Quadratic Convex Reformulations for Semicontinuous Quadratic Programming [PDF]
SIAM Journal on Optimization, 2017 Summary: We consider in this paper a class of semicontinuous quadratic programming problems, which arises in many real-world applications such as production planning, portfolio selection, and subset selection in regression. We build upon the idea of the quadratic convex reformulation approach, i.e., adding to the original objective function an ...
Baiyi Wu +3 more
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Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems
Fuzzy Information and Engineering, 2022 We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector.
Mehrnoosh Salari +2 more
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Linear Programming Relaxations of Quadratically Constrained Quadratic Programs [PDF]
, 2011 We investigate the use of linear programming tools for solving semidefinite programming relaxations of quadratically constrained quadratic problems. Classes of valid linear inequalities are presented, including sparse PSD cuts, and principal minors PSD cuts. Computational results based on instances from the literature are presented.
Qualizza, Andrea +2 more
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An SQP Algorithm for Structural Topology Optimization Based on Majorization–Minimization Method
Applied Sciences, 2022 When applying the sequential quadratic programming (SQP) algorithm to topology optimization, using the quasi-Newton methods or calculating the Hessian matrix directly will result in a considerable amount of calculation, making it computationally ...
Weilong Liao, Qiliang Zhang, Huanli Meng
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Representing quadratically constrained quadratic programs as generalized copositive programs [PDF]
Operations Research Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samuel Burer, Hongbo Dong 0001
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On Solutions of Possibilistic Multi- objective Quadratic Programming Problems [PDF]
International Journal of Supply and Operations Management, 2017 In this paper, a multi- objective quadratic programming (Poss- MOQP) problem with possibilistic variables coefficients matrix in the objective functions is studied.
Hamiden Khalifa
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An Optimal Generation Scheduling Approach Based on Linear Relaxation and Mixed Integer Programming
IEEE Access, 2020 This paper proposes an optimal generation scheduling approach based on linear relaxation and mixed integer programming, which is used to solve the generation dispatch problem.
Yunkai Lei +5 more
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A Solution Approach for Solving Fully Fuzzy Quadratic Programming Problems
Journal of Applied Research on Industrial Engineering, 2018 Quadratic Programming has been widely applied to solve real-world problems. This paper describes a solution method for solving a special class of fuzzy quadratic programming problems with fuzziness in relations.
Nemat Allah Taghi-Nezhad +1 more
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A Lifting-Penalty Method for Quadratic Programming with a Quadratic Matrix Inequality Constraint
Mathematics, 2020 In this paper, a lifting-penalty method for solving the quadratic programming with a quadratic matrix inequality constraint is proposed. Additional variables are introduced to represent the quadratic terms.
Wei Liu, Li Yang, Bo Yu
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Solution of Quadratic Programming with Interval Variables Using a Two-Level Programming Approach
Journal of Applied Mathematics, 2018 Quadratic programming with interval variables is developed from quadratic programming with interval coefficients to obtain optimum solution in interval form, both the optimum point and optimum value.
Syaripuddin, Herry Suprajitno, Fatmawati
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