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Auswahl der wissenschaftlichen Literatur zum Thema „Binary quadratic programming“
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Zeitschriftenartikel zum Thema "Binary quadratic programming"
MU, XUEWEN, SANYANG LID und YALING ZHANG. „A SUCCESSIVE QUADRATIC PROGRAMMING ALGORITHM FOR SDP RELAXATION OF THE BINARY QUADRATIC PROGRAMMING“. Bulletin of the Korean Mathematical Society 42, Nr. 4 (01.11.2005): 837–49. http://dx.doi.org/10.4134/bkms.2005.42.4.837.
Der volle Inhalt der QuelleMu, Xuewen, und Yaling Zhang. „A Rank-Two Feasible Direction Algorithm for the Binary Quadratic Programming“. Journal of Applied Mathematics 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/963563.
Der volle Inhalt der QuelleWang, Yang, Zhipeng Lü, Fred Glover und Jin-Kao Hao. „Path relinking for unconstrained binary quadratic programming“. European Journal of Operational Research 223, Nr. 3 (Dezember 2012): 595–604. http://dx.doi.org/10.1016/j.ejor.2012.07.012.
Der volle Inhalt der QuelleSun, X. L., C. L. Liu, D. Li und J. J. Gao. „On duality gap in binary quadratic programming“. Journal of Global Optimization 53, Nr. 2 (18.02.2011): 255–69. http://dx.doi.org/10.1007/s10898-011-9683-4.
Der volle Inhalt der QuelleKochenberger, Gary, Jin-Kao Hao, Fred Glover, Mark Lewis, Zhipeng Lü, Haibo Wang und Yang Wang. „The unconstrained binary quadratic programming problem: a survey“. Journal of Combinatorial Optimization 28, Nr. 1 (18.04.2014): 58–81. http://dx.doi.org/10.1007/s10878-014-9734-0.
Der volle Inhalt der QuelleGlover, Fred, und Jin-Kao Hao. „f-Flip strategies for unconstrained binary quadratic programming“. Annals of Operations Research 238, Nr. 1-2 (11.12.2015): 651–57. http://dx.doi.org/10.1007/s10479-015-2076-1.
Der volle Inhalt der QuelleRonagh, Pooya, Brad Woods und Ehsan Iranmanesh. „Solving constrained quadratic binary problems via quantum adiabatic evolution“. Quantum Information and Computation 16, Nr. 11&12 (September 2016): 1029–47. http://dx.doi.org/10.26421/qic16.11-12-6.
Der volle Inhalt der QuelleRecht, Peter. „Characterization of optimal points in binary convex quadratic programming“. Optimization 56, Nr. 1-2 (Februar 2007): 39–47. http://dx.doi.org/10.1080/02331930600815801.
Der volle Inhalt der QuelleMerz, Peter, und Kengo Katayama. „Memetic algorithms for the unconstrained binary quadratic programming problem“. Biosystems 78, Nr. 1-3 (Dezember 2004): 99–118. http://dx.doi.org/10.1016/j.biosystems.2004.08.002.
Der volle Inhalt der QuelleLiefooghe, Arnaud, Sébastien Verel und Jin-Kao Hao. „A hybrid metaheuristic for multiobjective unconstrained binary quadratic programming“. Applied Soft Computing 16 (März 2014): 10–19. http://dx.doi.org/10.1016/j.asoc.2013.11.008.
Der volle Inhalt der QuelleDissertationen zum Thema "Binary quadratic programming"
Bettiol, Enrico. „Column generation methods for quadratic mixed binary programming“. Thesis, Paris 13, 2019. http://www.theses.fr/2019PA131073.
