Publication detail

Stochastic optimization of a reinforced concrete elements using heuristic algorithm

VENCLOVSKÝ, J. ŠTĚPÁNEK, P. LANÍKOVÁ, I.

Original Title

Stochastic optimization of a reinforced concrete elements using heuristic algorithm

English Title

Stochastic optimization of a reinforced concrete elements using heuristic algorithm

Type

conference paper

Language

en

Original Abstract

It is possible to see various applications of mathematical optimization in civil engineering (structural design, reconstruction of transportation networks etc.) Initially, deterministic approaches have been introduced to solve these problems. But despite their complexity, these approaches are insufficient to comprehend the probabilistic nature of said problems and thus provide only suboptimal solutions. Hence the effort comes to reconsider these deterministic approaches and deal with uncertainties involved in said problems in less straightforward way. The goal of the paper is to present the algorithm for stochastic optimization of design of steel-reinforced concrete cross-section. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. Firstly, the deterministic problem is introduced and described. It is followed by the description of uncertainties, which are involved in the process, and stochastic reformulation of the problem. Then the algorithm itself is introduced and the paper ends with presentation of the results of performed calculations.

English abstract

It is possible to see various applications of mathematical optimization in civil engineering (structural design, reconstruction of transportation networks etc.) Initially, deterministic approaches have been introduced to solve these problems. But despite their complexity, these approaches are insufficient to comprehend the probabilistic nature of said problems and thus provide only suboptimal solutions. Hence the effort comes to reconsider these deterministic approaches and deal with uncertainties involved in said problems in less straightforward way. The goal of the paper is to present the algorithm for stochastic optimization of design of steel-reinforced concrete cross-section. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. Firstly, the deterministic problem is introduced and described. It is followed by the description of uncertainties, which are involved in the process, and stochastic reformulation of the problem. Then the algorithm itself is introduced and the paper ends with presentation of the results of performed calculations.

Keywords

Deterministic optimization, stochastic optimization, structural design

Released

28.02.2018

Publisher

Trans Tech Publications

Location

Switzerland

Pages from

262

Pages to

269

Pages count

8

URL

BibTex


@inproceedings{BUT144981,
  author="Jakub {Venclovský} and Petr {Štěpánek} and Ivana {Laníková}",
  title="Stochastic optimization of a reinforced concrete elements using heuristic algorithm",
  annote="It is possible to see various applications of mathematical optimization in civil engineering (structural design, reconstruction of transportation networks etc.) Initially, deterministic approaches have been introduced to solve these problems. But despite their complexity, these approaches are insufficient to comprehend the probabilistic nature of said problems and thus provide only suboptimal solutions. Hence the effort comes to reconsider these deterministic approaches and deal with uncertainties involved in said problems in less straightforward way.

The goal of the paper is to present the algorithm for stochastic optimization of design of steel-reinforced concrete cross-section. This algorithm is based on internal cycle of deterministic optimization using reduced gradient method and external cycle of stochastic optimization using regression analysis. Firstly, the deterministic problem is introduced and described. It is followed by the description of uncertainties, which are involved in the process, and stochastic reformulation of the problem. Then the algorithm itself is introduced and the paper ends with presentation of the results of performed calculations.",
  address="Trans Tech Publications",
  booktitle="24th Concrete Days 2017",
  chapter="144981",
  doi="10.4028/www.scientific.net/SSP.272.262",
  howpublished="online",
  institution="Trans Tech Publications",
  year="2018",
  month="february",
  pages="262--269",
  publisher="Trans Tech Publications",
  type="conference paper"
}