Development of a hybrid algorithm for efficiently solving mixed integer-continuous optimization problems

Liu, Dianzi (2016) Development of a hybrid algorithm for efficiently solving mixed integer-continuous optimization problems. Applied and Computational Mathematics, 5 (3). pp. 107-113. ISSN 2328-5605

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Abstract

Problems with mixed integer-continuous design variables are a class of complicated optimization problems that commonly exist in practical engineering design work. In this paper, a hybrid algorithm combining metamodel-based Multipoint Approximation Method (MAM) and Hooke-Jeeves direct search technique is presented to efficiently seek the optimum solutions for mixed integer-continuous optimization problems. First, optimal continuous values are obtained by the Sequential Quadratic Programming method (SQP) on the approximated functions in a current trust region. Then, continuous values are rounded to the nearest integer values for discrete variables. Utilizing integer values as a starting point, the Hooke-Jeeves assisted MAM is applied to search for the discrete optimal solution in the sub-space of discrete variables as well as accordingly update the sub-optimal values for continuous design variables by SQP. The proposed hybrid algorithm is examined by the well established benchmark example and the obtained results demonstrate the superiority of the developed algorithm over GA in terms of computational cost and the quality of solutions.

Item Type:	Article
Uncontrolled Keywords:	integer-continuous optimization,multipoint approximation method,metamodel,direct search,hybrid algorithm
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Sustainable Energy Faculty of Science > Research Groups > Materials, Manufacturing & Process Modelling
Depositing User:	Pure Connector
Date Deposited:	14 Oct 2016 09:00
Last Modified:	19 Nov 2024 01:18
URI:	https://ueaeprints.uea.ac.uk/id/eprint/60928
DOI:	10.11648/j.acm.20160503.13

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