Der volle Inhalt der QuelleNon linear programming problems. There are several solution methods in literature for these problems, which are, however, not always efficient in general, in particular for large scale problems. Decomposition strategies such as Column Generation have been developed in order to substitute the original problem with a sequence of more tractable ones. One of the most known of these techniques is Dantzig-Wolfe Decomposition: it has been developed for linear problems and it consists in solving a sequence of subproblems, called respectively master and pricing programs, which leads to the optimum. This method can be extended to convex non linear problems and a classic example of this, which can be seen also as a generalization of the Frank-Wolfe algorithm, is Simplicial Decomposition(SD).In this thesis we discuss decomposition algorithms for solving quadratic optimization problems. In particular, we start with quadratic convex problems, both continuous and mixed binary. Then we tackle the more general class of binary quadratically constrained, quadratic problems. In the first part, we concentrate on SD based-methods for continuous, convex quadratic programming. We introduce new features in the algorithms, for both the master and the pricing problems of the decomposition, and provide results for a wide set of instances, showing that our algorithm is really efficient if compared to the state-of-the-art solver Cplex. This first work is accepted for publication in the journal Computational Optimization and Applications.We then extend the SD-based algorithm to mixed binary convex quadratic problems;we embed the continuous algorithm in a branch and bound scheme that makes us able to exploit some properties of our framework. In this context again we obtain results which show that in some sets of instances this algorithm is still more efficient than Cplex,even with a very simple branch and bound algorithm. This work is in preparation for submission to a journal. In the second part of the thesis, we deal with a more general class of problems, that is quadratically constrained, quadratic problems, where the constraints can be quadratic and both the objective function and the constraints can be non convex. For this class of problems we extend the formulation to the matrix space of the products of variables; we study an algorithm based on Dantzig-Wolfe Decomposition that exploits a relaxation on the Boolean Quadric Polytope (BQP), which is strictly contained in the Completely Positive cone and hence in the cone of positive semi definite (PSD) matrices. This is a constructive algorithm to solve the BQP relaxation of a binary problem an dwe obtain promising results for the root node bound for some quadratic problems. We compare our results with those obtained by the Semi definite relaxation of the ad-hocsolver BiqCrunch. We also show that, for linearly constrained quadratic problems, our relaxation can provide the integer optimum, under certain assumptions. We further study block decomposed matrices and provide results on the so-called BQP-completion problem ; these results are connected to those of PSD and CPP matrices. We show that, given a BQP matrix with some unspecified elements, it can be completed to a full BQP matrix under some assumptions on the positions of the specified elements. This result is related to optimization problems. We propose a BQP-relaxation based on the block structure of the problem. We prove that it provides a lower bound for the previously introduced relaxation, and that in some cases the two formulations are equivalent. We also conjecture that the equivalence result holds if and only if its so-called specification graph is chordal. We provide computational results which show the improvement in the performance of the block-based relaxation, with respect to the unstructured relaxation, and which support our conjecture. This work is in preparation for submission to a journal
Battikh, Rabih. „La résοlutiοn de prοblème quadratique binaire par des méthοdes d'οptimisatiοn exactes et apprοchées“. Electronic Thesis or Diss., Normandie, 2024. http://www.theses.fr/2024NORMLH20.
Der volle Inhalt der QuelleIn this thesis, we presented a new hybrid algorithm (HA) for solving the unconstrained quadratic programming problem (UQP). This algorithm is based on the combination of a block of five special procedures and the simulated annealing method. Our procedures are very efficient and fast, but unfortunately, they sometimes get stuck in a local minimum. To overcome this drawback, we combined them with a simulated annealing algorithm. Then, we repeated these procedures several times to obtain the best solution using our hybrid algorithm.We noticed that the gap between the solution found by (HA) and the CPLEX software is very small, which implies the efficiency of our strategy. Moreover, we integrated our hybrid method into a semi-definite relaxation problem of (UQP) within a branch and bound strategy. To facilitate the resolution of (UQP), we suggest applying fixing criteria to reduce the size of the problem and speed up the process of obtaining an exact solution. The quality of the lower bound found by our code (QPTOSDP) is very good, but the execution time increases with the size of the problem. Numerical results prove the accuracy of our optimal solution and the efficiency and robustness of our approach.We extended the fixing criteria to the quadratic programming problem (QP), which in some cases allows reducing the dimension of the problem, or even solving it entirely by applying a repetition loop based on these criteria
Silva, Pedro Miguel Dias da. „Quantum Computing for Optimizing Power Flow in Energy Grids“. Master's thesis, 2021. http://hdl.handle.net/10316/98073.
Der volle Inhalt der QuelleQuantum Computing is beginning to gather even more attention at a time where efforts are being made into familiarizing younger audiences into not only learning programming on a classical computer, but also on a quantum one.This new paradigm of computation is set to revolutionize several industries as the hardware keeps developing, with the potential to solve problems that a classical computer would consider intangible, as well as giving some specific problems a so sought after speed-up. This is done by applying the properties of quantum physics, like superposition and entanglement, for computation. These properties not only allow to process a larger amount of data simultaneously, but also allows to tackle problems in a completely different way that would not be possible in a classical computer.This thesis focuses on solving a known and relevant problem in the electrical industry and studying its application on a quantum environment. The Unit Commitment Problem, the problem in question, consists in minimizing the cost of power production, for a certain time horizon, by scheduling different generating units in order to meet a certain demand given by a valid forecast. Given that this is an NP-hard problem, it quickly becomes intractable on classical computers when considering real world scenarios on a large scale.A test scenario was also designed to study, by conducting an experimental analysis, the influences that each of the parameters have on the solution quality. To that end, the formulation of the Unit Commitment Problem was also translated to a suitable QUBO form which is then solved through a quantum annealer from D-Wave. For that test scenario, both the parameters from the problem formulation as well as the parameters related to the quantum computer were considered.The results from the experimental analysis suggest that most parameters do have an impact on the solution quality. With some having a greater impact overall such as Grids, that are representing how accurate the linearization of the problem is, as well the delta value associated with the first constraint, a value that is tied to how much of a weight the first constraint, that restricts each unit to a single production level, has. While the parameters with the overall greater impact are tied to the formulation of the problem, parameters like chain strength that affects the strength of coupling between qubits representing a single variable also have a significant impact on the solution quality. While most parameters have a statistical impact on the solution quality, the delta associated with the second constraint, that restricts power generation to equal the demand, fails to have an impact.
