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Truss topology design with integer variables made easy

Michal Kocvara(kocvara***at***maths.bham.ac.uk)

Abstract: We propose a new look at the problem of truss topology optimization with integer or binary variables. We show that the problem can be equivalently formulated as an integer \emph{linear} semidefinite optimization problem. This makes its numerical solution much easier, compared to existing approaches. We demonstrate that one can use an off-the-shelf solver with default settings and solve problems considered in the current literature too hard or even impossible to be solved.

Keywords: truss optimization, integer programming, conic programming

Category 1: Applications -- Science and Engineering (Mechanical Engineering )

Category 2: Integer Programming ((Mixed) Integer Nonlinear Programming )

Category 3: Linear, Cone and Semidefinite Programming (Semi-definite Programming )

Citation: Preprint 2010/09, School of MAthematics, University of Birmingham, UK, May 2010

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Entry Submitted: 05/13/2010
Entry Accepted: 05/13/2010
Entry Last Modified: 05/13/2010

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