基于DSM与信息熵的装备体系结构贡献率分析

doi:10.12305/j.issn.1001-506X.2022.06.19

摘要/Abstract

摘要：

针对装备体系构成复杂等特点, 构建了基于设计结构矩阵(design structure matrix, DSM)和信息熵的装备体系结构贡献率评估模型。首先, 基于“整体、动态、对抗”的思想, 建立装备体系贡献率评估的动态—静态DSM评价模型; 其次, 以单一能力最小为粒度对作战过程进行分解, 依据元活动序列对装备体系能力结构进行网络化建模; 然后, 采用信息熵方法计算装备能力灵敏度。以某航空作战装备体系为例, 验证了本方法的可行性和合理性。

关键词: 设计结构矩阵, 能力, 元活动, 自信息量

Abstract:

Aiming at the complex structure of the equipment system-of-systems and other characteristics, an equipment system structure contribution rate evaluation model based on the design structure matrix (DSM) and information entropy is constructed. First, based on the idea of "all-round, dynamic, and confrontational", the dynamic-static DSM evaluation model for the assessment of the contribution rate of the equipment system is established; second, the combat process is decomposed with the smallest single capability as the granularity, and the capability structure of the equipment system is analysed according to the meta activity sequence. After the networked modeling is carried out, the information entropy method is used to calculate the sensitivity of equipment capabilities. Taking a certain aviation combat equipment system as an example, the feasibility and rationality of this method are verified.

Key words: design structure matrix (DSM), capability, meta activity, self-information

中图分类号:

N936

魏东涛, 刘晓东, 周骏, 陈玉金. 基于DSM与信息熵的装备体系结构贡献率分析[J]. 系统工程与电子技术, 2022, 44(6): 1927-1933.

Dongtao WEI, Xiaodong LIU, Jun ZHOU, Yujin CHEN. Evaluation of equipment's structure contribution rate to system-of-systems based on DSM and information entropy[J]. Systems Engineering and Electronics, 2022, 44(6): 1927-1933.

