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Based on theoretical and algorithmic tools of DC programming and DCA, the research in this thesis focus on the local and global approaches for non convex optimization and global mixed integer optimization. The thesis consists of 5 chapters. The first chapter presents fundamentals of DC programming and DCA, and techniques of Branch and Bound method (B&B)
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An Interior-Point algorithm for Nonlinear Minimax Problems [PDF]
We present a primal-dual interior-point method for constrained nonlinear, discrete minimax problems where the objective functions and constraints are not necessarily convex.
E. Obasanjo, G. Tzallas-Regas, B. Rustem
core
A Global Optimization Algorithm for Generalized Quadratic Programming
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
core
Global optimization tailored for graphics processing units: Complete and rigorous search for large-scale nonlinear minimization. [PDF]
Zhang G, Shan Q, Cagan J.
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Energy-Efficient 3D Trajectory Optimization and Resource Allocation for UAV-Enabled ISAC Systems. [PDF]
Jing L +5 more
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A D-induced duality and its applications [PDF]
This paper attempts to extend the notion of duality for convex cones, by basing it on a predescribed conic ordering and a fixed bilinear mapping. This is an extension of the standard definition of dual cones, in the sense that the nonnegativity of the ...
Zhang, S., Brinkhuis, J.
core
Joint Beamforming for Integrated Satellite-Terrestrial ISAC Systems. [PDF]
Wang T, Wang Q.
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Intelligent optimization of natural gas pipeline compressor stations. [PDF]
Zhao Z, Li L, Sun Z, Lv Q, Li X.
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Parameter Estimation of Microkinetic Models for Heterogeneous Catalysis. [PDF]
Ahmed MGT, Nath Roy B, Hasan MMF.
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Optimized inverse kinematics solutions for a 6-DOF robot. [PDF]
Bayoume MO +3 more
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