Publication detail

Two approaches to multi-criteria stochastic programming in beam design problem

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

2012

Edition number

1

ISBN

1803-3814

Periodical

Mendel Journal series

Year of study

2012

Number

1

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"
}