Quantum Computing is beginning to gather even more attention at a time where efforts are being made into familiarizing younger audiences into not only learning programming on a classical computer, but also on a quantum one.This new paradigm of computation is set to revolutionize several industries as the hardware keeps developing, with the potential to solve problems that a classical computer would consider intangible, as well as giving some specific problems a so sought after speed-up. This is done by applying the properties of quantum physics, like superposition and entanglement, for computation. These properties not only allow to process a larger amount of data simultaneously, but also allows to tackle problems in a completely different way that would not be possible in a classical computer.This thesis focuses on solving a known and relevant problem in the electrical industry and studying its application on a quantum environment. The Unit Commitment Problem, the problem in question, consists in minimizing the cost of power production, for a certain time horizon, by scheduling different generating units in order to meet a certain demand given by a valid forecast. Given that this is an NP-hard problem, it quickly becomes intractable on classical computers when considering real world scenarios on a large scale.A test scenario was also designed to study, by conducting an experimental analysis, the influences that each of the parameters have on the solution quality. To that end, the formulation of the Unit Commitment Problem was also translated to a suitable QUBO form which is then solved through a quantum annealer from D-Wave. For that test scenario, both the parameters from the problem formulation as well as the parameters related to the quantum computer were considered.The results from the experimental analysis suggest that most parameters do have an impact on the solution quality. With some having a greater impact overall such as Grids, that are representing how accurate the linearization of the problem is, as well the delta value associated with the first constraint, a value that is tied to how much of a weight the first constraint, that restricts each unit to a single production level, has. While the parameters with the overall greater impact are tied to the formulation of the problem, parameters like chain strength that affects the strength of coupling between qubits representing a single variable also have a significant impact on the solution quality. While most parameters have a statistical impact on the solution quality, the delta associated with the second constraint, that restricts power generation to equal the demand, fails to have an impact.
Bücher zum Thema "Binary quadratic programming"
Li, Jian, Antonio De Maio, Guolong Cui und Alfonso Farina. Radar Waveform Design Based on Optimization Theory. Institution of Engineering & Technology, 2020.
Den vollen Inhalt der Quelle findenRadar Waveform Design Based on Optimization Theory. Institution of Engineering & Technology, 2020.
Den vollen Inhalt der Quelle findenBuchteile zum Thema "Binary quadratic programming"
Punnen, Abraham P., und Renata Sotirov. „Mathematical Programming Models and Exact Algorithms“. In The Quadratic Unconstrained Binary Optimization Problem, 139–85. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04520-2_6.
Der volle Inhalt der QuelleCifuentes, Diego, Santanu S. Dey und Jingye Xu. „Sensitivity Analysis for Mixed Binary Quadratic Programming“. In Integer Programming and Combinatorial Optimization, 446–59. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-59835-7_33.
Der volle Inhalt der QuelleBuchheim, Christoph, und Emiliano Traversi. „Separable Non-convex Underestimators for Binary Quadratic Programming“. In Experimental Algorithms, 236–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38527-8_22.
Der volle Inhalt der QuelleDong, Hongbo, und Jeff Linderoth. „On Valid Inequalities for Quadratic Programming with Continuous Variables and Binary Indicators“. In Integer Programming and Combinatorial Optimization, 169–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36694-9_15.
Der volle Inhalt der QuelleBorndörfer, Ralf, und Carlos Cardonha. „A Binary Quadratic Programming Approach to the Vehicle Positioning Problem“. In Modeling, Simulation and Optimization of Complex Processes, 41–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25707-0_4.
Der volle Inhalt der QuelleWang, Yang, Zhipeng Lü, Fred Glover und Jin-Kao Hao. „Effective Variable Fixing and Scoring Strategies for Binary Quadratic Programming“. In Evolutionary Computation in Combinatorial Optimization, 72–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20364-0_7.
Der volle Inhalt der QuelleWang, Yang, Zhipeng Lü, Fred Glover und Jin-Kao Hao. „A Multilevel Algorithm for Large Unconstrained Binary Quadratic Optimization“. In Integration of AI and OR Techniques in Contraint Programming for Combinatorial Optimzation Problems, 395–408. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29828-8_26.