图/表 11

图1

图2

图3

图4

图5

图6

表1

图7

表2

图8

图9

参考文献 23

1	拉里·雷尼, 安德利亚斯·图尔克. 建模与仿真在体系工程中的应用[M]. 张宏军, 李宝柱, 刘广, 等译. 北京: 国防工业出版社, 2019.
	LARRY R, ANDREAS T. Modeling and simulation support for system of systems engineering applications[M]. ZHANG H J, LI B Z, LIU G, et al. Trans. Beijing: National Defense Industry Press, 2019.
2	张宏军, 韦正现, 鞠鸿彬, 等. 武器装备体系工程原理与工程方法[M]. 北京: 电子工业出版社, 2019.
	ZHANG H J , WEI Z X , JU H B , et al. Engineering principles and engineering methods of weapon equipment system of systems[M]. Beijing: Electronic Industry Press, 2019.
3	罗小明, 何榕, 朱延雷. 武器装备体系结构贡献度评估[J]. 装甲兵工程学院学报, 2016, 30 (4): 1- 6.
	LUO X M , HE R , ZHU Y L . Evaluation of the contribution of weapon equipment architecture[J]. Journal of Academy of Armored Force Engineering, 2016, 30 (4): 1- 6.
4	李小波, 王维平, 林木, 等. 体系贡献率评估的研究框架、进展与重点方向[J]. 系统工程理论与实践, 2019, 39 (6): 1623- 1634.
	LI X B , WANG W P , LIN M , et al. Research framework, progress and key directions of system contribution rate evaluation[J]. Systems Engineering: Theory and Practice, 2019, 39 (6): 1623- 1634.
5	张先超, 马亚辉. 体系能力模型与装备体系贡献率测度方法[J]. 系统工程与电子技术, 2019, 41 (4): 843- 849.
	ZHANG X C , MA Y H . System capability model and equipment system contribution rate measurement method[J]. Systems Engineering and Electronics, 2019, 41 (4): 843- 849.
6	谭跃进, 张小可, 杨克巍. 武器装备体系网络化描述与建模方法[J]. 系统管理学报, 2012, 21 (6): 781- 786. doi: 10.3969/j.issn.1005-2542.2012.06.009
	TAN Y J , ZHANG X K , YANG K W . Networked description and modeling method of weapon equipment system[J]. Journal of Systems Management, 2012, 21 (6): 781- 786. doi: 10.3969/j.issn.1005-2542.2012.06.009
7	孟俊勇. 基于作战环的武器装备体系目标毁伤概率研究[D]. 长沙: 国防科学技术大学, 2016.
	MENG J Y. Research on target damage probability of weapon equipment system based on combat ring[D]. Changsha: National University of Defense Technology, 2016.
8	李小波, 林木, 束哲, 等. 体系贡献率能效综合评估方法[J]. 系统仿真学报, 2018, 30 (12): 4520- 4528.
	LI X B , LIN M , SHU Z , et al. Comprehensive evaluation me-thod of system contribution rate and energy efficiency[J]. Journal of System Simulation, 2018, 30 (12): 4520- 4528.
9	刘鹏, 赵丹玲, 谭跃进, 等. 面向多任务的武器装备体系贡献度评估方法[J]. 系统工程与电子技术, 2019, 41 (8): 1763- 1770.
	LIU P , ZHAO D L , TAN Y J , et al. Multi-task-oriented weapon equipment system contribution evaluation method[J]. Systems Engineering and Electronics, 2019, 41 (8): 1763- 1770.
10	LI J C , TAN Y J , YANG K W , et a1 . Structural robustness of combat networks of weapon system-of-systems based on the operation loop[J]. International Journal of Systems Science, 2016, 48 (3): 659- 674.
11	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.
	WANG H Y , WU W , WEI Y Y . Invulnerability analysis of weapon equipment system based on hyper-network model[J]. Systems Engineering and Electronics, 2017, 39 (8): 1782- 1787.
12	张强, 李建华, 沈迪, 等. 复杂网络理论的作战网络动态演化模型[J]. 哈尔滨工业大学学报, 2015, 47 (10): 106- 112. doi: 10.11918/j.issn.0367-6234.2015.10.021
	ZHANG Q , LI J H , SHEN D , et al. Combat network dynamic evolution model based on complex network theory[J]. Journal of Harbin Institute of Technology, 2015, 47 (10): 106- 112. doi: 10.11918/j.issn.0367-6234.2015.10.021
13	罗承昆, 陈云翔, 何桢, 等. 基于故障树分析的航空装备体系结构贡献率评估方法[J]. 国防科技大学学报, 2021, 43 (1): 155- 162.
	LUO C K , CHEN Y X , HE Z , et al. Evaluation method of contribution rate of aviation equipment architecture based on fault tree analysis[J]. Journal of National University of Defense Technology, 2021, 43 (1): 155- 162.
14	罗航. 故障树分析的若干关键问题研究[D]. 成都: 电子科技大学, 2011.
	LUO H. Research on some key problems of fault tree analysis[D]. Chengdu: University of Electronic Science and Technology of China, 2011.
15	杨青, 吕佳芮, 索尼亚. 基于设计结构矩阵(DSM)的复杂研发项目建模与优化研究进展[J]. 系统工程理论与实践, 2016, 36 (4): 989- 1002.
	YANG Q , LYU J R , SONIA . Research progress on modeling and optimization of complex R & D projects based on design structure matrix (DSM)[J]. Systems Engineering: Theory and Practice, 2016, 36 (4): 989- 1002.
16	李洪波, 徐哲, 于静. 基于DSM的研发项目流程多目标仿真优化[J]. 系统工程理论与实践, 2015, 35 (1): 142- 149.
	LI H B , XU Z , YU J . Multi objective simulation and optimization of R & D project process based on DSM[J]. Systems Engineering: Theory and Practice, 2015, 35 (1): 142- 149.
17	刘建刚, 唐敦兵, 杨春, 等. 基于物理DSM与行列变换的产品结构聚类划分[J]. 系统工程与电子技术, 2008, 30 (10): 1904- 1908. doi: 10.3321/j.issn:1001-506X.2008.10.022
	LIU J G , TANG D B , YANG C , et al. Product structure clustering division based on physical DSM and row-column transformation[J]. Systems Engineering and Electronics, 2008, 30 (10): 1904- 1908. doi: 10.3321/j.issn:1001-506X.2008.10.022
18	杨青, 吕杰峰, 黄健美. 基于DSM的复杂研发项目价值流优化[J]. 管理评论, 2012, 24 (3): 171- 176.
	YANG Q , LYU J F , HUANG J M . Value stream optimization of complex R & D projects based on DSM[J]. Management Review, 2012, 24 (3): 171- 176.
19	杨青, 唐尔玲. 研发项目产品与流程架构的跨领域集成与优化[J]. 系统工程理论与实践, 2014, 34 (6): 1525- 1532.
	YANG Q , TANG E L . Cross-domain integration and optimization of R & D project product and process architecture[J]. Systems Engineering: Theory and Practice, 2014, 34 (6): 1525- 1532.
20	贡智兵, 李东波, 于敏健. 基于设计结构矩阵变更的设计过程动态规划[J]. 计算机集成制造系统, 2007, 13 (3): 437- 441. doi: 10.3969/j.issn.1006-5911.2007.03.004
	GONG Z B , LI D B , YU M J . Dynamic planning of design process based on change of design structure matrix[J]. Computer Integrated Manufacturing System, 2007, 13 (3): 437- 441. doi: 10.3969/j.issn.1006-5911.2007.03.004
21	陈英武, 豆亚杰, 程贲, 等. 基于作战活动分解的武器装备体系能力需求生成研究[J]. 系统工程理论与实践, 2011, 31 (S1): 154- 163.
	CHEN Y W , DOU Y J , CHENG B , et al. Study on demand generation of weapon equipment system capability based on the decomposition of combat activities[J]. Systems Engineering: Theory and Practice, 2011, 31 (S1): 154- 163.
22	鲁延京, 程贲, 陈英武, 等. 基于BN的武器装备体系能力重要度分析[J]. 系统工程与电子技术, 2012, 34 (8): 1605- 1612.
	LU Y J , CHENG B , CHEN Y W , et al. Analysis of the importance of weapon equipment system capabilities based on BN[J]. Systems Engineering and Electronics, 2012, 34 (8): 1605- 1612.
23	商慧琳. 武器装备体系作战网络建模及能力评估方法研究[D]. 长沙: 国防科学技术大学, 2013.
	SHANG H L. Research on modeling and capability evaluation method of weapon equipment system combat network[D]. Changsha: National University of Defense Technology, 2013.

