Publication detail
Two approaches to multi-criteria stochastic programming in beam design problem
MRÁZKOVÁ, E. POPELA, P.
Czech title
Dva přístupy k vícekriteriálnímu stochastickému programování v úloze o návrhu nosníku
English title
Two approaches to multi-criteria stochastic programming in beam design problem
Type
conference paper
Language
en
Original abstract
Multi-criteria stochastic programming approach is applied to a problem concerning an optimal design of beam dimensions. The corresponding mathematical model involves two criteria, an ODE-type constraint and an uncertain parameter related to the material characteristics. Two approaches to solving multi-criteria optimization problems are discussed in this paper. The first approach results in efficient frontier construction. The second method employs the weighted sum of multiple objectives. Finally, a parametric analysis with respect to the weighting coefficients is presented and three types of solutions are obtained.
Czech abstract
Úloha optimálního návrhu rozměrů nosníku je řešena pomocí vícekriteriálního stochastického programování. Matematický model obsahuje dvě kritéria, omezení ve tvaru ODR a náhodnost spojenou s materiálovou charakteristikou. První přístup vede ke konstrukci eficientní hranice. Druhá metoda využívá váženého souštu kritérií. Je provedna parametrická analýza vzhledem k váhovým koeficientům.
English abstract
Multi-criteria stochastic programming approach is applied to a problem concerning an optimal design of beam dimensions. The corresponding mathematical model involves two criteria, an ODE-type constraint and an uncertain parameter related to the material characteristics. Two approaches to solving multi-criteria optimization problems are discussed in this paper. The first approach results in efficient frontier construction. The second method employs the weighted sum of multiple objectives. Finally, a parametric analysis with respect to the weighting coefficients is presented and three types of solutions are obtained.
Keywords in Czech
stochastické programování, vícekriteriální optimalizace, eficientní hranice, metoda váženého součtu, návrh nosníku
Keywords in English
stochastic programming, multi-criteria optimization, efficient frontier, weigthed sum approach, beam design
RIV year
2012
Released
27.06.2012
Publisher
VUT
Location
Brno
ISBN
978-80-214-4540-6
ISSN
1803-3814
Book
18th International Conference of Soft Computing, MENDEL 2012 (id 19255)
Volume
2012
Number
1
Edition number
1
Pages from–to
393–397
Pages count
5
BIBTEX
@inproceedings{BUT93649,
author="Eva {Mrázková} and Pavel {Popela},
title="Two approaches to multi-criteria stochastic programming in beam design problem",
booktitle="18th International Conference of Soft Computing, MENDEL 2012 (id 19255)",
year="2012",
volume="2012",
number="1",
month="June",
pages="393--397",
publisher="VUT",
address="Brno",
isbn="978-80-214-4540-6",
issn="1803-3814"
}