Inverse truss design as a conic mathematical program with equilibrium constraints

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00477818" target="_blank" >RIV/67985556:_____/17:00477818 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdss.2017071" target="_blank" >http://dx.doi.org/10.3934/dcdss.2017071</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2017071" target="_blank" >10.3934/dcdss.2017071</a>

Result language
angličtina
Original language name
Inverse truss design as a conic mathematical program with equilibrium constraints
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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