规范约束空间下多类型因子混合MP-CE试验设计方法

doi:10.12305/j.issn.1001-506X.2026.04.14

Abstract

Abstract:

In the design of equipment experiments, the mixing of multi-type factors is very common, and there are complex constraint relations among the factors. For complex and irregular experiment space, a maximum projection coordinate exchange experimental design algorithm （MP-CE） in normalized constrained space is proposed. Firstly, typical factor constraints are defined and described in standardised terms. Then, a unified experiment space description method is presented to represent analytical constraints and non-analytical constraints, and construct normalized constrained experimental space. Then, the improved MP-CE algorithm is proposed according to the characteristics of normalized constrained experimental space to effectively addressing multi-factor mixed experimental design problems under complex constraints. Finally, a comparative study is carried out through an application example. The effectiveness and advantages of the proposed method are verified by calculating multiple evaluation indexes such as model prediction effect, space filling and optimality criterion.

Key words: design of experiment, multi-type factors mixing, maximum projection criterion, coordinate exchange, constraint space

CLC Number:

TP 391.9

Zichen WANG, Zhengqiang PAN, Yanlin WANG, Guang JIN, Wei ZOU. Multi-type factors mixed experimental design method of MP-CE in normalized constrained space[J]. Systems Engineering and Electronics, 2026, 48(4): 1243-1253.

Figures/Tables 13

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因子名称	类型	量值
导弹来袭方向/（°）	分类	[−45,−30,−15,0,15,30,45]
末制导雷达开机距离/km	连续	40~70
方位探测角范围/（°）	连续	40~60
距离探测范围/km	连续	10~27
舰船机动方向/（°）	分类	[60,120,180,240,300]
舰船速度/节	连续	10~30
箔条布放策略	分类	[1,2,3,4,5]
箔条发射时机/s	连续	−40~10
箔条发射距离/km	连续	1~3
风速/级	离散	[1,2,3,4,5,6]
风向/（°）	分类	[60,120,180,240,300,360]

约束类型	FFF	MP-CE
样本数限制	√	√
必做点约束	—	√
不允许组合约束	√	√
解析形式关键区域约束	√	√
非解析形式关键区域约束	—	√

[1]	GE Zheng-zheng, JIANG Tong-min, HAN Shao-hua, LI Xiao-yang. Design of accelerated degradation testing with multiple stresses based on D optimality [J]. Journal of Systems Engineering and Electronics, 2012, 34(4): 846-853.
[2]	LIU Xin-liang, GUO Bo. Multi-objective experimentation design optimization based on modified ESE algorithms [J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 410-414.

Multi-type factors mixed experimental design method of MP-CE in normalized constrained space

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