SE-DEA-SVM evaluation method of ECM operational disposition scheme

doi:10.23919/JSEE.2022.000058

Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (3): 600-611.doi: 10.23919/JSEE.2022.000058

收稿日期:2021-02-04 出版日期:2022-06-18 发布日期:2022-06-24

SE-DEA-SVM evaluation method of ECM operational disposition scheme

Luda ZHAO¹(), Bin WANG^1,^2,*(), Jun HE¹, Xiaoping JIANG¹()

¹ College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China
² Third Interdisciplinary Center (HeFei), National University of Defense Technology, Hefei 230037, China

Received:2021-02-04 Online:2022-06-18 Published:2022-06-24
Contact: Bin WANG E-mail:zhaoluda@nudt.edu.cn;49584951@qq.com;xiaoping.jiang@nudt.edu.cn
About author:|ZHAO Luda was born in 1992. He received his B.S. degree in radar countermeasures engineering from the Electronic Engineering Institute of the PLA, China, in 2015. He is currently a M.S. candidate with the Electronic Engineering Institute, National University of Defence Technology. His research interests include ECM operational analysis, combat mission planning, ECM effectiveness analysis, and modeling evaluation. E-mail: zhaoluda@nudt.edu.cn||WANG Bin was born in 1977. He received his B.S., M.S. and Ph.D. degrees in military operations research from the Electronic Engineering Institute of the PLA, in 1998, 2001, and 2004, respectively. He is currently an associate professor with the Department of the Third Interdisciplinary Center, National University of Defence Technology, Heifei, China. He is the deputy director of the Third Interdisciplinary Center of the National University of Defense Technology. His current research interests include operational planning, military operations research, effectiveness evaluation, modeling and simulation. E-mail: 49584951@qq.com||HE Jun was born in 1963. He received his B.S., M.S., and Ph.D. degrees in military operations research from the Electronic Engineering Institute of the PLA, in 1984, 1987, and 1991, respectively. He is currently a professor with the Department of Operational Commanding, National University of Defence Technology, Heifei, China. His current research interests include operational planning, military operations research, effectiveness evaluation, modeling and simulation. E-mail: 824717863@ qq.com||JIANG Xiaoping was born in 1987. He received his B.S. and M.S. degrees in control science and engineering from Harbin Institute of Technology, in 2010 and 2012, respectively. He received his Ph.D. degree in computer science and operations research from University of Nottingham, in 2020. He is currently a research fellow with the Department of Operational Commanding, National University of Defence Technology, Heifei, China. His current research interests include logistics optimization, heuristic algorithm, automatic control, traffic logistics, and scheduling. E-mail: xiaoping.jiang@nudt.edu.cn
Supported by:
This work was supported by the Military Postgraduate Funding Project (JY2019C055) and Hunan Province Postgraduate Scientific Research Innovation Project (CX20200029).

摘要/Abstract

Abstract:

Operational disposition of electronic countermeasures (ECM) is a hot topic in modern warfare research. Through fully analyzing the characteristics and shortcomings of the traditional operational disposition scheme, a super-efficient data envelopment analysis support vector machine (SE-DEA-SVM) method for evaluating the operational configuration scheme of ECM is proposed. Firstly, considering the subjective and objective factors affecting the operational disposition of ECM, the index system of operational disposition scheme is established, and we explain the solution method of terminal indexs. Secondly, the evaluation and algorithm process of SE-DEA-SVM evaluation method are introduced. In this method, the super-efficient data envelopment analysis (SE-DEA) model is used to calculate the weight of index system, and the support vector machine (SVM) method combined with the training samples of evaluation index is used to obtain the input-output model of evaluation value of combat configuration. Finally, by an example (obtaining five schemes), we verify the SE-DEA-SVM evaluation method and analyze the results. The efficiency analysis, comparison analysis, and error analysis of this method are carried out. The results show that this method is more suitable for military evaluation with small samples, and it has high efficiency, applicability, and popularization value.

