Optimal design of truss structures by logic-based branch and cut

Optimal design of truss structures by logic-based branch and cut

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Article ID: iaor20021771
Country: United States
Volume: 49
Issue: 1
Start Page Number: 42
End Page Number: 51
Publication Date: Jan 2001
Journal: Operations Research
Authors: , ,
Keywords: programming: integer
Abstract:

The truss design problem is to find the optimal placement and size of structural bars that can support a given load. The problem is nonlinear and, in the version addressed here, the bars must take certain discrete sizes. It is shown that a logic-based method that dispenses with integer variables and branches directly on logical disjunctions can solve substantially larger problems than mixed integer programming, even though the nonlinearities disappear in the mixed integer model. A primary purpose of the paper is to investigate whether advantages of logic-based branching that have been demonstrated elsewhere for linear problems extend to nonlinear programming.

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