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  • 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.
  • 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. (en)
Title
  • Two approaches to multi-criteria stochastic programming in beam design problem
  • Two approaches to multi-criteria stochastic programming in beam design problem (en)
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  • Two approaches to multi-criteria stochastic programming in beam design problem
  • Two approaches to multi-criteria stochastic programming in beam design problem (en)
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  • RIV/00216305:26210/12:PU99593!RIV13-MSM-26210___
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  • Z(MSM0021630519)
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  • 175453
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  • RIV/00216305:26210/12:PU99593
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  • stochastic programming, multi-criteria optimization, efficient frontier, weigthed sum approach, beam design (en)
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  • [12CF74FA6D32]
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  • Brno University of Technology
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  • Brno
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  • 18th International Conference of Soft Computing, MENDEL 2012 (id 19255)
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  • Popela, Pavel
  • Mrázková, Eva
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  • Vysoké učení technické v Brně
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  • 978-80-214-4540-6
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  • 26210
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