Robust truss topology optimization via semidefinite programming with complementarity constraints: a difference-of-convex programming approach

Yoshihiro Kanno ()
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Yoshihiro Kanno: The University of Tokyo

Computational Optimization and Applications, 2018, vol. 71, issue 2, No 5, 403-433

Abstract: Abstract The robust truss topology optimization against the uncertain static external load can be formulated as mixed-integer semidefinite programming. Although a global optimal solution can be computed with a branch-and-bound method, it is very time-consuming. This paper presents an alternative formulation, semidefinite programming with complementarity constraints, and proposes an efficient heuristic. The proposed method is based upon the concave–convex procedure for difference-of-convex programming. It is shown that the method can often find a practically reasonable truss design within the computational cost of solving some dozen of convex optimization subproblems.

Keywords: Robust optimization; Design-dependent load; Complementarity constraint; Semidefinite programming; Difference-of-convex programming; Concave–convex procedure (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10589-018-0013-3

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