Pseudo-feasible solutions in evolutionary bilevel optimization: Test problems and performance assessment

作者:

Highlights:

• Theoretical study on the existence of pseudo-feasible solutions in bilevel optimization.

• Test problems are proposed to assess, via an empirical study, the performance of state-of-the-art evolutionary algorithms.

• Conditions to identify pseudo-feasible solutions and also exemplify its usage.

• Studying pseudo-feasible solutions provides more information about bilevel optimization problems.

• More robust proposals (test problems, algorithms, bilevel mathematical models, etc.) can be designed in the future.

摘要

•Theoretical study on the existence of pseudo-feasible solutions in bilevel optimization.•Test problems are proposed to assess, via an empirical study, the performance of state-of-the-art evolutionary algorithms.•Conditions to identify pseudo-feasible solutions and also exemplify its usage.•Studying pseudo-feasible solutions provides more information about bilevel optimization problems.•More robust proposals (test problems, algorithms, bilevel mathematical models, etc.) can be designed in the future.

论文关键词:Bilevel optimization,Evolutionary algorithms,Performance comparison,

论文评审过程:Received 24 February 2021, Revised 24 June 2021, Accepted 29 July 2021, Available online 16 August 2021, Version of Record 16 August 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126577