG J. Failure-oriented maintenance analysis of nodes and edges in network systems[J]. Reliability Engineering & System Safety, 2021, 215 (3): 107894.
4	ALERASOUL S A, AFELTRA G, HAKALA H, et al. Organizational learning, learning organization, and learning orientation: an integrative review and framework[J]. Human Resource Management Review, 2022, 32 (3): 100- 854.
5	XU T X , CHEN Y Q, LU C , et al. Importance measure of equipment task based on operational dependency of SoS[J]. IEEE Access, 2021, 9, 15452- 15466.
6	王哲, 李建华, 康东. 网络信息体系双层异质相依网络模型鲁棒性[J]. 系统工程与电子技术, 2021, 43 (4): 961- 969.
	WANG Z, LI J H, KANG D. Robustness of a two-layer heterogeneous interdependent network model for networked in formation systems[J]. Systems Engineering and Electronics, 2021, 43 (4): 961- 969.
7	刘文开, 王晖, 马雅丽, 等. 装备保障体系AODA环运行概念模型[J]. 火力与指挥控制, 2022, 47 (1): 162- 166.
	LIU W K, WANG H, MA Y L, et al. Operational conceptual model of AODA loop for equipment support system[J]. Fire Control & Command Control, 2022, 47 (1): 162- 166.
8	BAI G H, LI Y J, FANG Y N, et al. Network approach for resilience evaluation of a UAV swarm by considering communication limits[J]. Reliability Engineering & System Safety, 2020, (193): 106602.
9	岳地久, 李建华, 张杰勇, 等. 一种非对称相依指控网络负载级联失效模型[J]. 现代防御技术, 2024, 52 (6): 61- 71.
	YUE D J, LI J H, ZHANG J Y, et al. A load cascading failure model for asymmetric dependent command and control networks[J]. Modern Defence Technology, 2024, 52 (6): 61- 71.
10	朱林, 方胜良, 王劲松, 等. 面向体系作战的空间通信网络级联失效模型[J]. 系统仿真学报, 2018, 30 (6): 2144- 2152.
	ZHU L, FANG S L, WANG J S, et al. A cascade failure model of space communication networks for system operations[J]. Journal of System Simulation, 2018, 30 (6): 2144- 2152.
11	SMOLYAK A, LEVY O, VODENSKA I, et al. Mitigation of cascading failures in complex networks[J]. Scientific Reports, 2020, 10 (1): 124- 136.
12	TANG L R, YANG Y, FAN B, et al. Mitigation strategies with feedback against cascading failures[J]. The European Physical Journal B, 2018, 91, 288.
13	FU X W, YANG Y S. Analysis on invulnerability of wireless sensor networks based on cellular automata[J]. Reliability Engineering & System Safety, 2021, 212, 107616.
14	姜浩博, 李松, 林驰, 等. 基于 BP 神经网络防空反导指控网络抗毁性评估[J]. 火力与指挥控制, 2019, 44 (8): 65- 70.
	JIANG H B, LI S, LIN C, et al. BP neural network-based air defense and anti-missile accusation network destructive resistance assessment[J]. Fire Control & Command Control, 2019, 44 (8): 65- 70.
15	李尔玉, 龚建兴, 黄健. 基于功能链的融合网络功能抗毁性评估[J]. 兵工学报, 2019, 40 (7): 1450- 1459.
	LI E Y, GONG J X, HUANG J. Functional chain-based assessment of functional destructibility of fusion networks[J]. Acta Armamentarii, 2019, 40 (7): 1450- 1459.
16	ZHANG L, WEN H Y, LU J, et al. Vulnerability assessment and visualization of large-scale bus transit network under route service disruption[J]. Transportation Research Part D, 2020, 88, 102570.
17	KEATING C, ROGERS R, UNAL R, et a1. System of systems engineering[J]. Engineering Management Journal, 2003, 15 (3): 36- 45.
18	岳地久, 李建华, 王哲, 等. 指控-通信相依网络建模及其结构弹性度量研究[J]. 火力与指挥控制, 2023, 48 (9): 68- 76.
	YUE D J, LI J H, WANG Z, et al. Research on modeling of command and control-communication interdependent network and its structural resilience measurement[J]. Fire Control & Command Control, 2023, 48 (9): 68- 76.
19	张强, 宋太亮, 曹军海, 等. 考虑节点相依关系的装备保障网络演化模型[J]. 兵工学报, 2019, 40 (9): 1918- 1927.
	ZHANG Q, SONG T L, CAO J H, et al. An evolutionary model of equipment support network considering node interdependence[J]. Acta Armamentarii, 2019, 40 (9): 1918- 1927.
20	赵丹玲, 谭跃进, 李际超, 等. 基于异质网络的武器装备体系结构抗毁性研究[J]. 系统工程理论与实践, 2019, 39 (12): 3197- 3207.
	ZHAO D L, TAN Y J, LI J C, et al. Research on the destructive resistance of weapon and equipment system based on heterogeneous networks[J]. Systems Engineering Theory and Practice, 2019, 39 (12): 3197- 3207.
21	邢彪, 曹军海, 宋太亮, 等. 基于节点免疫策略的装备保障网络级联失效模型[J]. 计算机应用研究, 2018, 35 (1): 35- 38.
	XING B, CAO J H, SONG T L, et al. Cascading failure model of equipment assurance network based on node immunity strategy[J]. Application Research of Computers, 2018, 35 (1): 35- 38.
22	张强, 曹军海, 宋太亮, 等. 装备保障网络中考虑负载再分配的级联失效分析[J]. 兵器装备工程学报, 2021, 42 (6): 86- 90.
	ZHANG Q, CAO J H, SONG T L, et al. Cascading failure analysis considering load redistribution in equipment support network[J]. Journal of Ordnance Equipment Engineering, 2021, 42 (6): 86- 90.
23	郝羽成, 李成兵, 魏磊. 考虑节点过载的复杂网络级联失效模型[J]. 系统工程与电子技术, 2018, 40 (10): 2282- 2287.
	HAO Y C, LI C B, WEI L. Cascading failure model of complex networks considering overloaded nodes[J]. Systems Engineering and Electronics, 2018, 40 (10): 2282- 2287.
24	吴俊, 谭索怡, 谭跃进, 等. 基于自然连通度的复杂网络抗毁性分析[J]. 复杂系统与复杂性科学, 2014, 11 (1): 77- 86.
	WU J, TAN S Y, TAN Y J, et al. Analysis of invulnerability of complex networks based on natural connectivity[J]. Complex Systems and Complexity Science, 2014, 11 (1): 77- 86.