编号	装备名称	能力模块F	能力权重F₁₍₁₂₎
A₁	JJ1	F₁₍₁₂₎, F₇₍₁₂₎, F₉₍₁₂₎	w₁=0.2, w₇=0.2, w₉=0.6
A₂	JJ2	F₁₍₁₂₎, F₇₍₁₂₎, F₉₍₁₂₎	w₁=0.15, w₇=0.15, w₉=0.7
A₃	JH1	F₁₍₁₂₎, F₇₍₁₂₎, F₁₀₍₁₂₎	w₁=0.1, w₇=0.3, w₉=0.6
A₄	HZ1	F₁₍₁₂₎, F₇₍₁₂₎, F₁₁₍₁₂₎	w₁=0.2, w₇=0.1, w₉=0.6
A₅	YJ1	F₄₍₁₂₎, F₅₍₁₂₎, F₆₍₁₂₎, F₇₍₁₂₎, F₈₍₁₂₎	w₄=0.2, w₅=0.1, w₆=0.2, w₇=0.2, w₈=0.3
A₆	YJ2	F₄₍₁₂₎, F₅₍₁₂₎, F₆₍₁₂₎, F₇₍₁₂₎, F₈₍₁₂₎	w₄=0.2, w₅=0.15, w₆=0.15, w₇=0.25, w₈=0.25
A₇	GR1	F₃₍₁₂₎, F₆₍₁₂₎	w₃=0.8, w₆=0.2
A₈	ZC1	F₂₍₁₂₎, F₆₍₁₂₎	w₂=0.8, w₆=0.2
A₉	ZC2	F₂₍₁₂₎, F₆₍₁₂₎	w₂=0.6, w₆=0.4

