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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 2/2011

01.02.2011 | Research Paper

Global optima for the Zhou–Rozvany problem

verfasst von: Mathias Stolpe, Martin P. Bendsøe

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2011

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Abstract

We consider the minimum compliance topology design problem with a volume constraint and discrete design variables. In particular, our interest is to provide global optimal designs to a challenging benchmark example proposed by Zhou and Rozvany. Global optimality is achieved by an implementation of a local branching method in which the subproblems are solved by a special purpose nonlinear branch-and-cut algorithm. The convergence rate of the branch-and-cut method is improved by strengthening the problem formulation with valid linear inequalities and variable fixing techniques. With the proposed algorithms, we find global optimal designs for several values on the available volume. These designs can be used to validate other methods and heuristics for the considered class of problems.
Nächster Artikel Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

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Fußnoten
1
There is an ambiguity with the word node, since it can also refer to a finite element node. Throughout this paper, unless explicitly stated, a node refers to a part of the enumeration tree.
 
2
By hidden solutions, we mean optimal designs that are found, by the heuristics, at great depths in the search tree.
 
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Metadaten
Titel
Global optima for the Zhou–Rozvany problem
verfasst von
Mathias Stolpe
Martin P. Bendsøe
Publikationsdatum
01.02.2011
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 2/2011
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-010-0574-y

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