Key words: electronic countermeasures (ECM), operational disposition, plan evaluation, super-efficiency data envelopment analysis (SE-DEA), support vector machine (SVM)

. [J]. Journal of Systems Engineering and Electronics, 2022, 33(3): 600-611.

Luda ZHAO, Bin WANG, Jun HE, Xiaoping JIANG. SE-DEA-SVM evaluation method of ECM operational disposition scheme[J]. Journal of Systems Engineering and Electronics, 2022, 33(3): 600-611.

图/表 14

参考文献 33

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Metric	Expression level
Metric	high (++)	higher (+)	medium (?)	Lower (×)	Low (××)
Interval range	(0.8,1]	(0.6,0.8]	(0.4,0.6]	(0.2,0.4]	(0,0.2]

Index	Case 1	Case 2	Case 3	Case 4	Case 5
A₁₁	0.4230	0.6500	0.2546	0.3463	0.3453
A₁₂	0.0100	0.1700	0.9400	0.1900	0.6100
A₁₃	0.1200	0.2300	0.1500	0.2100	0.2900
A₂₁	0.1800	0.4800	0.1700	0.0700	0.1800
A₂₂	0.1200	0.1200	0.0200	0.2800	0.0940
A₂₃/W	9800	1100	5300	1500	9000
A₃₁	0.9800	0	0.7000	0.7200	0.9800
A₄₁	0.2600	0.2700	0.5500	0.1400	0.3700
A₄₂	0.4000	0.4200	0.6200	0.3500	0.5500
A₄₃/s^?1	0.3000	0.3200	0.8300	0.1500	0.9500
A₄₄/m	2800	400	4200	5000	4600
A₅₁	0.1200	0.1200	0.0200	0.2800	0.0940
A₅₂	0.1800	0.4800	0.0700	0.2700	0.1800

Index	Case 1	Case 2	Case 3	Case 4	Case 5
A₁₁	0.4259	1	0	0.2319	0.2294
A₁₂	0	0.1720	1	0.1935	0.6452
A₁₃	0	0.6471	0.1765	0.5294	1
A₂₁	0.2683	1	0.2439	0	0.2683
A₂₂	0.3846	0.3846	0	1	0.2846
A₂₃/W	1	0	0.4828	0.0459	0.0919
A₃₁	1	0	0.7143	0.7347	1
A₄₁	0.2927	0.3170	1	0	0.5609
A₄₂	0.1852	0.2593	1	0	0.7407
A₄₃/s^?1	0.1875	0.2125	0.8500	0	1
A₄₄/m	0.5217	0	0.8261	1	0.9130
A₅₁	0.3846	0.3846	0	1	0.2846
A₅₂	0.2683	1	0	0.4878	0.2683

Case	Relaxation variable $ S^ + $													$S^-$	$\theta $
Case	$S_1^ + $	$S_2^ + $	$S_3^ + $	$S_4^ + $	$S_5^ + $	$S_6^ + $	$S_7^ + $	$S_8^ + $	$S_9^ + $	$S_{10}^ + $	$S_{11}^ + $	$S_{12}^ + $	$S_{13}^ + $	$S^-$	$\theta $
1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1.214
2	0.55465	0.76000	2.45000	15.2000	112	1.27000	1.39000	0.34000	0.34000	1.75000	0.05000	0.85000	1450	0	0.991
3	0.54230	0.71000	2.43000	15.6000	127	0.80000	0.60000	0.28000	0.28000	0.64000	0.04000	1.92000	1065	0	1.051
4	0.48050	0.15000	2.61000	17.6000	121	1.06000	0.51000	0.31000	0.31000	0.04998	0.06000	1.58000	1295	0	0.847
5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1.169

Compare items	DEC-CCR	DEC-BBC	SE-DEA	SE-DEA-SVM
Absolute error	?0.012	0.010	?0.004	?0.001
Semantic level	+	+	++	++
Fault freedom	×	×	√	√

SE-DEA-SVM evaluation method of ECM operational disposition scheme

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