0477818 20240103214501.220170912235959.9 85021051439 000423844000007 10.3934/dcdss.2017071 22 s. P cav_un_epca*03102861937-1632Series S106 (2017)1329-1350AIMS Press conic optimization truss topology optimization mathematical programs with equilibrium constraints cav_un_auth*0101131 Kočvara Michal Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101173 Outrata Jiří Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/MTR/kocvara-0477818.pdf cav_un_auth*0321507 GA15-00735S GA ČR 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. BA 10000 10100 10102 2018 RVO:67985556 http://hdl.handle.net/11104/0274044 S 3+4 Article Mathematics Applied 3+4 Article Mathematics Applied 3+4 Article Mathematics Applied MATHEMATICS.APPLIED 0.711 0.139 4.7 0.00276 0.459 509 0.602 0.551 79 Q4 28.949 13.3 Q3 Q2 0.56 Q3 13.294 2017 85021051439 SCOPUS PUBMED 000423844000007 WOS cav_un_epca*0310286 Discrete and Continuous Dynamical systems - Series S Series S 1937-1632 1937-1179 Roč. 10 č. 6 2017 1329 1350 AIMS Press