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An exact solution method for unconstrained quadratic 0–1 programming: a geometric approach

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  • D. Li
  • X. Sun
  • C. Liu

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  • D. Li & X. Sun & C. Liu, 2012. "An exact solution method for unconstrained quadratic 0–1 programming: a geometric approach," Journal of Global Optimization, Springer, vol. 52(4), pages 797-829, April.
    • Handle: RePEc:spr:jglopt:v:52:y:2012:i:4:p:797-829
    DOI: 10.1007/s10898-011-9713-2
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    References listed on IDEAS

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    1. Fred Glover & Eugene Woolsey, 1973. "Further Reduction of Zero-One Polynomial Programming Problems to Zero-One linear Programming Problems," Operations Research, INFORMS, vol. 21(1), pages 156-161, February.
    2. Duan Li & Xiaoling Sun, 2006. "Nonlinear Integer Programming," International Series in Operations Research and Management Science, Springer, number 978-0-387-32995-6, April.
    3. Duan Li & Xiaoling Sun & Jun Wang, 2006. "Optimal Lot Solution To Cardinality Constrained Mean–Variance Formulation For Portfolio Selection," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 83-101, January.
    4. L.D. Iasemidis & P. Pardalos & J.C. Sackellares & D.-S. Shiau, 2001. "Quadratic Binary Programming and Dynamical System Approach to Determine the Predictability of Epileptic Seizures," Journal of Combinatorial Optimization, Springer, vol. 5(1), pages 9-26, March.
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    Cited by:

    1. Gili Rosenberg & Mohammad Vazifeh & Brad Woods & Eldad Haber, 2016. "Building an iterative heuristic solver for a quantum annealer," Computational Optimization and Applications, Springer, vol. 65(3), pages 845-869, December.
    2. Gary Kochenberger & Jin-Kao Hao & Fred Glover & Mark Lewis & Zhipeng Lü & Haibo Wang & Yang Wang, 2014. "The unconstrained binary quadratic programming problem: a survey," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 58-81, July.
    3. Zhuqi Miao & Balabhaskar Balasundaram, 2020. "An Ellipsoidal Bounding Scheme for the Quasi-Clique Number of a Graph," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 763-778, July.
    4. Shenshen Gu & Xinyi Chen, 2020. "The Basic Algorithm for the Constrained Zero-One Quadratic Programming Problem with k -diagonal Matrix and Its Application in the Power System," Mathematics, MDPI, vol. 8(1), pages 1-16, January.

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