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- Title
2×2-Convexifications for convex quadratic optimization with indicator variables.
- Authors
Han, Shaoning; Gómez, Andrés; Atamtürk, Alper
- Abstract
In this paper, we study the convex quadratic optimization problem with indicator variables. For the 2 × 2 case, we describe the convex hull of the epigraph in the original space of variables, and also give a conic quadratic extended formulation. Then, using the convex hull description for the 2 × 2 case as a building block, we derive an extended SDP relaxation for the general case. This new formulation is stronger than other SDP relaxations proposed in the literature for the problem, including the optimal perspective relaxation and the optimal rank-one relaxation. Computational experiments indicate that the proposed formulations are quite effective in reducing the integrality gap of the optimization problems.
- Subjects
NONCONVEX programming; SEMIDEFINITE programming; INTEGER programming; QUADRATIC programming; GLOBAL optimization
- Publication
Mathematical Programming, 2023, Vol 202, Issue 1/2, p95
- ISSN
0025-5610
- Publication type
Article
- DOI
10.1007/s10107-023-01924-w