Search Results - constrained binary quadratic programming ((problems OR problems) OR problems)*

Mining for diamonds—Matrix generation algorithms for binary quadratically constrained quadratic problems by Bettiol, Enrico, Bomze, Immanuel, Létocart, Lucas, Rinaldi, Francesco, Traversi, Emiliano

“…In this paper, we consider binary quadratically constrained quadratic problems and propose a new approach to generate stronger bounds than the ones obtained using the Semidefinite Programming relaxation…”
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Digital Annealing Engine for High-speed Solving of Constrained Binary Quadratic Problems on Multiple GPUs by Katayama, Kentaro, Yoneoka, Noboru, Kanda, Kouichi, Tamura, Hirotaka, Nakayama, Hiroshi, Watanabe, Yasuhiro

“…This paper presents a digital annealing engine capable of high-speed solving the Binary Quadratic Programming Problem (BQP…”
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On linearization techniques for budget-constrained binary quadratic programming problems by Yang, Mei-Jia, Xia, Yong, Zou, Hui-Min

“…Glover’s linearization technique is revisited for solving the binary quadratic programming problem with a budget constraint (BBQP…”
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Polynomial time solvable algorithms to a class of unconstrained and linearly constrained binary quadratic programming problems by Gu, Shenshen, Cui, Rui, Peng, Jiao

“… 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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QPLIB: a library of quadratic programming instances by Furini, Fabio, Traversi, Emiliano, Belotti, Pietro, Frangioni, Antonio, Gleixner, Ambros, Gould, Nick, Liberti, Leo, Lodi, Andrea, Misener, Ruth, Mittelmann, Hans, Sahinidis, Nikolaos V., Vigerske, Stefan, Wiegele, Angelika

“…This paper describes a new instance library for quadratic programming (QP), i.e., the family of continuous and (mixed…”
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Dantzig–Wolfe reformulations for binary quadratic problems by Ceselli, Alberto, Létocart, Lucas, Traversi, Emiliano

“…The purpose of this paper is to provide strong reformulations for binary quadratic problems…”
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A Quantum Annealing Algorithm for the Resource-Constrained Excavator Procurement Problem by Chang, Linhao, Xu, Meng, Guo, Lifei, Zhu, XiHong, Qin, Shujin, Guo, XiWang, Yang, Xinyi

“… A mixed integer programming model (MIP) is established to address the RCEPP. In line with the specifications of quantum computers, a quadratic unconstrained binary optimization model is developed via reformulating the MIP…”
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A Sparsity‐Driven Solution Method for the Cardinality Constrained Mean‐Variance Portfolio Selection Problem by Jiang, Shan, Fang, Shu‐Cherng, An, Qi

“…Cardinality constrained mean‐variance (CCMV) portfolio selection problem is commonly formulated as a mixed integer quadratic program (MIQP…”
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Quadratic Unconstrained Binary optimization for the Automotive Paint Shop Problem by Debevere, Pieter, Sugimura, Masahiko, Parizy, Matthieu

“…The Binary Paint Shop Problem (BPSP) is a combinatorial optimization problem which draws inspiration from the automotive paint shop…”
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Quadratic convex reformulation for nonconvex binary quadratically constrained quadratic programming via surrogate constraint by Zheng, Xiaojin, Pan, Yutong, Cui, Xueting

“…We investigate in this paper nonconvex binary quadratically constrained quadratic programming (QCQP…”
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An improved lower bound and approximation algorithm for binary constrained quadratic programming problem by Lu, Cheng, Wang, Zhenbo, Xing, Wenxun

“…This paper presents an improved lower bound and an approximation algorithm based on spectral decomposition for the binary constrained quadratic programming problem…”
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A Lagrangian–DNN relaxation: a fast method for computing tight lower bounds for a class of quadratic optimization problems by Kim, Sunyoung, Kojima, Masakazu, Toh, Kim-Chuan

“…We propose an efficient computational method for linearly constrained quadratic optimization problems (QOPs…”
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Symmetry Detection for Quadratic Optimization Using Binary Layered Graphs by Kouyialis, Georgia, Wang, Xiaoyu, Misener, Ruth

“…, of branch-and-bound when symmetry induces many equivalent branches. This paper develops detection methods for symmetry groups in quadratically-constrained quadratic optimization problems…”
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KKT Solution and Conic Relaxation for Solving Quadratically Constrained Quadratic Programming Problems by Lu, Cheng, Fang, Shu-Cherng, Jin, Qingwei, Wang, Zhenbo, Xing, Wenxun

“…To find a global optimal solution to the quadratically constrained quadratic programming problem, we explore the relationship between its Lagrangian multipliers and related linear conic programming problems…”
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An evaluation of semidefinite programming based approaches for discrete lot-sizing problems by Gicquel, C., Lisser, A., Minoux, M.

“…•This problem is formulated as a quadratically constrained quadratic binary program.•We compute lower bounds using a semidefinite rather than a linear relaxation…”
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Toward Fast Quantum-Classical Hybrid Benders Decomposition for the SCUC Problem: An Efficient Approximate Formulation of QUBOs by Zheng, Xiaodong, Yang, Jiahua, Zhou, Baorong

“… Quantum annealing, which seeks to find the ground state of an Ising model-a minimization of a quadratic binary function-offers potential speedups for solving combinatorial optimization problems…”
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Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions by Jeyakumar, V., Rubinov, A. M., Wu, Z. Y.

“…In this paper, we first examine how global optimality of non-convex constrained optimization problems is related to Lagrange multiplier conditions…”
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The quadratic knapsack problem—a survey by Pisinger, David

“…The binary quadratic knapsack problem maximizes a quadratic objective function subject to a linear capacity constraint…”
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An Incomplete Observability-Constrained PMU Allocation Problem by Using Mathematical and Evolutionary Algorithms by Theodorakatos, Nikolaos P., Babu, Rohit, Moschoudis, Angelos P.

“…), a nonlinear program is proposed using Sequential Quadratic Programming (SQP), Interior-Point methods (IPMs) or YALMIP…”
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A quadratic simplex algorithm for primal optimization over zero-one polytopes by Mallach, Sven

“… Computational experiments for unconstrained binary quadratic programs, maximum cut, and the quadratic assignment problem serve as a proof of concept and underline the importance of a pivoting rule…”
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