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A computational intelligence algorithm for expensive engineering optimization problems
Authors:Yoel Tenne
Affiliation:1. Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran;2. The Center of Excellence on Modelling and Control Systems (CEMCS), Ferdowsi University of Mashhad, Mashhad, Iran;3. Department of Mathematics, University of Central Florida, Orlando FL 32816-1364, USA;1. Nanoscience and Nanotechnology Laboratory, School of Physics, Devi Ahilya University, Vigyan Bhawan, Takshshila Campus, Khandwa Road, Indore 452001, India;2. Defence Research & Development Organization (DRDO), Metcalfe House DRDO DESIDOC Complex, Delhi 110054, India;1. Bergische Universität Wuppertal, FB C – Mathematik und Naturwissenschaften, Gaußstraße 20, 42119 Wuppertal, Germany;2. Michigan Technological University, Department of Physics, Houghton, MI 49931, USA
Abstract:The modern engineering design optimization process often replaces laboratory experiments with computer simulations, which leads to expensive black-box optimization problems. Such problems often contain candidate solutions which cause the simulation to fail, and therefore they will have no objective value assigned to them, a scenario which degrades the search effectiveness. To address this, this paper proposes a new computational intelligence optimization algorithm which incorporates a classifier into the optimization search. The classifier predicts which solutions are expected to cause a simulation failure, and its prediction is used to bias the search towards solutions for which the simulation is expected to succeed. To further enhance the search effectiveness, the proposed algorithm continuously adapts during the search the type of model and classifier being used. A rigorous performance analysis using a representative application of airfoil shape optimization shows that the proposed algorithm outperformed existing approaches in terms of the final result obtained, and performed a search with a competitively low number of failed evaluations. Analysis also highlights the contribution of incorporating the classifier into the search, and of the model and classifier selection steps.
Keywords:
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