About: Optimum Beam Design via Stochastic Programming

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The purpose of the paper is to discuss the applicability of stochastic programming models and methods to civil engineering design problems. In cooperation with experts in civil engineering, the problem concerning an optimal design of beam dimensions has been chosen. The corresponding mathematical model involves an ODE-type constraint, uncertain parameter related to the material characteristics and multiple criteria. As a result, a multi-criteria stochastic nonlinear optimization model is obtained. It has been shown that two-stage stochastic programming offers a promising approach to solving similar problems. A computational scheme for this type of problems is proposed, including discretization methods for random elements and ODE constraint. An approximation is derived to implement the mathematical model and solve it in GAMS. The solution quality is determined by an interval estimate of the optimality gap computed by a Monte Carlo bounding technique. The parametric analysis of a multi-criteria model re The purpose of the paper is to discuss the applicability of stochastic programming models and methods to civil engineering design problems. In cooperation with experts in civil engineering, the problem concerning an optimal design of beam dimensions has been chosen. The corresponding mathematical model involves an ODE-type constraint, uncertain parameter related to the material characteristics and multiple criteria. As a result, a multi-criteria stochastic nonlinear optimization model is obtained. It has been shown that two-stage stochastic programming offers a promising approach to solving similar problems. A computational scheme for this type of problems is proposed, including discretization methods for random elements and ODE constraint. An approximation is derived to implement the mathematical model and solve it in GAMS. The solution quality is determined by an interval estimate of the optimality gap computed by a Monte Carlo bounding technique. The parametric analysis of a multi-criteria model re (en)
Title	Optimum Beam Design via Stochastic Programming Optimum Beam Design via Stochastic Programming (en)
skos:prefLabel	Optimum Beam Design via Stochastic Programming Optimum Beam Design via Stochastic Programming (en)
skos:notation	RIV/00216305:26210/10:PU87578!RIV11-GA0-26210___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1M06047), P(GA103/08/1658)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Popela, Pavel Žampachová, Eva Mrázek, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta strojního inženýrství
http://linked.open...dnocenehoVysledku	277435
http://linked.open...ai/riv/idVysledku	RIV/00216305:26210/10:PU87578
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	optimum engineering design, stochastic programming, multi-objective programming, Monte Carlo methods, progressive hedging algorithm (en)
http://linked.open.../riv/klicoveSlovo	Monte Carlo methods optimum engineering design progressive hedging algorithm stochastic programming multi-objective programming
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[9C8B36FFB30F]
http://linked.open...i/riv/nazevZdroje	Kybernetika
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Research Center for Quality and Reliability of Production Advanced optimum design of composed concrete structures
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	46
http://linked.open...iv/tvurceVysledku	Popela, Pavel Žampachová, Eva Mrázek, Michal
issn	0023-5954
number of pages	12 (xsd:int)
http://localhost/t...ganizacniJednotka	26210

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