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Global optimality conditions for quadratic 0-1 optimization problems

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Abstract

In the present work, we intend to derive conditions characterizing globally optimal solutions of quadratic 0-1 programming problems. By specializing the problem of maximizing a convex quadratic function under linear constraints, we find explicit global optimality conditions for quadratic 0-1 programming problems, including necessary and sufficient conditions and some necessary conditions. We also present some global optimality conditions for the problem of minimization of half-products.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, 200444, Shanghai, China

    Wei Chen & Liansheng Zhang

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  1. Wei Chen
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  2. Liansheng Zhang
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Correspondence to Wei Chen.

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Chen, W., Zhang, L. Global optimality conditions for quadratic 0-1 optimization problems. J Glob Optim 46, 191–206 (2010). https://doi.org/10.1007/s10898-009-9416-0

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  • DOI: https://doi.org/10.1007/s10898-009-9416-0

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