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Inverse truss design as a conic mathematical program with equilibrium constraints
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SYSNO ASEP 0477818 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Inverse truss design as a conic mathematical program with equilibrium constraints Author(s) Kočvara, Michal (UTIA-B) RID, ORCID
Outrata, Jiří (UTIA-B) RID, ORCIDSource Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 10, č. 6 (2017), s. 1329-1350Number of pages 22 s. Publication form Print - P Language eng - English Country US - United States Keywords conic optimization ; truss topology optimization ; mathematical programs with equilibrium constraints Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects GA15-00735S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000423844000007 EID SCOPUS 85021051439 DOI 10.3934/dcdss.2017071 Annotation We formulate an inverse optimal design problem as a Mathematical Programming problem with Equilibrium Constraints (MPEC). The equilibrium constraints are in the form of a second-order conic optimization problem. Using the so-called Implicit Programming technique, we reformulate the bilevel optimization problem as a single-level nonsmooth nonconvex problem. The major part of the article is devoted to the computation of a subgradient of the resulting composite objective function. The article is concluded by numerical examples demonstrating, for the first time, that the Implicit Programming technique can be efficiently used in the numerical solution of MPECs with conic constraints on the lower level. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
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