Suchergebnisse - Integer quadratic programming. Semidefinite programming
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Spanning and Splitting: Integer Semidefinite Programming for the Quadratic Minimum Spanning Tree Problem
ISSN: 0377-2217Veröffentlicht: Elsevier B.V 01.11.2025Veröffentlicht 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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A semidefinite programming method for integer convex quadratic minimization
ISSN: 1862-4472, 1862-4480Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018Veröffentlicht 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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Semidefinite relaxations for non-convex quadratic mixed-integer programming
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013Veröffentlicht in Mathematical programming (01.10.2013)“… We present semidefinite relaxations for unconstrained non-convex quadratic mixed-integer optimization problems …”
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A Reduced Semidefinite Programming Formulation for HA Assignment Problems in Sport Scheduling
ISSN: 2676-0029Veröffentlicht: Sociedade Brasileira de Matemática Aplicada e Computacional 17.12.2018Veröffentlicht 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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On the gap between the quadratic integer programming problem and its semidefinite relaxation
ISSN: 0025-5610, 1436-4646Veröffentlicht: Heidelberg Springer 01.07.2006Veröffentlicht 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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Lagrangian decomposition and mixed-integer quadratic programming reformulations for probabilistically constrained quadratic programs
ISSN: 0377-2217, 1872-6860Veröffentlicht: Amsterdam Elsevier B.V 16.08.2012Veröffentlicht 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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A Semidefinite Programming Method for Integer Convex Quadratic Minimization
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 10.03.2017Veröffentlicht 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 …”
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A computational study for bilevel quadratic programs using semidefinite relaxations
ISSN: 0377-2217, 1872-6860Veröffentlicht: Amsterdam Elsevier B.V 01.10.2016Veröffentlicht 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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A Transactive Retail Market Mechanism for Active Distribution Network Integrated With Large-Scale Distributed Energy Resources
ISSN: 1949-3053, 1949-3061Veröffentlicht: Piscataway IEEE 01.09.2021Veröffentlicht 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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A Vectorized Positive Semidefinite Penalty Method for Unconstrained Binary Quadratic Programming
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.01.2026Veröffentlicht 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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On approximating complex quadratic optimization problems via semidefinite programming relaxations
ISSN: 0025-5610, 1436-4646Veröffentlicht: Heidelberg Springer 01.06.2007Veröffentlicht 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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A note on the sufficient initial condition ensuring the convergence of directly extended 3-block ADMM for special semidefinite programming
ISSN: 0233-1934, 1029-4945Veröffentlicht: Philadelphia Taylor & Francis 03.10.2018Veröffentlicht 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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Convex quadratic relaxations for mixed-integer nonlinear programs in power systems
ISSN: 1867-2949, 1867-2957Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2017Veröffentlicht 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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Benders’ decomposition of the unit commitment problem with semidefinite relaxation of AC power flow constraints
ISSN: 0378-7796, 1873-2046Veröffentlicht: Amsterdam Elsevier B.V 01.03.2021Veröffentlicht 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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Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Graph Partitioning and Quadratic Integer Programming with PSD Objectives
ISBN: 145771843X, 9781457718434ISSN: 0272-5428Veröffentlicht: IEEE 01.10.2011Veröffentlicht in 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science (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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Quadratic convex reformulation for quadratic programming with linear on–off constraints
ISSN: 0377-2217, 1872-6860Veröffentlicht: Elsevier B.V 01.05.2019Veröffentlicht 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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Exact quadratic convex reformulations of mixed-integer quadratically constrained problems
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2016Veröffentlicht 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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SDP-quality bounds via convex quadratic relaxations for global optimization of mixed-integer quadratic programs
ISSN: 0025-5610, 1436-4646Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2022Veröffentlicht 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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Using a Mixed Integer Quadratic Programming Solver for the Unconstrained Quadratic 0-1 Problem
ISSN: 0025-5610, 1436-4646Veröffentlicht: Heidelberg Springer 01.01.2007Veröffentlicht 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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SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0)
ISSN: 1055-6788, 1029-4937Veröffentlicht: Abingdon Taylor & Francis 02.01.2020Veröffentlicht 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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