期刊
INFORMATION SCIENCES
卷 556, 期 -, 页码 404-435出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2020.09.073
关键词
Surrogate models; Computationally expensive; Teaching-Learning-based Optimation; Constrained
资金
- National Natural Science Foundation of China [51805436, 51875466]
- Fundamental Research Funds for the Central Universities [3102020HHZY030003]
The novel algorithm KTLBO uses Kriging to accelerate search while retaining the meta-heuristic search mechanism of TLBO. It shows significant advantages in solving expensive constrained optimization problems.
In this paper, a novel algorithm KTLBO is presented to achieve computationally expensive constrained optimization. In KTLBO, Kriging is adopted to develop dynamically updated surrogate models for costly objective and inequality constraints. A data managing method aiming at solving expensive constrained problems is developed to archive, classify and update expensive samples, where a penalty function is set to adaptively select elite individuals. Moreover, based on the Teaching-Learning-based Optimization (TLBO), a Krigingassisted two-phase optimization framework is presented to alternately conduct local and global searches. In Kriging-assisted Teaching and Learning Phases, two different prescreening operators considering the probability of feasibility are respectively proposed to select the high-quality samples around the present best solution and the samples exhibiting better space-filling performance, as an attempt to balance exploitation of surrogates and exploration of unknown area. In brief, KTLBO retains the meta-heuristic search mechanism of TLBO while adopting Kriging to accelerate its search, thereby acting as a novel idea for surrogate-assisted constrained optimization. Lastly, KTLBO is compared with 6 well-known methods on 27 benchmark cases, and then its significant advantages in expensive constrained optimization are verified. Furthermore, KTLBO is adopted to design the structure of a Blended-Wing-Body underwater glider, and the satisfactory solution is yielded. (C) 2020 Elsevier Inc. All rights reserved.
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