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arXiv · 1712.03385

Alternating Direction Method of Multipliers for Truss Topology Optimization with Limited Number of Nodes: A Cardinality-Constrained Second-Order Cone Programming Approach

Yoshihiro Kanno·Shinnosuke Fujita
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Abstract

This paper addresses the compliance minimization of a truss, where the number of available nodes is limited. It is shown that this optimization problem can be recast as a second-order cone programming with a cardinality constraint. We propose a simple heuristic based on the alternative direction method of multipliers. The efficiency of the proposed method is compared with a global optimization approach based on mixed-integer second-order cone programming. Numerical experiments demonstrate that the proposed method often finds a solution having a good objective value with small computational cost.

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Yoshihiro Kanno, Shinnosuke Fujita. 2017-12-09. Alternating Direction Method of Multipliers for Truss Topology Optimization with Limited Number of Nodes: A Cardinality-Constrained Second-Order Cone Programming Approach. https://doi.org/10.1007/s11081-017-9372-3

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