基于FDN的装备体系任务能力依赖性分析

doi:10.12305/j.issn.1001-506X.2021.06.33

Abstract

Abstract:

In order to deeply analyze the influence of the performance degradation of each equipment system in system of systems on interdependency among them and accurately grasp the evolution law of the current efficiency of each equipment system under the dual influence of its own performance degradation and interdependence. The traditional functional dependency network analysis (FDNA) method is improved and the self-effectiveness degradation coefficient is introduced to give a dynamic FDNA algorithm considering time factor. And the performance degradation model of the equipment system in system of systems is constructed based on the Markov process to provide the corresponding basis for the calculation of self-effectiveness degradation coefficient. Then, a task capability dependency analysis method of weapon system of systems based on the functional dependency network is proposed, and the feasibility of the method is verified by a case.

Key words: weapon system of system, performance degradation, functional dependency network analysis (FDNA), Markov process, dependency analysis

CLC Number:

TB114

Yuqi CHEN, Tingxue XU, Jianping HAO, Cheng LU, Zhiqiang LI. Task capability dependency analysis of weapon system of systems based on FDN[J]. Systems Engineering and Electronics, 2021, 43(6): 1721-1728.

Figures/Tables 10

Fig.1

Fig.2

Fig.3

Table 1

Fig.4

Fig.5

Fig.6

Table 2

Fig.7

Fig.8

References 35

1	罗鹏程, 周经纶, 金光. 武器装备体系作战效能与作战能力评估分析方法[M]. 北京: 国防工业出版社, 2014.
	LUO P C , ZHOU J L , JIN G . Evaluation and analysis method of combat effectiveness and combat capability of weapons system of systems[M]. Beijing: National Defense Industry Press, 2014.
2	Joint Chief of Staff . Manual for the operation of the joint capabilities integration and development system[M]. Washington: Joint Chief of Staff, 2009.
3	KILICAY N H, DAGLI C H, ENKE D, et al. Methodologies for understanding behavior of system of systems[C]//Proc. of the 2nd Annual System of Systems Engineering Conference, 2006.
4	张维明, 刘忠, 阳东升, 等. 体系工程理论与方法[M]. 北京: 科学出版社, 2010.
	ZHANG W M , LIU Z , YANG D S , et al. Theory and method of system of systems engineering[M]. Beijing: Science Press, 2010.
5	BUTTERFIELD M, PEARLMAN J. Creation of a system of systems on global scale: the evolution of GEOSS[C]//Proc. of the 2nd Annual System of Systems Engineering Conference, 2006.
6	KEATING C , ROGERS R , UNAL R , et al. System of systems engineering[J]. Engineering Management Journal, 2003, 15 (3): 36- 45.
7	PATRICK R. A system of systems interface hazard analysis technique[R]. New South Wales: Naval Postgraduate School, 2007.
8	BERRY B J L . Cities as systems within systems of cities[J]. Papers of the Regional Science Association, 1964, 13 (1): 146- 163. doi: 10.1007/BF01942566
9	THACKER S , PANT R , HALL J W . System-of-systems formulation and disruption analysis for multi-scale critical national infrastructures[J]. Reliability Engineering & System Safety, 2017, 167, 30- 41.
