Open AccessJournal Article
A Survey of Discrete Variable Optimization for Structural Design
TLDR
In this paper, a review of structural optimization methods for discrete variable structural optimization is presented, which are classified according to three categories: branch and bound, approximations using Branch and Bound, and ad-hoc methods.Abstract:
Available methods for discrete variable structural optimization are reviewed. Methods are classified according to three categories: branch and bound, approximations using branch and bound, and ad-hoc methods. The branch and bound method is theoretically correct for convex design tasks, but is costly to use. Approximation methods provide efficiency, but do not guarantee an optimum discrete solution. Ad-hoc methods attempt to solve the discrete variable problem without resorting to branch and bound methods and do not guarantee an optimum discrete solution. However, these latter two methods often provide a reasonable solution at an acceptable cost.read more
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Methods for optimization of nonlinear problems with discrete variables : a review
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An optimality criteria algorithm for tall steel building design using commercial standard sections
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