Inverse truss design as a conic mathematical program with equilibrium constraints

0477818 - ÚTIA 2018 RIV US eng J - Journal Article
Kočvara, Michal - Outrata, Jiří
Inverse truss design as a conic mathematical program with equilibrium constraints.
Discrete and Continuous Dynamical systems - Series S. Roč. 10, č. 6 (2017), s. 1329-1350. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA ČR GA15-00735S
Institutional support: RVO:67985556
Keywords : conic optimization * truss topology optimization * mathematical programs with equilibrium constraints
OECD category: Applied mathematics
Impact factor: 0.561, year: 2017
http://library.utia.cas.cz/separaty/2017/MTR/kocvara-0477818.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0274044