The two-archive 2 algorithm(Two_Arch2)is a many-objective evolutionary algorithm for balancing the convergence,diversity,and complexity using diversity archive(DA)and con-vergence archive(CA).However,the individuals in DA are selec-ted based on the traditional Pareto dominance which decreases the selection pressure in the high-dimensional problems.The traditional algorithm even cannot converge due to the weak se-lection pressure.Meanwhile,Two_Arch2 adopts DA as the out-put of the algorithm which is hard to maintain diversity and cov-erage of the final solutions synchronously and increase the com-plexity of the algorithm.To increase the evolutionary pressure of the algorithm and improve distribution and convergence of the final solutions,an ε-domination based Two_Arch2 algorithm(ε-Two_Arch2)for many-objective problems(MaOPs)is proposed in this paper.In ε-Two_Arch2,to decrease the computational complexity and speed up the convergence,a novel evolutionary framework with a fast update strategy is proposed;to increase the selection pressure,ε-domination is assigned to update the individuals in DA;to guarantee the uniform distribution of the solution,a boundary protection strategy based on Iε+indicator is designated as two steps selection strategies to update individu-als in CA.To evaluate the performance of the proposed al-gorithm,a series of benchmark functions with different numbers of objectives is solved.The results demonstrate that the pro-posed method is competitive with the state-of-the-art multi-ob-jective evolutionary algorithms and the efficiency of the al-gorithm is significantly improved compared with Two_Arch2.

WU Tianwei;AN Siguang;HAN Jianqiang;SHENTU Nanying

College of Mechanical and Electrical Engineering,China Jiliang University,Hangzhou 310018,China;Key Laboratory of Intelligent Manufacturing Quality Big Data Tracing and Analysis of Zhejiang Province,China Jilang University,Hangzhou 310018,China

系统工程与电子技术（英文版）

[1]WU Tianwei;AN Siguang;HAN Jianqiang;SHENTU Nanying-.An ε-domination based two-archive 2 algorithm for many-objective optimization)[J].系统工程与电子技术（英文版）,2022(01):156-169

Arch2,MaOPs,+indicator,individu

An,domination,two,archive,many,optimization,Two,evolutionary,balancing,convergence,diversity,complexity,using,DA,CA,However,individuals,traditional,Pareto,dominance,which,decreases,selection,pressure,high,dimensional,problems,even,cannot,due,weak,Meanwhile,adopts,out,hard,maintain,cov,erage,final,solutions,synchronously,increase,To,distribution,proposed,this,paper,In,computational,speed,novel,framework,fast,update,strategy,assigned,guarantee,uniform,boundary,protection,designated,steps,strategies,evaluate,performance,series,benchmark,functions,different,numbers,objectives,solved,results,demonstrate,that,method,competitive,state,art,multi,algorithms,efficiency,significantly,improved,compared

0.3612