The MINLP optimization in civil engineering

Authors:
Simon Šilih;Tomaž Žula;Stojan Kravanja
Affiliations:
Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia;Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia;Faculty of Civil Engineering, University of Maribor, Maribor, Slovenia
Venue:
MACMESE'07 Proceedings of the 9th WSEAS international conference on Mathematical and computational methods in science and engineering
Year:
2007

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The multilevel MINLP optimization approach to structural synthesis: the simultaneous topology, material, standard and rounded dimension optimization

Advances in Engineering Software - Special issue on design optimization

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Abstract

The paper presents the optimization of structures in civil engineering, performed by the Mixed-Integer Nonlinear Programming (MINLP) optimization approach. The MINLP is a combined continuous/discrete optimization technique, where a structural topology and standard sizes are optimized simultaneously with the continuous parameters (e.g. strains, stress, costs, mass, etc.). Discrete binary 0-1 variables are used to express the discrete decisions. For the solution of this non-linear, continuous/discrete and non-convex MINLP class of the optimization problem, the Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm is used and a two-phase MINLP strategy is applied. The optimization is performed by a user-friendly version of the MINLP computer package MIPSYN. Two examples are presented at the end of the paper.