10	EISNER H, MARCINIAK J, MCMILLAN R. Computer aided systems of systems(S2) engineering[C]//Proc. of the IEEE International Conference on Systems, Man, and Cybernetics, 1991.
11	张旺勋. 基于复杂交互网络的武器装备体系安全性分析方法[D]. 长沙: 国防科学技术大学, 2015.
	ZHANG W X. A weapon system of systems safety analysis method based on complex interaction networks[D]. Changsha: National University of Defense Technology, 2015.
12	罗湘勇, 冯浩源, 潘星, 等. 面向流程的保障体系集成建模方法研究[J]. 系统工程与电子技术, 2013, 35 (11): 2314- 2319.
	LUO X Y , FENG H Y , PAN X , et al. Integration modeling approach of process oriented support system of systems[J]. Systems Engineering and Electronics, 2013, 35 (11): 2314- 2319.
13	WISSAM K , ROCHDI M , BELKACEM O B , et al. Hyper-graph models for system of systems supervision design[J]. IEEE Trans.on Systems Man and Cybernetics: Systems, 2012, 42 (4): 1005- 1012. doi: 10.1109/TSMCA.2012.2183350
14	ENDER T , LEURCK R F , WEAVER B , et al. Systems-of-systems analysis of ballistic missile defense architecture effectiveness through surrogate modeling and simulation[J]. IEEE Systems Journal, 2010, 4 (2): 156- 165. doi: 10.1109/JSYST.2010.2045541
15	熊健, 赵青松, 葛冰峰, 等. 基于多目标优化模型的武器装备体系能力规划[J]. 国防科技大学学报, 2011, 33 (3): 140- 144. doi: 10.3969/j.issn.1001-2486.2011.03.027
	XIONG J , ZHAO Q S , GE B F , et al. Weapon equipment system of systems capability planning based on multi-objective optimization model[J]. Journal of National University of Defense Technology, 2011, 33 (3): 140- 144. doi: 10.3969/j.issn.1001-2486.2011.03.027
16	ALEXANDRA B, TAO G, ANDREAS L, et al. Distributed control of emergence: local and global anti-component strategies in particle swarms and ant colonies[C]//Proc. of the IEEE 3rd International Conference on Self-Adaptive and Self-organizing Systems, 2009: 216-222.
17	杨克巍, 李明浩, 鲁延京, 等. 基于平行执行的装备体系涌现行为导向性方法[J]. 系统工程与电子技术, 2013, 35 (6): 1218- 1225.
	YANG K W , LI M H , LU Y J , et al. Parallel executing based method towards guiding emerged behaviors of weapon system of systems[J]. Systems Engineering and Electronics, 2013, 35 (6): 1218- 1225.
18	PINTO C A , GARVAY P R . Advanced risk analysis in engineering enterprise systems[M]. New York: CRC Press, 2012.
19	DELAURENTIS D A. Assessing the impact of development disruptions and dependencies in analysis of alternatives of system-of-systems SERC-2012-TR-035[R]. U.S. : Purdue University, 2012.
20	DELAURENTIS D A. Assessing the impact of development disruptions and dependencies in analysis of alternatives of system-of-systems SERC-2013-TR-035-2[R]. U.S. : Purdue University, 2013.
21	RAHNAMAY N M , HAYAT M . Cascading failures in interdependent infrastructures: an interdependent Markov-Chain approach[J]. IEEE Trans.on Smart Grid, 2016, 7 (4): 1997- 2006. doi: 10.1109/TSG.2016.2539823
22	WANG F , TIAN L X , DU R J , et al. The robustness of interdependent weighted networks[J]. Physica A: Statistical Mechanics and its Applications, 2018, 508, 675- 680. doi: 10.1016/j.physa.2018.05.110
23	GAO Y L , CHEN S M , NIE S , et al. Robustness analysis of interdependent networks under multiple-attacking strategies[J]. Physica A: Statistical Mechanics and its Applications, 2017, 496, 495- 504.
