Li Xiaxia, Yang Jingming, Sun Hao, Hu Ziyu, Cao Anran
Engineering Research Center of the Ministry of Education for Intelligent Control System and Intelligent Equipment, Yanshan University, Qinhuangdao, China; Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China.
Engineering Research Center of the Ministry of Education for Intelligent Control System and Intelligent Equipment, Yanshan University, Qinhuangdao, China; Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China.
ISA Trans. 2021 Nov;117:196-209. doi: 10.1016/j.isatra.2021.01.053. Epub 2021 Feb 3.
In practical applications and daily life, dynamic multiobjective optimization problems (DMOPs) are ubiquitous. The purpose of dealing with DMOPs is to track moving Pareto Front (PF) and find a series of Pareto Set (PS) at different times. Prediction-based strategies improve the performance of multiobjective evolutionary algorithms in dynamic environments. However, how to ensure the accuracy of prediction models is always a challenge. In this study, a dual prediction strategy with inverse model (DPIM) is developed, to alleviate the negative impact of inaccurate prediction. When a change is confirmed, DPIM responses to it by predicting the individuals in the objective space. Furthermore, the inverse model is established to connect the decision space with the objective space, which can guide the search for promising decision areas. Specifically, the inverse model is also predicted to minimize the error in the process of mapping the population from the objective space back to the decision space. The effectiveness of the proposed DPIM is proved by comparison with four effective DMOEAs on 14 benchmark problems with various real-word scenarios. The experimental results show that DPIM can obtain high-quality populations with good convergence and distribution in dynamic environments.
在实际应用和日常生活中,动态多目标优化问题(DMOPs)无处不在。处理DMOPs的目的是跟踪移动的帕累托前沿(PF)并在不同时间找到一系列帕累托集(PS)。基于预测的策略提高了多目标进化算法在动态环境中的性能。然而,如何确保预测模型的准确性始终是一个挑战。在本研究中,开发了一种带有逆模型的双重预测策略(DPIM),以减轻不准确预测的负面影响。当确认发生变化时,DPIM通过预测目标空间中的个体来做出响应。此外,建立逆模型以连接决策空间和目标空间,这可以指导搜索有前景的决策区域。具体而言,还对逆模型进行预测,以最小化将种群从目标空间映射回决策空间过程中的误差。通过与四种有效的动态多目标进化算法(DMOEAs)在具有各种实际场景的14个基准问题上进行比较,证明了所提出的DPIM的有效性。实验结果表明,DPIM能够在动态环境中获得具有良好收敛性和分布性的高质量种群。