装备名称	输入能力	网络边	能力绝对灵敏度P	权重I
JJ1	c₁, c₅	l₁₄，l₅₇	p₁₁⁶=0.050, p₅₁⁶=0.035	I₆₂=0.085
JJ2	c₁, c₅	l₁₄，l₅₇	p₁₂⁶=0.057, p₅₂⁶=0.042	I₆₂=0.097
JH1	c₁, c₅	l₁₄，l₅₇	p₁₃⁶=0.025, p₅₃⁶=0.062	I₆₃=0.087
HZ1	c₁, c₅	l₁₄，l₅₇	p₁₄⁶=0.024, p₅₄⁶=0.052	I₆₄=0.078
YU1	c₄, c₇	l₄₄，l₇₇	p₄₅⁶=0.034, p₇₅⁶=0.038	I₆₅=0.072
GR1	c₃, c₆	l₃₄，l₆₇	p₃₇⁶=0.034, p₆₇⁶=0.028	I₆₇=0.062
ZC1	c₂, c₆	l₂₄，l₆₇	p₂₈⁶=0.045, p₆₈⁶=0.035	I₆₈=0.080
ZC2	c₂, c₆	l₂₄，l₆₇	p₂₉⁶=0.034, p₆₉⁶=0.047	I₆₉=0.081

[1]	周文明, 崔德康, 周婧怡, 张明明, 朱安石. 储供基地支援保障能力评估混合算法[J]. 系统工程与电子技术, 2022, 44(9): 2832-2839.
[2]	钱立炜, 徐向前, 豆亚杰, 谭跃进. 基于RIMER方法的体系能力需求推荐方法[J]. 系统工程与电子技术, 2022, 44(12): 3719-3727.
[3]	王琮, 沈会良, 夏永祥, 白光晗, 方依宁. 装备保障体系关键节点分析[J]. 系统工程与电子技术, 2022, 44(10): 3134-3142.
[4]	马骏, 杨镜宇, 邹立岩. 基于Stacking集成元模型的作战体系能力图谱生成方法[J]. 系统工程与电子技术, 2022, 44(1): 154-163.
[5]	袁刘鹏程, 方哲梅, 王剑波, 秦肖臻. 基于CRC-MATE的体系架构方案选择[J]. 系统工程与电子技术, 2021, 43(8): 2146-2153.
[6]	马钧文, 张安, 高飞, 毕文豪. 基于置信规则推理的武器装备体系贡献度评估[J]. 系统工程与电子技术, 2020, 42(7): 1519-1526.
[7]	李岩, 陈云翔, 罗承昆, 蔡忠义. 基于FA-ER的装备保障资源供给能力评估方法[J]. 系统工程与电子技术, 2020, 42(3): 630-637.
[8]	奚之飞, 徐安, 寇英信, 李战武, 杨爱武. 多机协同空战机动决策流程[J]. 系统工程与电子技术, 2020, 42(2): 381-389.
[9]	宋明昌, 石全, 尤志锋, 李磊, 陈材. 多信息源条件下战损部件恢复能力评估方法[J]. 系统工程与电子技术, 2020, 42(11): 2538-2545.
[10]	殷小静, 胡晓峰, 刘戎翔, 谢智歌, 马骏. 基于GAN的体系能力图谱生成方法[J]. 系统工程与电子技术, 2020, 42(10): 2257-2264.
[11]	王高岳, 张慧君, 陈贤, 李昊. 基于高斯过程回归的大气进入段航天器飞行能力预测方法[J]. 系统工程与电子技术, 2020, 42(10): 2334-2339.
[12]	潘星, 张振宇, 张曼丽, 张国忠. 基于SoSE的装备体系RMS论证方法研究[J]. 系统工程与电子技术, 2019, 41(8): 1771-1779.
[13]	罗承昆, 陈云翔, 项华春, 王莉莉. 装备体系贡献率评估方法研究综述[J]. 系统工程与电子技术, 2019, 41(8): 1789-1794.
[14]	梁家林, 熊伟. 基于作战环的武器装备体系能力评估方法[J]. 系统工程与电子技术, 2019, 41(8): 1810-1819.
[15]	张航, 宋笔锋, 王海峰, 王耿. 固旋翼无人机垂直起降阶段抗风特性及其影响因素[J]. 系统工程与电子技术, 2019, 41(7): 1525-1535.