Artículo
Necessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problems
Autor/es | Alves de Oliveira, Washington
Rojas Medar, Marko Antonio Beato Moreno, Antonio Hernández Jiménez, Beatriz |
Departamento | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Fecha de publicación | 2019-04 |
Fecha de depósito | 2022-10-17 |
Publicado en |
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Resumen | If x∗ is a local minimum solution, then there exists a ball of radius r > 0 such that f (x) ≥
f (x∗) for all x ∈ B(x∗,r). The purpose of the current study is to identify the suitable
B(x∗,r) of the local optimal solution ... If x∗ is a local minimum solution, then there exists a ball of radius r > 0 such that f (x) ≥ f (x∗) for all x ∈ B(x∗,r). The purpose of the current study is to identify the suitable B(x∗,r) of the local optimal solution x∗ for a particular multiobjective optimization problem. We provide a way to calculate the largest radius of the ball centered at local Pareto solution in which this solution is optimal. In this process, we present the necessary and sufficient conditions for achieving a global Pareto optimal solution. The results of this investigation might be useful to determine stopping criteria in the algorithms development. |
Cita | Alves de Oliveira, W., Rojas Medar, M.A., Beato Moreno, A. y Hernández Jiménez, B. (2019). Necessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problems. Journal of global optimization, 74, 233-253. https://doi.org/10.1007/s10898-019-00766-1. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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s10898-019-00766-1.pdf | 914.8Kb | [PDF] | Ver/ | |
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