Der volle Inhalt der QuelleLiefooghe, Arnaud, Sébastien Verel, Luís Paquete und Jin-Kao Hao. „Experiments on Local Search for Bi-objective Unconstrained Binary Quadratic Programming“. In Lecture Notes in Computer Science, 171–86. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15934-8_12.
Der volle Inhalt der QuelleZhou, Ying, Lingjing Kong, Lijun Yan, Shaopeng Liu und Jiaming Hong. „A Multiobjective Memetic Algorithm for Multiobjective Unconstrained Binary Quadratic Programming Problem“. In Lecture Notes in Computer Science, 23–33. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78811-7_3.
Der volle Inhalt der Quellede Souza, Marcelo, und Marcus Ritt. „Automatic Grammar-Based Design of Heuristic Algorithms for Unconstrained Binary Quadratic Programming“. In Evolutionary Computation in Combinatorial Optimization, 67–84. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77449-7_5.
Der volle Inhalt der QuelleKonferenzberichte zum Thema "Binary quadratic programming"
Zanotti, Roberto, und Francesco Negro. „An Innovative Binary Quadratic Programming Approach for the Accurate Identification of Discharge Timings of Motor Units From High-Density Surface EMG Signals“. In 2024 IEEE International Conference on Metrology for eXtended Reality, Artificial Intelligence and Neural Engineering (MetroXRAINE), 36–41. IEEE, 2024. https://doi.org/10.1109/metroxraine62247.2024.10795886.
Der volle Inhalt der QuelleDe Souza, Murilo Zangari, und Aurora Trinidad Ramirez Pozo. „Multiobjective Binary ACO for Unconstrained Binary Quadratic Programming“. In 2015 Brazilian Conference on Intelligent Systems (BRACIS). IEEE, 2015. http://dx.doi.org/10.1109/bracis.2015.15.
Der volle Inhalt der QuelleLin, Geng. „Solving unconstrained binary quadratic programming using binary particle swarm optimization“. In 2013 International Conference of Information Technology and Industrial Engineering. Southampton, UK: WIT Press, 2013. http://dx.doi.org/10.2495/itie130311.
Der volle Inhalt der QuelleIstrati, Daniela, Vasile Moraru und Sergiu Zaporojan. „A Method for Binary Quadratic Programming with Circulant Matrix“. In 12th International Conference on Electronics, Communications and Computing. Technical University of Moldova, 2022. http://dx.doi.org/10.52326/ic-ecco.2022/cs.01.
Der volle Inhalt der QuelleLee, Gim Hee. „Line Association and Vanishing Point Estimation with Binary Quadratic Programming“. In 2017 International Conference on 3D Vision (3DV). IEEE, 2017. http://dx.doi.org/10.1109/3dv.2017.00072.
Der volle Inhalt der QuelleToyama, Fubito, Kenji Shoji, Hiroshi Mori und Juichi Miyamichi. „An iterated greedy algorithm for the binary quadratic programming problem“. In 2012 Joint 6th Intl. Conference on Soft Computing and Intelligent Systems (SCIS) and 13th Intl. Symposium on Advanced Intelligent Systems (ISIS). IEEE, 2012. http://dx.doi.org/10.1109/scis-isis.2012.6505143.
Der volle Inhalt der QuelleMejari, Manas, Vihangkumar V. Naik, Dario Piga und Alberto Bemporad. „Energy Disaggregation using Piecewise Affine Regression and Binary Quadratic Programming“. In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8619175.
Der volle Inhalt der QuelleMasti, Daniele, und Alberto Bemporad. „Learning binary warm starts for multiparametric mixed-integer quadratic programming“. In 2019 18th European Control Conference (ECC). IEEE, 2019. http://dx.doi.org/10.23919/ecc.2019.8795808.
Der volle Inhalt der QuelleOlsson, Carl, Anders P. Eriksson und Fredrik Kahl. „Solving Large Scale Binary Quadratic Problems: Spectral Methods vs. Semidefinite Programming“. In 2007 IEEE Conference on Computer Vision and Pattern Recognition. IEEE, 2007. http://dx.doi.org/10.1109/cvpr.2007.383202.
Der volle Inhalt der QuelleJialong Shi, Qingfu Zhang, Bilel Derbel und Arnaud Liefooghe. „A Parallel Tabu Search for the Unconstrained Binary Quadratic Programming problem“. In 2017 IEEE Congress on Evolutionary Computation (CEC). IEEE, 2017. http://dx.doi.org/10.1109/cec.2017.7969360.
Der volle Inhalt der QuelleBerichte der Organisationen zum Thema "Binary quadratic programming"
Coffrin, Carleton James, Harsha Nagarajan und Russell Whitford Bent. Challenges and Successes of Solving Binary Quadratic Programming Benchmarks on the DW2X QPU. Office of Scientific and Technical Information (OSTI), Oktober 2016. http://dx.doi.org/10.2172/1330084.
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