Results 11 to 20 of about 2,097 (305)
Duality theory for optimistic bilevel optimization [PDF]
, 2022 In this paper, we exploit the so-called value function reformulation of the bilevel optimization problem to develop duality results for the problem. Our approach builds on Fenchel-Lagrange-type duality to establish suitable results for the bilevel optimization problem.
En-Naciri, Houria +2 more
openaire +3 more sources
Duality Theory in Continuous-Time Linear Optimization
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2020 In this work, classical results from duality theory are obtained for continuous-time linear optimization problems with inequality constraints. Weak and strong duality properties, as well as, the complementary slackness theorem are established.
Valeriano Antunes de Oliveira
openaire +3 more sources
On quadratic optimization problems and canonical duality theory [PDF]
, 2018 DY Gao solely or together with some of his collaborators applied his Canonical duality theory (CDT) for solving some quadratic optimization problems with quadratic constraints. Unfortunately, in almost all papers we read on CDT there are unclear definitions, non convincing arguments in the proofs, and even false results.
Constantin Zălinescu
openaire +3 more sources
Optimality and duality theory for stochastic optimization problems with nonlinear dominance constraints [PDF]
Mathematical Programming, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dentcheva, Darinka +1 more
openaire +3 more sources
Economic dispatch of multimicrogrid interconnected system based on bilevel robust optimization [PDF]
Scientific ReportsDriven by the accelerated advancement of microgrid technologies and the surging demand for regional power supply assurance, multi-microgrid (MMG) systems confront significant operational challenges pertaining to economic efficiency and power supply ...
Rui Kang +3 more
doaj +2 more sources
Duality Theory and Optimization of Sophisticated Engineering Systems
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2008 V M Pashin
openaire +2 more sources
An Algebraic-Based Primal–Dual Interior-Point Algorithm for Rotated Quadratic Cone Optimization
Computation, 2023 In rotated quadratic cone programming problems, we minimize a linear objective function over the intersection of an affine linear manifold with the Cartesian product of rotated quadratic cones.
Karima Tamsaouete, Baha Alzalg
doaj +1 more source
Mechanics & Industry, 2023 The shape optimization design of the developable surface is an important research topic in CAD/CAM, and it is widely used in engineering manufacturing.
Lu Jing +3 more
doaj +1 more source
Fixed Point Theory and Applications, 2018 This paper revisits the well-studied fixed point problem from a unified viewpoint of mathematical modeling and canonical duality theory, i.e., the general fixed point problem is first reformulated as a nonconvex optimization problem, its well-posedness ...
Ning Ruan, David Yang Gao
doaj +1 more source
Robust energy storage allocation for transmission grid integrated by multiple wind farms [PDF]
E3S Web of Conferences, 2019 Since optimal planning for energy storage sizing and locating is critical to meet the requirement of total wind power absorption, a robust optimization theory based energy storage allocation model for transmission grid with multiple wind farms integrated
Jinmin Cheng +6 more
doaj +1 more source