LSMOEA/2s:一种基于变量两阶段分组的多目标进化算法

LSMOEA/2s:A Large-Scale Multi-Objective Evolutionary Algorithm Adopting Two Stage Variable Grouping

大规模多目标优化问题(Large-Scale Multi-objective Optimization Problem,LSMOP)固有的性质给多目标进化算法(Multi-Objective Evolutionary Algorithm,MOEA)带来挑战。目前大多数大规模多目标进化算法(Large-Scale Multi-Objective Evolutionary Algorithm,LSMOEA)需要耗费较多的计算资源对大规模决策变量进行分组,使得用于优化问题解的计算资源相对不足,影响了算法效率和解题性能。基于此,本研究提出一种基于变量两阶段分组的多目标进化算法(Large-Scale Multi-Objective Evolutionary Algorithm adopting two-stage variable grouping,LSMOEA/2s)。新算法首先利用基于变量组的相关性检测方法快速识别独立变量,然后利用高频次随机分组方法将非独立变量划分成若干子组,最后利用MOEA/D算法优化所有的独立变量和非独立变量子组。将所提算法与当前4种代表性算法(MOEA/D、CCGDE3、RVEA、S3-CMA-ES)一同在LSMOP系列测试问题上进行反转世代距离(Inverted Generational Distance,IGD)性能测试,结果表明,LSMOEA/2s较其他算法具有显著的性能优势。

The inherent properties of Large-Scale Multi-objective Optimization Problem(LSMOP)bring chal-lenges to Multi-Objective Evolutionary Algorithm(MOEA).At present,most Large-Scale Multi-Objective Evolutionary Algorithm(LSMOEA)need to consume more computational resources to group large-scale decision variables,which makes the computational resources used to optimize the problem solution relatively in-sufficient,affecting the efficiency and performance of the algorithm.Base on this,a Large-Scale Multi-Objec-tive Evolutionary Algorithm adopting two-stage variable grouping(LSMOEA/2s)is proposed in this study.Firstly,the new algorithm is conducive to the correlation detection method based on variable group to quickly identify independent variables.Then,the high-frequency random grouping method is used to divide the non-independent variables into several subgroups.Finally,the MOEA/D algorithm is used to optimize all inde-pendent variables and non-independent variable subgroups.The proposed algorithm is combined with the current four representative algorithms(MOEA/D,CCGDE3,RVEA,S3-CMA-ES)to perform the inverted gen-erational distance Inverted Generational Distance(IGD)performance test on the LSMOP series test prob-lems.The results show that LSMOEA/2s has significant performance advantages over other algorithms.