Results 1 to 10 of about 183 (99)
Symmetric duality in complex spaces over cones [PDF]
Yugoslav Journal of Operations Research, 2021 Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming.
Ahmad Izhar +2 more
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Strong Fenchel Duality for Evenly Convex Optimization Problems
Journal of Applied Science and Engineering, 2023 Among a variety of approaches introduced in the literature to establish duality theory, Fenchel duality was of great importance in convex analysis and optimization. In this paper we establish some conditions to obtain classical strong Fenchel duality for
Saba Naser Majeed
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Conic Duality for Multi-Objective Robust Optimization Problem
Mathematics, 2022 Duality theory is important in finding solutions to optimization problems. For example, in linear programming problems, the primal and dual problem pairs are closely related, i.e., if the optimal solution of one problem is known, then the optimal ...
Khoirunnisa Rohadatul Aisy Muslihin +2 more
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Developing Robust Bidding Strategy for Virtual Bidders in Day-Ahead Electricity Markets
IEEE Open Access Journal of Power and Energy, 2021 Purely financial players without any physical assets can participate in day-ahead electricity markets as virtual bidders. They can arbitrage the price difference between day-ahead (DA) and real-time (RT) markets to maximize profits.
Hossein Mehdipourpicha +2 more
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Transferring Optimal Dualities: Theory and Practice [PDF]
Journal of the Australian Mathematical Society, 2003 AbstractConsider the quasi-variety generated by a finite algebra and assume that yields a natural duality on based on which is optimal modulo endomorphisms. We shoe that, provided satisfies certain minimality conditions, we can transfer this duality to a natural duality on based on , which is also optimal modulo endormorphisms, for any finite ...
Davey, Brian A., Haviar, Miroslav.
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Dual Variational Formulations for a Large Class of Non-Convex Models in the Calculus of Variations
Mathematics, 2022 This article develops dual variational formulations for a large class of models in variational optimization. The results are established through basic tools of functional analysis, convex analysis and duality theory.
Fabio Silva Botelho
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Pre-disaster transmission maintenance scheduling considering network topology optimization
Frontiers in Energy Research, 2023 Several devastating experiences with extreme natural disasters demonstrate that improving power system resilience is becoming increasingly important.
Weixin Zhang +3 more
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Existence of Generalized Augmented Lagrange Multipliers for Constrained Optimization Problems
Mathematical and Computational Applications, 2020 The augmented Lagrange multiplier as an important concept in duality theory for optimization problems is extended in this paper to generalized augmented Lagrange multipliers by allowing a nonlinear support for the augmented perturbation function.
Yue Wang, Jinchuan Zhou, Jingyong Tang
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Approximate Solution of The Linear Programming Problems By Ant System Optimization [PDF]
Engineering and Technology Journal, 2009 In this paper we use the ant system optimization metaheuristic to findapproximate solution to the linear programming problems, we also use the duality theory to estimate how good is this approximate solution and check if it is optimal, the advantageous ...
Faiz Faig Showkat +2 more
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Nonlinear Engineering, 2023 This article develops duality principles, a related convex dual formulation and primal dual formulations suitable for the local and global optimization of non convex primal formulations for a large class of models in physics and engineering.
Botelho Fabio Silva
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