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MRÁZKOVÁ, E. POPELA, P.
Original Title
Two approaches to multi-criteria stochastic programming in beam design problem
Type
conference paper
Language
English
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.
Keywords
stochastic programming, multi-criteria optimization, efficient frontier, weigthed sum approach, beam design
Authors
MRÁZKOVÁ, E.; POPELA, P.
RIV year
2012
Released
27. 6. 2012
Publisher
VUT
Location
Brno
ISBN
978-80-214-4540-6
Book
18th International Conference of Soft Computing, MENDEL 2012 (id 19255)
Edition
Edition number
1
1803-3814
Periodical
Mendel Journal series
Year of study
Number
State
Czech Republic
Pages from
393
Pages to
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", series="2012", journal="Mendel Journal series", volume="2012", number="1", pages="393--397", publisher="VUT", address="Brno", isbn="978-80-214-4540-6", issn="1803-3814" }