24	周伟, 朱晓, 冉琰, 等. 考虑性能依赖的元动作单元多态可靠性分析[J]. 哈尔滨工业大学学报, 2020, 52 (1): 62- 68.
	ZHOU W , ZHU X , RAN Y , et al. Reliability analysis method of meta-action unit in multi-state system considering perfor-mance dependence[J]. Journal of Harbin Institute of Technology, 2020, 52 (1): 62- 68.
25	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.
	WANG C , GUO J L , SHEN A W . Analysis of cascading fai-lures of interdependent networks based on asymmetric depen-dency[J]. Systems Engineering and Electronics, 2020, 42 (5): 1093- 1101.
26	胡启国, 高展. 多元参数退化的系统相关竞争失效可靠性评估方法[J]. 西北工业大学学报, 2019, 37 (6): 1191- 1199.
	HU Q G , GAO Z . A reliability evaluation method for system's dependent competition failure and multi-parameter degradation failure[J]. Journal of Northwestern Polytechnical University, 2019, 37 (6): 1191- 1199.
27	GARVEY P R, PINTO C A. Introduction to functional dependency network analysis[C]//Proc. of the 2nd International Symposium on Engineering Systems, 2009.
28	GUARINIELLO C , DELAURENTIS D . Dependency analysis of system-of-systems operational and development networks[J]. Precedia Computer Science, 2013, 16, 264- 274.
29	陈跃, 李元元, 秦肖臻, 等. 基于FDNA的体系效能波及分析[J]. 火力与指挥控制, 2017, 42 (10): 14- 18. doi: 10.3969/j.issn.1002-0640.2017.10.004
	CHEN Y , LI Y Y , QIN X Z , et al. Ripple effect analysis for system of systems using FDNA[J]. Fire Control & Command Control, 2017, 42 (10): 14- 18. doi: 10.3969/j.issn.1002-0640.2017.10.004
30	陈宽, 李元元, 罗云峰, 等. 基于功能依赖网络的体系韧性分析[J]. 指挥与控制学报, 2016, 2 (3): 256- 260.
	CHEN K , LI Y Y , LUO Y F , et al. Evaluating system of systems resilience based on functional dependency network analysis[J]. Journal of Command and Control, 2016, 2 (3): 256- 260.
31	张旺勋, 李群, 侯洪涛, 等. 卫星导航系统的体系安全性分析方法[J]. 国防科技大学学报, 2015, 37 (2): 92- 98.
	ZHANG W X , LI Q , HOU H T , et al. System of systems safety analysis method for GNSS[J]. Journal of National University of Defense Technology, 2015, 37 (2): 92- 98.
32	GUARINIELLO C , DELAURENTIS D . Communications, information, and cyber security in systems-of-systems: assessing the impact of attacks through interdependency analysis[J]. Procedia Computer Science, 2014, 28, 720- 727. doi: 10.1016/j.procs.2014.03.086
33	GARVAY P R , PINTO C A , SANTOS J R . Modelling and measuring the operability of interdependent systems and systems of systems: advances in methods and applications[J]. International Journal of System of Systems Engineering, 2014, 5 (1): 1- 24. doi: 10.1504/IJSSE.2014.060880
34	陈宇奇, 徐廷学, 李志强, 等. 基于证据GO法的复杂多态系统动态可靠性分析[J]. 系统工程与电子技术, 2020, 42 (1): 230- 237.
	CHEN Y Q , XU T X , LI Z Q , et al. Dynamic reliability analysis of complex multi-state system based on evidence GO method[J]. Systems Engineering and Electronics, 2020, 42 (1): 230- 237.
35	李志强, 徐廷学, 董琪, 等. 基于Markov模型的多状态不可修元件可靠性评估[J]. 电光与控制, 2017, 24 (9): 58- 63.
	LI Z Q , XU T X , DONG Q , et al. Markov model based reliability assessment of non-repairable element with multiple states[J]. Electronics Optics & Control, 2017, 24 (9): 58- 63.

