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Decomposition methods for solving nonconvex quadratic programs via branch and bound. (English) Zbl 1093.90034
Summary: The aim of this paper is to suggest branch and bound schemes, based on a relaxation of the objective function, to solve nonconvex quadratic programs over a compact polyhedral feasible region. The various schemes are based on different d.c. decomposition methods applied to the quadratic objective function. To improve the tightness of the relaxations, we also suggest solving the relaxed problems with an algorithm based on the so called “optimal level solutions” parametrical approach.

MSC:
90C20Quadratic programming
90C26Nonconvex programming, global optimization
90C31Sensitivity, stability, parametric optimization
90C57Polyhedral combinatorics, branch-and-bound, branch-and-cut
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References:
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