Encontrados 48 documentos, a visualizar página 1 de 5
Nonmonotone hybrid tabu search for inequalities and equalities: an experimental...
Ramadas, Gisela C. V.; Fernandes, Edite M. G. P.The main goal of this paper is to analyze the behavior of nonmono- tone hybrid tabu search approaches when solving systems of nonlinear inequalities and equalities through the global optimization of an appro- priate merit function. The algorithm combines global and local searches and uses a nonmonotone reduction of the merit function to choose the local search. Relaxing the condition aims to call the local sear...
Combined mutation differential evolution to solve systems of nonlinear equations
Ramadas, Gisela C. V.; Fernandes, Edite M. G. P.This paper presents a differential evolution heuristic to compute a solution of a system of nonlinear equations through the global optimization of an appropriate merit function. Three different mutation strategies are combined to generate mutant points. Preliminary numerical results show the effectiveness of the presented heuristic.
Multilocal programming and applications
Pereira, Ana I.; Ferreira, Olga; Pinho, Simão; Fernandes, Edite M.G.P.Multilocal programming aims to identify all local maximizers of unconstrained or constrained nonlinear optimization problems. The multilocal programming theory relies on global optimization strategies combined with simple ideas that are inspired in deflection or stretching techniques to avoid convergence to the already detected local maximizers. The most used methods to solve this type of problems are based on ...
Multistart hooke and jeeves filter method for mixed variable optimization
Fernandes, Florbela P.; Costa, M. Fernanda P.; Fernandes, Edite M.G.P.; Rocha, Ana Maria A. C.In this study, we propose an extended version of the Hooke and Jeeves algorithm that uses a simple heuristic to handle integer and/or binary variables and a filter set methodology to handle constraints. This proposal is integrated into a multistart method as a local solver and it is repeatedly called in order to compute different optimal solutions. Then, the best of all stored optimal solutions is selected as t...
Multilocal programming: a derivative-free filter multistart algorithm
Fernandes, Florbela P.; Costa, M. Fernanda P.; Fernandes, Edite M.G.P.Multilocal programming aims to locate all the local solutions of an optimization problem. A stochastic method based on a multistart strategy and a derivative-free filter local search for solving general constrained optimization problems is presented. The filter methodology is integrated into a coordinate search paradigm in order to generate a set of trial approximations that might be acceptable if they improve ...
Self-adaptive combination of global tabu search and local search for nonlinear ...
Ramadas, Gisela C. V.; Fernandes, Edite M. G. P.Solving systems of nonlinear equations is a very important task since the problems emerge mostly through the mathematical modelling of real problems that arise naturally in many branches of engineering and in the physical sciences. The problem can be naturally reformulated as a global optimization problem. In this paper, we show that a self-adaptive combination of a metaheuristic with a classical local search m...
A derivative-free filter driven multistart technique for global optimization
Fernandes, Florbela P.; Costa, M. Fernanda P.; Fernandes, Edite M.G.P.A stochastic global optimization method based on a multistart strategy and a derivative-free filter local search for general constrained optimization is presented and analyzed. In the local search procedure, approximate descent directions for the constraint violation or the objective function are used to progress towards the optimal solution. The algorithm is able to locate all the local minima, and consequentl...
Stopping rules effect on a derivative-free filter multistart algorithm for mult...
Fernandes, Florbela P.; Costa, M.F.P.; Fernandes, Edite M.G.P.Multilocal programming aims to identify all the local solutions of constrained optimization problems. The purpose of this paper is to analyze the effect of stopping rules on the performance of a particular multistart method, which relies on a derivative-free local search procedure to converge to a solution, when solving multilocal optimization problems. The method herein presented implements the approximate des...
Stopping rules effect on a derivative-free filter multistart algorithm for mult...
Fernandes, Florbela P.; Costa, M.F.P.; Fernandes, Edite M.G.P.Multilocal programming aims to identify all the local solutions of constrained optimization problems. The purpose of this paper is to analyze the effect of stopping rules on the performance of a particular multistart method, which relies on a derivative-free local search procedure to converge to a solution, when solving multilocal optimization problems. The method herein presented implements the approximate des...
Multistart coupled with a derivative-free filter local search for locating mult...
Fernandes, Florbela P.; Pereira, Ana I.; Costa, Maria F.P.; Fernandes, Edite M.G.P.A multistart technique coupled with a derivative-free lter local search algorithm for locating all the optimal solutions of a nonconvex constrained optimization is presented. To reach a fast convergence to the optimal solutions, the local search procedure is based on descent directions. The lter-set concept is introduced to handle the constraints of the problem. The generated direction vector is descent for t...
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