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  1. 1

    On linearization techniques for budget-constrained binary quadratic programming problems by Yang, Mei-Jia, Xia, Yong, Zou, Hui-Min

    ISSN: 0167-6377, 1872-7468
    Published: Elsevier B.V 01.11.2016
    Published in Operations research letters (01.11.2016)
    “…Glover’s linearization technique is revisited for solving the binary quadratic programming problem with a budget constraint (BBQP…”
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    Journal Article
  2. 2

    Polynomial time solvable algorithms to a class of unconstrained and linearly constrained binary quadratic programming problems by Gu, Shenshen, Cui, Rui, Peng, Jiao

    ISSN: 0925-2312, 1872-8286
    Published: Elsevier B.V 19.07.2016
    Published in Neurocomputing (Amsterdam) (19.07.2016)
    “… However, it is NP-hard and lacks efficient algorithms. Due to this reason, in this paper, some novel polynomial algorithms are proposed to solve a class of unconstrained and linearly constrained binary quadratic programming problems…”
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    Journal Article
  3. 3

    Memetic clonal selection algorithm with EDA vaccination for unconstrained binary quadratic programming problems by Cai, Yiqiao, Wang, Jiahai, Yin, Jian, Zhou, Yalan

    ISSN: 0957-4174, 1873-6793
    Published: Elsevier Ltd 01.06.2011
    Published in Expert systems with applications (01.06.2011)
    “… ► MCSA-EDA has been shown as a competitive approach for unconstrained binary quadratic programming problems (UBQP…”
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    Journal Article
  4. 4

    Convex reformulation for binary quadratic programming problems via average objective value maximization by Lu, Cheng, Guo, Xiaoling

    ISSN: 1862-4472, 1862-4480
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2015
    Published in Optimization letters (01.03.2015)
    “… Numerical experimental results show that our reformulation method performs better than the compared methods for certain types of binary quadratic programming problems…”
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    Journal Article
  5. 5

    A global continuation algorithm for solving binary quadratic programming problems by Pan, Shaohua, Tan, Tao, Jiang, Yuxi

    ISSN: 0926-6003, 1573-2894
    Published: Boston Springer US 01.12.2008
    “…In this paper, we propose a new continuous approach for the unconstrained binary quadratic programming (BQP) problems based on the Fischer-Burmeister NCP…”
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    Journal Article
  6. 6

    A heuristic solution to the optimisation of flutter control in compression systems (and to some more binary quadratic programming problems) via ΔΣ modulation circuits by Callegari, S, Bizzarri, F

    ISBN: 1424453089, 9781424453085
    ISSN: 0271-4302
    Published: IEEE 01.05.2010
    “…An example of how circuit related techniques can help solving optimisatin problems originating from completely different domains is provided. It is shown that…”
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    Conference Proceeding
  7. 7

    Inner approximations of completely positive reformulations of mixed binary quadratic programs: a unified analysis by Yildirim, E Alper

    ISSN: 1055-6788, 1029-4937
    Published: Abingdon Taylor & Francis 02.11.2017
    Published in Optimization methods & software (02.11.2017)
    “… of mixed binary quadratic programming problems. We provide a characterization of the feasibility of such an inner approximation as well as the optimal value of a feasible inner approximation…”
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    Journal Article
  8. 8

    Polynomial time solvable algorithm to linearly constrained binary quadratic programming problems with Q being a five-diagonal matrix by Shenshen Gu, Rui Cui

    ISBN: 1479936499, 9781479936496
    Published: IEEE 01.08.2014
    “… However, it's NP-hard and lacks efficient algorithms. Due to this reason, in this paper, a novel polynomial algorithm to linearly constrained binary quadratic…”
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    Conference Proceeding
  9. 9

    Performance of various methods for the solution of binary quadratic programming problems by Hasegawa, F., Luo, J., Pattipati, K., Willett, P.

    ISBN: 0780370872, 9780780370876
    ISSN: 1062-922X
    Published: IEEE 2001
    “…We (2001) previously showed that for solutions of the binary quadratic programming problem there exists an "efficient frontier" in the performance/speed domain among the algorithms which characterizes…”
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    Conference Proceeding
  10. 10

    Approximation Schemes for Binary Quadratic Programming Problems with Low cp-Rank Decompositions by Elbassioni, Khaled, Trung Thanh Nguyen

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 18.11.2014
    Published in arXiv.org (18.11.2014)
    “…Binary quadratic programming problems have attracted much attention in the last few decades due to their potential applications…”
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    Paper
  11. 11

    Polynomial time solvable algorithms to binary quadratic programming problems with Q being a tri-diagonal or five-diagonal matrix by Shenshen Gu

