Detail publikačního výsledku

CHANCE CONSTRAINED STOCHASTIC PROGRAMMING IN DESIGN OF A FRAME STRUCTURE

MRÁZKOVÁ, E.

Originální název

CHANCE CONSTRAINED STOCHASTIC PROGRAMMING IN DESIGN OF A FRAME STRUCTURE

Anglický název

CHANCE CONSTRAINED STOCHASTIC PROGRAMMING IN DESIGN OF A FRAME STRUCTURE

Druh

Článek WoS

Originální abstrakt

A civil engineering problem concerning the optimal design of a loaded frame structure with a random Young's modulus is discussed. The developed multi-criteria optimization model involves ODE-type constraints and also one chance constraint related to the structure's reliability. A computational scheme for this type of problem is proposed using the finite difference method for the approximation of the ODE constraint and the scenario-based approach for random variable approximation. The chance constraint is handled by two approaches-the analytical approach and penalty reformulation. A posteriori check of satisfying the chance constraint is made, and the upper bounds of the obtainable reliability are computed.

Anglický abstrakt

A civil engineering problem concerning the optimal design of a loaded frame structure with a random Young's modulus is discussed. The developed multi-criteria optimization model involves ODE-type constraints and also one chance constraint related to the structure's reliability. A computational scheme for this type of problem is proposed using the finite difference method for the approximation of the ODE constraint and the scenario-based approach for random variable approximation. The chance constraint is handled by two approaches-the analytical approach and penalty reformulation. A posteriori check of satisfying the chance constraint is made, and the upper bounds of the obtainable reliability are computed.

Klíčová slova

Optimal engineering design, Stochastic programming, Chance constrained optimization, Ordinary differential equations

Klíčová slova v angličtině

Optimal engineering design, Stochastic programming, Chance constrained optimization, Ordinary differential equations

Autoři

MRÁZKOVÁ, E.

Vydáno

30.04.2025

Periodikum

Civil Engineering Journal-Stavebni Obzor

Svazek

1

Číslo

34

Stát

Česká republika

Strany od

1

Strany do

11

Strany počet

11

URL

https://ojs.cvut.cz/ojs/index.php/cej/article/view/9836/7351

BibTex

@article{BUT199031,
  author="{} and Eva {Mrázková}",
  title="CHANCE CONSTRAINED STOCHASTIC PROGRAMMING IN DESIGN OF A FRAME STRUCTURE",
  journal="Civil Engineering Journal-Stavebni Obzor",
  year="2025",
  volume="1",
  number="34",
  pages="1--11",
  doi="10.14311/CEJ.2025.01.0001",
  issn="1210-4027",
  url="https://ojs.cvut.cz/ojs/index.php/cej/article/view/9836/7351"
}