Robust Truss Topology Optimization via Semidefinite Programming with Complementarity Constraints: A Difference-of-Convex Programming Approach
Optimization and Control
2019-01-25 v2
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 convex-concave procedure for DC (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.
Cite
@article{arxiv.1711.02351,
title = {Robust Truss Topology Optimization via Semidefinite Programming with Complementarity Constraints: A Difference-of-Convex Programming Approach},
author = {Yoshihiro Kanno},
journal= {arXiv preprint arXiv:1711.02351},
year = {2019}
}