Journals / Turkish Journal of Engineering and Environmental Sciences / 2001 / Cilt: 25 - Sayı: 2

A Comparative Study of Multiobjective Optimization Methods in Structural Design

Pages
69–78
DOI
—

Abstract

The computational algorithms of different multiobjective optimization techniques and their applications to structural systems are presented. The weighting, e -constraint, goal programming and modified game theory methods are described along with a comparative study of the results. The conflicting nature of the objective functions is studied through two multiobjective optimization problems. Specifically, the design of a 25-bar space truss and that of a satellite with flexible appendages are considered in numerical studies. The results from the multiobjective optimization methods are evaluated in terms of a supercriterion. It is concluded that the results obtained using the goal programming and modified game theory/goal programming approaches are properly balanced yielding the best compromise in the presence of conflicting objectives.

Özet

The computational algorithms of different multiobjective optimization techniques and their applications to structural systems are presented. The weighting, e -constraint, goal programming and modified game theory methods are described along with a comparative study of the results. The conflicting nature of the objective functions is studied through two multiobjective optimization problems. Specifically, the design of a 25-bar space truss and that of a satellite with flexible appendages are considered in numerical studies. The results from the multiobjective optimization methods are evaluated in terms of a supercriterion. It is concluded that the results obtained using the goal programming and modified game theory/goal programming approaches are properly balanced yielding the best compromise in the presence of conflicting objectives.

Keywords: Multiobjective optimization, objective function, structural design, supercriterion.