Application of Reduced-set Pareto-Lipschitzian Optimization to truss optimization

Jonas Mockus (), Remigijus Paulavičius (), Dainius Rusakevičius (), Dmitrij Šešok () and Julius Žilinskas ()
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Jonas Mockus: Vilnius University Institute of Mathematics and Informatics
Remigijus Paulavičius: Vilnius University Institute of Mathematics and Informatics
Dainius Rusakevičius: Vilnius Gediminas Technical University
Dmitrij Šešok: Vilnius Gediminas Technical University
Julius Žilinskas: Vilnius University Institute of Mathematics and Informatics

Journal of Global Optimization, 2017, vol. 67, issue 1, No 20, 425-450

Abstract: Abstract In this paper, a recently proposed global Lipschitz optimization algorithm Pareto-Lipschitzian Optimization with Reduced-set (PLOR) is further developed, investigated and applied to truss optimization problems. Partition patterns of the PLOR algorithm are similar to those of DIviding RECTangles (DIRECT), which was widely applied to different real-life problems. However here a set of all Lipschitz constants is reduced to just two: the maximal and the minimal ones. In such a way the PLOR approach is independent of any user-defined parameters and balances equally local and global search during the optimization process. An expanded list of other well-known DIRECT-type algorithms is used in investigation and experimental comparison using the standard test problems and truss optimization problems. The experimental investigation shows that the PLOR algorithm gives very competitive results to other DIRECT-type algorithms using standard test problems and performs pretty well on real truss optimization problems.

Keywords: Truss optimization; Lipschitz optimization; PLOR algorithm; DIRECT algorithm (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-015-0364-6

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