Results 11 to 20 of about 17,775 (173)
Global Solutions to Nonconvex Optimization of 4th-Order Polynomial and Log-Sum-Exp Functions [PDF]
, 2014 This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a problem arises extensively in engineering and sciences.
Chen, Yi, Gao, David Y
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A Global Optimization Algorithm for Generalized Quadratic Programming
Journal of Applied Mathematics, 2013 We present a global optimization algorithm for solving generalized quadratic programming (GQP), that is, nonconvex quadratic programming with nonconvex quadratic constraints.
Hongwei Jiao, Yongqiang Chen
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BMC Bioinformatics, 2012 Background The estimation of parameter values for mathematical models of biological systems is an optimization problem that is particularly challenging due to the nonlinearities involved.
Miró Anton +4 more
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A Global Optimization Algorithm for Signomial Geometric Programming Problem
Abstract and Applied Analysis, 2014 This paper presents a global optimization algorithm for solving the signomial geometric programming (SGP) problem. In the algorithm, by the straight forward algebraic manipulation of terms and by utilizing a transformation of variables, the initial ...
Xue-Ping Hou +2 more
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Systems Science & Control Engineering, 2020 We propose a new two-level vertex-searching algorithm framework that finds a global optimal solution to the continuous bilevel linear fractional programming problem over a compact polyhedron, in which both the upper and the lower objectives are linear ...
Hui-Ju Chen
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Machine Learning-Based Offloading Strategy for Lightweight User Mobile Edge Computing Tasks
Complexity, 2021 This paper presents an in-depth study and analysis of offloading strategies for lightweight user mobile edge computing tasks using a machine learning approach.
Shuchen Zhou, Waqas Jadoon, Junaid Shuja
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Exploiting Sparsity in SDP Relaxation for Harmonic Balance Method
IEEE Access, 2020 In general, harmonic balance problems are extremely nonconvex and difficult to solve. A convex relaxation in the form of semidefinite programming has attracted a lot of attention recently, as it finds a global solution with high accuracy without the need
Cheng-Hsiung Yang, Ben Shen Deng
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Journal of the Mechanical Behavior of Materials, 2015 This paper introduces constructing convex-relaxed programs for nonconvex optimization problems. Branch-and-bound algorithms are convex-relaxation-based techniques.
Keller André A.
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The Reformulation-based aGO Algorithm for Solving Nonconvex MINLP Problems – Some Improvements
Chemical Engineering Transactions, 2013 The a-reformulation (aR) technique can be used to transform any nonconvex twice-differentiable mixed-integer nonlinear programming problem to a convex relaxed form.
A. Lundell, T. Westerlund
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An Improved Geometric Programming Approach for Optimization of Biochemical Systems
Journal of Applied Mathematics, 2014 This paper proposes an improved geometric programming approach to address the optimization of biochemical systems. In the proposed method we take advantage of a special and interesting class of nonlinear kinetic models known as generalized mass action ...
Gongxian Xu, Lei Wang
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