The ESO method revisited

Ghabraie, Kazem (2015) The ESO method revisited. Structural and Multidisciplinary Optimization, 51 (6). pp. 1211-1222. ISSN 1615-147X


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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © Springer-Verlag Berlin Heidelberg 2014. Permanent restricted access to published version due to publisher copyright policy.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 - 31 Dec 2021)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 - 31 Dec 2021)
Date Deposited: 31 Mar 2015 23:55
Last Modified: 14 Jul 2015 01:41
Uncontrolled Keywords: bidirectional evolutionary structural optimization; BESO; compliance design; evolutionary structural optimization; ESO; hard-kill methods; sensitivity analysis; sequential element rejection and admission; SERA
Fields of Research (2008): 01 Mathematical Sciences > 0105 Mathematical Physics > 010506 Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter
09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490206 Statistical mechanics, physical combinatorics and mathematical aspects of condensed matter
40 ENGINEERING > 4005 Civil engineering > 400510 Structural engineering
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490304 Optimisation
Socio-Economic Objectives (2008): B Economic Development > 87 Construction > 8703 Construction Materials Performance and Processes > 870399 Construction Materials Performance and Processes not elsewhere classified
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