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Penalty-based nonlinear solver for optimal reactive power dispatch with discrete controls
(2013-04-15)
The optimal reactive dispatch problem is a nonlinear programming problem containing continuous and discrete control variables. Owing to the difficulty caused by discrete variables, this problem is usually solved assuming ...
On the solution of mathematical programming problems with equilibrium constraints
(2002-02-01)
Mathematical programming problems with equilibrium constraints (MPEC) are nonlinear programming problems where the constraints have a form that is analogous to first-order optimality conditions of constrained optimization. ...
Nonlinear cutting stock problem model to minimize the number of different patterns and objects
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2008)
A novel approach based on recurrent neural networks applied to nonlinear systems optimization
(Elsevier B.V., 2007-01-01)
This paper presents an efficient approach based on recurrent neural network for solving nonlinear optimization. More specifically, a modified Hopfield network is developed and its internal parameters are computed using the ...
Optimality conditions for nonlinear infinite programming problems
(2015-08-29)
An infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality ...
Design and analysis of an efficient neural network model for solving nonlinear optimization problems
(Taylor & Francis Ltd, 2005-10-20)
This paper presents an efficient approach based on a recurrent neural network for solving constrained nonlinear optimization. More specifically, a modified Hopfield network is developed, and its internal parameters are ...
A Constant Rank Constraint Qualification in Continuous-Time Nonlinear Programming
(2020-01-01)
The paper addresses continuous-time nonlinear programming problems with equality and inequality constraints. First and second order necessary optimality conditions are obtained under a constant rank type constraint ...
Eigenvalue optimization-based formulations for nonlinear dynamics and control problems
(Elsevier Science Sa, 2007-11)
Eigenvalues play an important role in many fields of applied mathematics to engineering. For some applications it may be desirable to calculate the variables of a model in order to optimize an objective function and/or to ...
Orthogonal packing of rectangular items within arbitrary convex regions by nonlinear optimization
(Pergamon-elsevier Science LtdOxfordInglaterra, 2006)
On the natural merit function for solving complementarity problems
(SpringerNew YorkEUA, 2011)