节点关联	含义
P/D→ H	维修节点为舰船节点实施维修保障
S→ P/D	支援节点为维修节点提供技术支持
P/D—P/D	维修节点间进行维修能力共享
Z→ P/D	区域储供节点为维修节点提供器材储供保障
C→P/D	中心储供节点为维修节点提供越级器材储供保障
C→Z	中心储供节点向区域储供节点补充器材

连接关系	连接概率	连接关系	连接概率
P→ H	0.3	R→ P/D	0.1
D→ H	0.1	C→P/D	0.3
S→ P/D	0.3	C→R	0.1
P/D—P/D	0.1	—	—

[1]	杨华果, 陈全, 杨磊, 尹政龙, 赵勇. 低轨巨型星座网络抗毁性研究进展与展望[J]. 系统工程与电子技术, 2025, 47(6): 2025-2035.
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[3]	王哲, 李建华, 康东. 网络信息体系双层异质相依网络模型鲁棒性[J]. 系统工程与电子技术, 2021, 43(4): 961-969.
[4]	王超, 郭基联, 沈安慰. 基于不对称依赖的相依网络级联故障分析[J]. 系统工程与电子技术, 2020, 42(5): 1093-1101.
[5]	王珂, 田来, 吴俊. 基于区域毁伤的基础设施网络抗毁性评估模型[J]. 系统工程与电子技术, 2020, 42(5): 1102-1108.
[6]	刘同林, 杨芷柔, 张虎, 滕祥意, 刘静. 基于复杂网络的军事通信网络建模与性能分析[J]. 系统工程与电子技术, 2020, 42(12): 2892-2898.
[7]	郝羽成, 李成兵, 魏磊. 考虑节点过载的复杂网络级联失效模型[J]. 系统工程与电子技术, 2018, 40(10): 2282-2287.
[8]	王宏宇, 吴纬, 魏艳艳. 基于超网络模型武器装备体系抗毁性分析[J]. 系统工程与电子技术, 2017, 39(8): 1782-1787.
[9]	马龙邦, 郭平, 赵娟. 基于节点防护能力的指挥控制系统网络抗毁性分析方法[J]. 系统工程与电子技术, 2017, 39(7): 1524-1531.
[10]	崔文岩, 孟相如, 康巧燕, 李纪真. 基于复合边权重的加权复杂网络级联抗毁性优化[J]. 系统工程与电子技术, 2017, 39(2): 355-361.
[11]	王竣德, 老松杨, 阮逸润, 侯绿林, 白亮. 基于节点负载容忍度的相依网络鲁棒性研究[J]. 系统工程与电子技术, 2017, 39(11): 2477-2483.
[12]	易侃，王珩，毛少杰，张金锋. 基于信息流的网络化C4ISR系统结构抗毁性分析方法[J]. 系统工程与电子技术, 2014, 36(8): 1544-1550.
[13]	彭兴钊, 姚宏, 肖明清, 杜军, 丁超, 李浩敏. 加权网络的级联故障建模及其抗毁性分析[J]. 系统工程与电子技术, 2014, 36(6): 1096-1102.
[14]	彭兴钊, 姚宏, 丁超, 张志浩. 变聚类系数加权网络的建模及其级联抗毁性分析[J]. 系统工程与电子技术, 2014, 36(12): 2449-2455.
[15]	彭兴钊，姚宏，张志浩，杜军. 基于节点蓄意攻击的无标度网络#br# 级联抗毁性研究[J]. 系统工程与电子技术, 2013, 35(9): 1974-1978.