Suchergebnisse - Integer quadratic programming. Semidefinite programming

  1. 1

    Spanning and Splitting: Integer Semidefinite Programming for the Quadratic Minimum Spanning Tree Problem von de Meijer, Frank, Siebenhofer, Melanie, Sotirov, Renata, Wiegele, Angelika

    ISSN: 0377-2217
    Veröffentlicht: Elsevier B.V 01.11.2025
    Veröffentlicht in European journal of operational research (01.11.2025)
    “… •The quadratic minimum spanning tree problem can be modelled as an integer SDP•Our new doubly nonnegative relaxation provides strong bounds for the QMSTP …”
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    Journal Article
  2. 2

    A semidefinite programming method for integer convex quadratic minimization von Park, Jaehyun, Boyd, Stephen

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
    Veröffentlicht in Optimization letters (01.05.2018)
    “… We consider the NP-hard problem of minimizing a convex quadratic function over the integer lattice Z n …”
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    Journal Article
  3. 3

    Semidefinite relaxations for non-convex quadratic mixed-integer programming von Buchheim, Christoph, Wiegele, Angelika

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013
    Veröffentlicht in Mathematical programming (01.10.2013)
    “… We present semidefinite relaxations for unconstrained non-convex quadratic mixed-integer optimization problems …”
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    Journal Article
  4. 4

    A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling von Hugo José Lara, Abel Soares Siqueira, Jinyun Yuan

    ISSN: 2676-0029
    Veröffentlicht: Sociedade Brasileira de Matemática Aplicada e Computacional 17.12.2018
    Veröffentlicht in Trends in Computational and Applied Mathematics (17.12.2018)
    “… The quadratic programming formulations leads to semidefinite relaxations, which allows us to approximately solve the models …”
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    Journal Article
  5. 5

    On the gap between the quadratic integer programming problem and its semidefinite relaxation von Malik, U., Jaimoukha, I.M., Halikias, G.D., Gungah, S.K.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Heidelberg Springer 01.07.2006
    Veröffentlicht in Mathematical programming (01.07.2006)
    “… Consider the semidefinite relaxation (SDR) of the quadratic integer program (QIP): [inline-graphic not available …”
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    Journal Article
  6. 6

    Lagrangian decomposition and mixed-integer quadratic programming reformulations for probabilistically constrained quadratic programs von Zheng, Xiaojin, Sun, Xiaoling, Li, Duan, Cui, Xueting

    ISSN: 0377-2217, 1872-6860
    Veröffentlicht: Amsterdam Elsevier B.V 16.08.2012
    Veröffentlicht in European journal of operational research (16.08.2012)
    “… ► We give an improved mixed integer quadratic programming reformulation. ► This new MIQP reformulation is more efficient than the standard MIQP reformulation …”
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    Journal Article
  7. 7

    A Semidefinite Programming Method for Integer Convex Quadratic Minimization von Park, Jaehyun, Boyd, Stephen

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 10.03.2017
    Veröffentlicht in arXiv.org (10.03.2017)
    “… We consider the NP-hard problem of minimizing a convex quadratic function over the integer lattice \({\bf Z}^n …”
    Volltext
    Paper
  8. 8

    A computational study for bilevel quadratic programs using semidefinite relaxations von Adasme, Pablo, Lisser, Abdel

    ISSN: 0377-2217, 1872-6860
    Veröffentlicht: Amsterdam Elsevier B.V 01.10.2016
    Veröffentlicht in European journal of operational research (01.10.2016)
    “… •We derive equivalent Mixed Integer Linear Programming formulations. Thus, we compute optimal solutions and upper bounds …”
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    Journal Article
  9. 9

    A Transactive Retail Market Mechanism for Active Distribution Network Integrated With Large-Scale Distributed Energy Resources von Huang, Chunyi, Wang, Chengmin, Zhang, Mingzhi, Xie, Ning, Wang, Yong

    ISSN: 1949-3053, 1949-3061
    Veröffentlicht: Piscataway IEEE 01.09.2021
    Veröffentlicht in IEEE transactions on smart grid (01.09.2021)
    “… The burgeoning integration of distributed energy resources (DER) poses new challenges for the economic and safe operation of the electricity system. The …”
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    Journal Article
  10. 10

    A Vectorized Positive Semidefinite Penalty Method for Unconstrained Binary Quadratic Programming von Huo, Xinyue, Gu, Ran

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.01.2026
    Veröffentlicht in Journal of optimization theory and applications (01.01.2026)
    “… The unconstrained binary quadratic programming (UBQP) problem is a class of problems of significant importance in many practical applications, such as in combinatorial optimization, circuit design, and other fields …”
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    Journal Article
  11. 11

