Hierarchical differential evolution algorithm combined with multi-cross operation

作者：

Highlights：

• A two-layer hierarchical differential evolution (DE) algorithm is proposed.

• Success-history-based adaptive DE (SHADE) is implemented in the bottom layer.

• Multi-cross operation (MCO) is implemented in the top layer.

• The first-order stability is analyzed without a stagnation assumption.

• The proposed DE yields more accurate solutions for 30- and 50-dimensional problems.

摘要

•A two-layer hierarchical differential evolution (DE) algorithm is proposed.•Success-history-based adaptive DE (SHADE) is implemented in the bottom layer.•Multi-cross operation (MCO) is implemented in the top layer.•The first-order stability is analyzed without a stagnation assumption.•The proposed DE yields more accurate solutions for 30- and 50-dimensional problems.

论文关键词：Differential evolution,Particle swarm optimization,Hierarchical structure,Multi-cross operation

论文评审过程：Received 12 June 2018, Revised 17 April 2019, Accepted 17 April 2019, Available online 18 April 2019, Version of Record 29 April 2019.

论文官网地址：https://doi.org/10.1016/j.eswa.2019.04.040