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The ESO method revisited

journal contribution
posted on 2015-12-20, 00:00 authored by Kazem GhabraieKazem Ghabraie
This paper examines the evolutionary structural optimisation (ESO) method and its shortcomings. By proposing a problem statement for ESO followed by an accurate sensitivity analysis a framework is presented in which ESO is mathematically justifiable. It is shown that when using a sufficiently accurate sensitivity analysis, ESO method is not prone to the problem proposed by Zhou and Rozvany (Struct Multidiscip Optim 21(1):80–83, 2001). A complementary discussion on previous communications about ESO and strategies to overcome the Zhou-Rozvany problem is also presented. Finally it is shown that even the proposed rigorous ESO approach can result in highly inefficient local optima. It is discussed that the reason behind this shortcoming is ESO’s inherent unidirectional approach. It is thus concluded that the ESO method should only be used on a very limited class of optimisation problems where the problem’s constraints demand a unidirectional approach to final solutions. It is also discussed that the Bidirectional ESO (BESO) method is not prone to this shortcoming and it is suggested that the two methods be considered as completely separate optimisation techniques.

History

Journal

Structural and multidisciplinary optimization

Volume

51

Issue

6

Pagination

1211 - 1224

Publisher

Springer

Location

Berlin, Germany

ISSN

1615-147X

eISSN

1615-1488

Language

eng.

Publication classification

C Journal article; C1.1 Refereed article in a scholarly journal

Copyright notice

2015,Springer-Verlag Berlin Heidelberg