    On approximating complex quadratic optimization problems via semidefinite programming relaxations von So, Anthony Man-Cho, Zhang, Jiawei, Ye, Yinyu

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Heidelberg Springer 01.06.2007
    Veröffentlicht in Mathematical programming (01.06.2007)
    “… In this paper the authors study semidefinite programming (SDP) models for a class of discrete and continuous quadratic optimization problems in the complex Hermitian form …”
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    Journal Article Tagungsbericht
  12. 12

    A note on the sufficient initial condition ensuring the convergence of directly extended 3-block ADMM for special semidefinite programming von Chang, Xiaokai, Liu, Sanyang, Zhao, Pengjun

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 03.10.2018
    Veröffentlicht in Optimization (03.10.2018)
    “… integer quadratic programming and maximum cut problem. The dual of these three types of problems is a 3-block separable convex optimization problem with a coupling linear equation constraint …”
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    Journal Article
  13. 13

    Convex quadratic relaxations for mixed-integer nonlinear programs in power systems von Hijazi, Hassan, Coffrin, Carleton, Hentenryck, Pascal Van

    ISSN: 1867-2949, 1867-2957
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2017
    Veröffentlicht in Mathematical programming computation (01.09.2017)
    “… This paper presents a set of new convex quadratic relaxations for nonlinear and mixed-integer nonlinear programs arising in power systems …”
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    Journal Article
  14. 14

    Benders’ decomposition of the unit commitment problem with semidefinite relaxation of AC power flow constraints von Paredes, M., Martins, L.S.A., Soares, S., Ye, Hongxing

    ISSN: 0378-7796, 1873-2046
    Veröffentlicht: Amsterdam Elsevier B.V 01.03.2021
    Veröffentlicht in Electric power systems research (01.03.2021)
    “… Semidefinite programming relaxation of the rectangular AC optimal power flow is used in the subproblem …”
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    Journal Article
  15. 15

    Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Graph Partitioning and Quadratic Integer Programming with PSD Objectives von Guruswami, V., Sinop, A. K.

    ISBN: 145771843X, 9781457718434
    ISSN: 0272-5428
    Veröffentlicht: IEEE 01.10.2011
    “… We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global lin- ear constraints …”
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    Tagungsbericht
  16. 16

    Quadratic convex reformulation for quadratic programming with linear on–off constraints von Wu, Baiyi, Li, Duan, Jiang, Rujun

    ISSN: 0377-2217, 1872-6860
    Veröffentlicht: Elsevier B.V 01.05.2019
    Veröffentlicht in European journal of operational research (01.05.2019)
    “… •Advance the state-of-the-art for quadratic programming with on–off constraints.•Generalize the quadratic convex reformulation approach …”
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    Journal Article
  17. 17

    Exact quadratic convex reformulations of mixed-integer quadratically constrained problems von Billionnet, Alain, Elloumi, Sourour, Lambert, Amélie

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2016
    Veröffentlicht in Mathematical programming (01.07.2016)
    “… We propose a solution approach for the general problem ( QP ) of minimizing a quadratic function of bounded integer variables subject to a set of quadratic constraints …”
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    Journal Article
  18. 18

    SDP-quality bounds via convex quadratic relaxations for global optimization of mixed-integer quadratic programs von Nohra, Carlos J., Raghunathan, Arvind U., Sahinidis, Nikolaos V.

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2022
    Veröffentlicht in Mathematical programming (01.11.2022)
    “… We consider the global optimization of nonconvex mixed-integer quadratic programs with linear equality constraints …”
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    Journal Article
  19. 19

    Using a Mixed Integer Quadratic Programming Solver for the Unconstrained Quadratic 0-1 Problem von Billionnet, Alain, Elloumi, Sourour

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Heidelberg Springer 01.01.2007
    Veröffentlicht in Mathematical programming (01.01.2007)
    “… Our main idea is to use the recent Mixed Integer Quadratic Programming (MIQP) solvers. But, for this, we have to first convexify the objective function q(x …”
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    Journal Article
  20. 20

    SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0) von Sun, Defeng, Toh, Kim-Chuan, Yuan, Yancheng, Zhao, Xin-Yuan

    ISSN: 1055-6788, 1029-4937
    Veröffentlicht: Abingdon Taylor & Francis 02.01.2020
    Veröffentlicht in Optimization methods & software (02.01.2020)
    “… Sdpnal+ is a MATLAB software package that implements an augmented Lagrangian based method to solve large scale semidefinite programming problems with bound constraints …”
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    Journal Article