6533b7d6fe1ef96bd1266542

RESEARCH PRODUCT

Constraint handling in efficient global optimization

Samineh BagheriDomenico QuagliarellaJonathan E. FieldsendWolfgang KonenJürgen BrankeKalyanmoy DebKarthik SindhyaRichard Allmendinger

subject

Mathematical optimizationConstraint optimizationOptimization problemL-reduction0211 other engineering and technologiesGaussian processes02 engineering and technologyexpensive optimizationMulti-objective optimizationEngineering optimizationSurrogate modelsKriging0202 electrical engineering electronic engineering information engineeringMulti-swarm optimizationGlobal optimization/dk/atira/pure/subjectarea/asjc/1700/1712constraint optimizationMathematicsta113EGO/dk/atira/pure/subjectarea/asjc/1700/1706Expensive optimization021103 operations researchConstrained optimizationComputer Science Applicationssurrogate modelsKrigingComputational Theory and Mathematics020201 artificial intelligence & image processing/dk/atira/pure/subjectarea/asjc/1700/1703Software

description

Real-world optimization problems are often subject to several constraints which are expensive to evaluate in terms of cost or time. Although a lot of effort is devoted to make use of surrogate models for expensive optimization tasks, not many strong surrogate-assisted algorithms can address the challenging constrained problems. Efficient Global Optimization (EGO) is a Kriging-based surrogate-assisted algorithm. It was originally proposed to address unconstrained problems and later was modified to solve constrained problems. However, these type of algorithms still suffer from several issues, mainly: (1) early stagnation, (2) problems with multiple active constraints and (3) frequent crashes. In this work, we introduce a new EGO-based algorithm which tries to overcome these common issues with Kriging optimization algorithms. We apply the proposed algorithm on problems with dimension d < 4from the G-function suite [16] and on an airfoil shape example.

https://doi.org/10.1145/3071178.3071278