Optimization Design Method of Complex Equipment System-of-systems Based on Forward Analytical Formula and MOGT Optimization Algorithm

doi:10.12382/bgxb.2023.0031

Abstract

Abstract:

For the problems of many index variables, strong simulation dependence and being easy to fall into local optimum in the optimization design of complex equipment system-of-systems (CES), an optimization design method of CES based on forward analytical formula and multi-objective game theory (MOGT) optimization algorithm is proposed. In order to improve the interpretability of the CES optimization design, evaluation index systems among task-level, capability-level and equipment-level are constructed. On this basis, the positive mapping relationship between the evaluation performance index and the combat capability is characterized based on the equipment mechanism and utility function, and the weight of each index is calculated by the adjacent priority degree entropy weight method. A multi-objective optimization model is established by using the forward analytical formulas and constraints, and the MOGT optimization algorithm is used to obtain the best optimization results.The air defense scenario in an operation deduction platform is taken as an example for the example evaluation and verification analysis. The results show that the proposed method can realize the solution of the optimal design scheme in the CES, which can significantly improve the design efficiency and reduce the design cost, and provide the basic work for the development demonstration, design evaluation and combat test of the next generation equipment.

Key words: complex equipment system-of-systems, forward optimization design, multi-objective game theory optimization algorithm, adjacent priority entropy weight, operation deduction simulation

CLC Number:

TJ301

DING Wei, MING Zhenjun, WANG Guoxin, YAN Yan, YU Lei. Optimization Design Method of Complex Equipment System-of-systems Based on Forward Analytical Formula and MOGT Optimization Algorithm[J]. Acta Armamentarii, 2024, 45(6): 1974-1990.

Figures/Tables 18

References 28

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作战能力	评估指标	主观权重	客观权重	综合权重
	目标发现概率ω_1,1	0.426	0.401	0.417
目标侦察能力y₁	目标识别精度ω_1,2	0.304	0.339	0.326
	目标单位密度ω_1,3	0.270	0.260	0.257
持续探测能力y₂	搜索率ω_2,1	0.475	0.498	0.481
	发现率ω_2,2	0.525	0.502	0.519
抗干扰能力y₃	发现概率ω_3,1	0.550	0.537	0.539
	探测距离ω_3,2	0.450	0.463	0.461

作战能力	评估指标	主观权重	客观权重	综合权重
	目标发现概率ω_1,1	0.426	0.401	0.417
目标侦察能力y₁	目标识别精度ω_1,2	0.304	0.339	0.326
	目标单位密度ω_1,3	0.270	0.260	0.257
持续探测能力y₂	搜索率ω_2,1	0.475	0.498	0.481
	发现率ω_2,2	0.525	0.502	0.519
抗干扰能力y₃	发现概率ω_3,1	0.550	0.537	0.539
	探测距离ω_3,2	0.450	0.463	0.461

作战能力	评估指标	主观权重	客观权重	综合权重
	通讯覆盖范围ω_4,1	0.455	0.431	0.440
指挥通讯能力y₄	通讯目标数量ω_4,2	0.318	0.348	0.341
	通讯传输时延ω_4,3	0.227	0.221	0.219
	信息处理时间ω_5,1	0.391	0.369	0.388
信息处理能力y₅	信息存储空间ω_5,2	0.388	0.380	0.412
	信息处理延误率ω_5,3	0.221	0.251	0.200
	战场评估耗时ω_6,1	0.238	0.256	0.231
战场决策能力y₆	决策响应时长ω_6,2	0.317	0.328	0.340
	决策正确率ω_6,3	0.445	0.416	0.429

作战能力	评估指标	主观权重	客观权重	综合权重
	通讯覆盖范围ω_4,1	0.455	0.431	0.440
指挥通讯能力y₄	通讯目标数量ω_4,2	0.318	0.348	0.341
	通讯传输时延ω_4,3	0.227	0.221	0.219
	信息处理时间ω_5,1	0.391	0.369	0.388
信息处理能力y₅	信息存储空间ω_5,2	0.388	0.380	0.412
	信息处理延误率ω_5,3	0.221	0.251	0.200
	战场评估耗时ω_6,1	0.238	0.256	0.231
战场决策能力y₆	决策响应时长ω_6,2	0.317	0.328	0.340
	决策正确率ω_6,3	0.445	0.416	0.429

作战能力	评估指标	主观权重	客观权重	综合权重
	技术准备时间ω_7,1	0.287	0.293	0.310
快速反应能力y₇	波次响应周期ω_7,2	0.359	0.405	0.364
	波次打击耗时ω_7,3	0.354	0.302	0.326
	目标定位精度ω_8,1	0.165	0.177	0.174
	命中精度ω_8,2	0.206	0.192	0.191
精准打击能力y₈	打击角度ω_8,3	0.183	0.186	0.188
	打击距离ω_8,4	0.217	0.204	0.213
	战斗部威力ω_8,5	0.229	0.241	0.234
	突防概率ω_9,1	0.436	0.395	0.382
有效突防能力y₉	环境适应性水平ω_9,2	0.340	0.351	0.345
	隐蔽伪装水平ω_9,3	0.224	0.254	0.273
	波次打击数量ω_10,1	0.317	0.304	0.311
持续投送能力y₁₀	弹药装填耗时ω_10,2	0.329	0.295	0.301
	备件数量满足率ω_10,3	0.185	0.188	0.199
	技术人员专业性ω_10,4	0.169	0.213	0.189