Wu, L., Liu, Z., Wei, H.-L. orcid.org/0000-0002-4704-7346 et al. (1 more author) (2021) An efficient bilevel differential evolution algorithm with adaptation of lower level population size and search radius. Memetic Computing, 13 (2). pp. 227-247. ISSN 1865-9284
Abstract
Bilevel optimization has been recognized as one of the most difficult and challenging tasks to deal with because a solution to the upper level problem may be feasible only if it is also an optimal solution to the lower level problem. In recent years, evolutionary bilevel optimization has attracted increasing interest. In this paper, an efficient self-adaptive bilevel differential evolution (SABiLDE) with k-nearest neighbors (kNN) based interpolation is proposed to solve bilevel optimization problems. The kNN approximation is applied to estimate the optimal lower level variables for any newly generated upper candidates to improve the computational efficiency. A similarity based self-adaptive strategy for the dynamic control of lower level population size and search radius is introduced to further enhance the efficiency of the lower level function evaluations. A test set with 10 standard test problems and the SMD suite with controllable complexities are used to evaluate the performance of the proposed approach. Compared with four recent state-of-the-art methods, the numerical results produced by the proposed method are promising and show great potential for solving generic bilevel optimization problems.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2021 The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature. This is an author-produced version of a paper subsequently published in Memetic Computing. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Bilevel optimization; Differential evolution; K-Nearest neighbors learning; Self-adaptive strategy |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL EP/I011056/1 ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL EP/H00453X/1 NATURAL ENVIRONMENT RESEARCH COUNCIL NE/V002511/1 EUROPEAN COMMISSION - HORIZON 2020 PROGRESS - 637302 NATURAL ENVIRONMENT RESEARCH COUNCIL NE/V001787/1 EUROPEAN SPACE AGENCY 4000128541/19/NL/HK |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 02 Jun 2021 16:32 |
Last Modified: | 23 May 2022 00:38 |
Status: | Published |
Publisher: | Springer Nature |
Refereed: | Yes |
Identification Number: | 10.1007/s12293-021-00335-8 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:174731 |