参数设置	Garvey法	本文方法
参数设置	$ \begin{array}{*{20}{c}}{{{{\mathop{\rm SOD}\nolimits} }_{{O_{ij}}}} = {\alpha _{ij}}{O_i} + }{100\left( {1 - {\alpha _{ij}}} \right)}\end{array}$	$\left\{ {\begin{array}{*{20}{l}}{{{{\mathop{\rm SOD}\nolimits} }_{{O_{ij}}}} = \left[ {{\alpha _{ij}}{O_i} + 100 \times } \right.}\\{\left. {\left( {1 - {\alpha _{ij}}} \right)} \right]{\delta _j}}\\{{\delta _j} = \frac{{{\rm{S}}{{\rm{E}}_j}}}{{{\rm{BO}}{{\rm{L}}_{{O_j}}}}} \times 100\% }\end{array}} \right. $
O_i=100, SE_j=10	O_j=100	O_j=100
O_i=100, SE_j=5	O_j=100	O_j=50
O_i=100, SE_j=0	O_j=100	O_j=0
O_i=50, SE_j=10	O_j=55	O_j=55
O_i=0, SE_j=10	O_j=10	O_j=10
O_i=50, SE_j=5	O_j=55	O_j=27.5

节点编号	状态编号	对应效能值	瞬时状态转移强度(×10^-6/h)
节点编号	状态编号	对应效能值	λ₁₀	λ₁₂	λ₁₃	λ₀₂	λ₀₃	λ₂₃
N₁	1	100	15.2	13.2	14.5	16.5	20.5	16.8
	0	75	15.2	13.2	14.5	16.5	20.5	16.8
	2	50	15.2	13.2	14.5	16.5	20.5	16.8
	3	0	15.2	13.2	14.5	16.5	20.5	16.8
N₂	1	100	—	19.6	14.3	—	—	20.2
	2	50	—	19.6	14.3	—	—	20.2
	3	0	—	19.6	14.3	—	—	20.2
N₃	1	15	—	18	—	—	—	—
N₃	2	0	—	18	—	—	—	—
N₄	1	20	—	14.6	10.8	—	—	15.4
	2	10	—	14.6	10.8	—	—	15.4
	3	0	—	14.6	10.8	—	—	15.4

[1]	Shunqi HUAN, Zhemei FAN, Jianbo WANG. System-of-systems effectiveness evaluation method based on functional dependency network [J]. Systems Engineering and Electronics, 2022, 44(7): 2191-2200.
[2]	Dali ZHANG, Hongwei XIA, Chaoxing ZHANG, Guangcheng MA, Changhong WANG. Improved firefly algorithm and its convergence analysis [J]. Systems Engineering and Electronics, 2022, 44(4): 1291-1300.
[3]	Luyun QIU, Zhigeng FANG, Liangyan TAO, Qiucheng TAO. Effectiveness evaluation of network SoS based on improved FDNA model [J]. Systems Engineering and Electronics, 2022, 44(12): 3728-3737.
[4]	Zhiwei CHEN, Jing WANG, Changchao GU, Jianchun ZHANG, Jilong ZHONG. Performance availability and resilience analysis of weapon system of systems considering dynamic reconfiguration [J]. Systems Engineering and Electronics, 2021, 43(8): 2347-2354.
[5]	Yali ZHAI, Zhihua ZHANG, Songshi SHAO. Reliability modeling of products based on multiple degradation mechanism [J]. Systems Engineering and Electronics, 2021, 43(6): 1714-1720.
[6]	Zehai GAO, Cunbao MA, Haotian NIU. Performance degradation Lévy model of integrated modular avionics [J]. Systems Engineering and Electronics, 2021, 43(4): 1144-1152.
[7]	ZHANG Yan, WANG Cunsong, LU Ningyun, JIANG Bin. Remaining useful life prediction for aeroengine based on thesimilarity of degradation characteristics [J]. Systems Engineering and Electronics, 2019, 41(6): 1414-1421.
[8]	FENG Yunwen, LIU Kuijian, XUE Xiaofeng, LIU Yuchang. Joint optimization of redundancy level and spare parts for redundant system based on Markov process [J]. Systems Engineering and Electronics, 2019, 41(4): 919-928.
[9]	SHI Yuedong, JIN Jiashan, XU Yifan. Multistate reliability analysis and assessment for complex technical system under semi-Markov processes [J]. Systems Engineering and Electronics, 2019, 41(2): 444-452.
[10]	WANG Xiaoyan, SUN Jianbin, ZHAO Qingsong, CHANG Leilei, ZOU Zhigang. Belief rule base approach for capability satisfactory evaluation with incomplete information [J]. Systems Engineering and Electronics, 2019, 41(11): 2507-2513.
[11]	DONG Wenjie, LIU Sifeng, FANG Zhigeng, CAO Yingsai, ZHANG Qin. Reliability evaluation of degradation failure based on HGERT network model [J]. Systems Engineering and Electronics, 2019, 41(1): 208-214.
[12]	FENG Xiao, GUO Linhan, SONG Changhao, KONG Dandan. Steady state availability modeling method for multicomponent equipment group based on CTMC family [J]. Systems Engineering and Electronics, 2018, 40(6): 1405-1410.
[13]	WANG Hongyu, WU wei, WEI Yanyan. Weapon system of systems invulnerability analysis based on super network model [J]. Systems Engineering and Electronics, 2017, 39(8): 1782-1787.
[14]	ZHAI Yali, ZHANG Zhihua, SHAO Songshi. Failure rule analysis of degradation products and its application [J]. Systems Engineering and Electronics, 2017, 39(6): 1420-1424.
[15]	GU Lei, WANG Shuning, ZHAO Feng. Weapon system of systems capability planning model based on expected effectiveness [J]. Systems Engineering and Electronics, 2017, 39(2): 329-334.

Task capability dependency analysis of weapon system of systems based on FDN

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 10

References 35

Related Articles 15

Recommended Articles

Metrics

Comments