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The unconstrained binary quadratic programming problem: a survey

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Abstract

In recent years the unconstrained binary quadratic program (UBQP) has grown in importance in the field of combinatorial optimization due to its application potential and its computational challenge. Research on UBQP has generated a wide range of solution techniques for this basic model that encompasses a rich collection of problem types. In this paper we survey the literature on this important model, providing an overview of the applications and solution methods.

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Authors and Affiliations

  1. School of Business Administration, University of Colorado at Denver, Denver, CO , 80217, USA

    Gary Kochenberger

  2. LERIA, Université d’Angers, 2 Boulevard Lavoisier, 49045 , Angers, France

    Jin-Kao Hao

  3. OptTek Inc., Boulder, CO , 80302, USA

    Fred Glover

  4. Craig School of Business, Missouri Western State University, Saint Joseph, MO , 64507, USA

    Mark Lewis

  5. School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan , 430074, China

    Zhipeng Lü

  6. Sanchez School of Business, Texas A&M International University, Laredo, TX , 78041, USA

    Haibo Wang

  7. School of Management, Northwestern Polytechnical University, 127 Youyi West Road, Xi’an , 710072, China

    Yang Wang

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  1. Gary Kochenberger
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Kochenberger, G., Hao, JK., Glover, F. et al. The unconstrained binary quadratic programming problem: a survey. J Comb Optim 28, 58–81 (2014). https://doi.org/10.1007/s10878-014-9734-0

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