    ISBN: 9781424475568, 1424475562
    Published: IEEE 01.10.2010
    “… And most of these optimization problem can be further described in a formal form, that is binary quadratic programming problem(BQP…”
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    Conference Proceeding
  12. 12

    The equivalence between doubly nonnegative relaxation and semidefinite relaxation for binary quadratic programming problems by Chuan-Hao Guo, Yan-Qin, Bai, Li-Ping, Tang

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 23.11.2012
    Published in arXiv.org (23.11.2012)
    “…It has recently been shown (Burer, Math. Program Ser. A 120:479-495, 2009) that a large class of NP-hard nonconvex quadratic programming problems can be…”
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    Paper
  13. 13

    The unconstrained binary quadratic programming problem: a survey by Kochenberger, Gary, Hao, Jin-Kao, Glover, Fred, Lewis, Mark, Lü, Zhipeng, Wang, Haibo, Wang, Yang

    ISSN: 1382-6905, 1573-2886
    Published: Boston Springer US 01.07.2014
    Published in Journal of combinatorial optimization (01.07.2014)
    “…In recent years the unconstrained binary quadratic program (UBQP) has grown in importance in the field of combinatorial optimization due to its application…”
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    Journal Article
  14. 14

    Closed-form formulas for evaluating r-flip moves to the unconstrained binary quadratic programming problem by Anacleto, Eduardo A.J., Meneses, Cláudio N., Ravelo, Santiago V.

    ISSN: 0305-0548, 1873-765X, 0305-0548
    Published: New York Elsevier Ltd 01.01.2020
    Published in Computers & operations research (01.01.2020)
    “… The Unconstrained Binary Quadratic Programming problem (UBQP) belongs to the NP-hard class and has become a framework for modeling a variety of combinatorial optimization problems…”
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    Journal Article
  15. 15

    A pointer network based deep learning algorithm for unconstrained binary quadratic programming problem by Gu, Shenshen, Hao, Tao, Yao, Hanmei

    ISSN: 0925-2312, 1872-8286
    Published: Elsevier B.V 21.05.2020
    Published in Neurocomputing (Amsterdam) (21.05.2020)
    “…Combinatorial optimization problems have been widely used in various fields. And many types of combinatorial optimization problems can be generalized into the…”
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    Journal Article
  16. 16

    Ensemble of multi-objective metaheuristic algorithms for multi-objective unconstrained binary quadratic programming problem by Zhou, Ying, Kong, Lingjing, Wu, Ziyan, Liu, Shaopeng, Cai, Yiqiao, Liu, Ye

    ISSN: 1568-4946, 1872-9681
    Published: Elsevier B.V 01.08.2019
    Published in Applied soft computing (01.08.2019)
    “…Metaheuristics have been widely utilized for solving NP-hard optimization problems. However, these algorithms usually perform differently from one problem to…”
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    Journal Article
  17. 17

    A Single Deep Neural Network Model for Multiobjective Unconstrained Binary Quadratic Programming Problem by Zhou, Ying, Kong, Lingjing, Liu, Yong, Cai, Yiqiao, Liu, Shaopeng

    ISSN: 1557-3958, 1557-3966
    Published: Hershey IGI Global 01.01.2024
    “…The multiobjective unconstrained binary quadratic programming problem is an important combinatorial optimization problem with both theory and practical values…”
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    Journal Article
  18. 18

    A multi-objective tabu search algorithm based on decomposition for multi-objective unconstrained binary quadratic programming problem by Zhou, Ying, Wang, Jiahai, Wu, Ziyan, Wu, Keke

    ISSN: 0950-7051, 1872-7409
    Published: Elsevier B.V 01.02.2018
    Published in Knowledge-based systems (01.02.2018)
    “…•A multi-objective tabu search algorithm based on decomposition (DMTS) is proposed for multi-objective unconstrained binary quadratic programming problem…”
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    Journal Article
  19. 19

    Parametric Lagrangian dual for the binary quadratic programming problem by Xia, Yong, Xing, Wenxun

    ISSN: 0925-5001, 1573-2916
    Published: Boston Springer US 01.02.2015
    Published in Journal of global optimization (01.02.2015)
    “…Based on a difference between convex decomposition of the Lagrangian function, we propose and study a family of parametric Lagrangian dual for the binary…”
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    Journal Article
  20. 20

    A multi-objective tabu search algorithm based on decomposition for muIti-objective unconstrained binary quadratic programming problem by Zhou, Ying, Wang, Jiahai, Wu, Ziyan, Wu, Keke

    ISSN: 0950-7051, 1872-7409
    Published: Amsterdam Elsevier Science Ltd 01.02.2018
    Published in Knowledge-based systems (01.02.2018)
    “…Unconstrained binary quadratic programming problem (UBQP) is a well-known NP-hard problem…”
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    Journal Article