Article
Necessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problems
Author/s | Alves de Oliveira, Washington
Rojas Medar, Marko Antonio Beato Moreno, Antonio ![]() ![]() ![]() ![]() ![]() ![]() ![]() Hernández Jiménez, Beatriz |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2019-04 |
Deposit Date | 2022-10-17 |
Published in |
|
Abstract | 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. |
Citation | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
s10898-019-00766-1.pdf | 914.8Kb | ![]() | View/ | |
This item appears in the following collection(s)
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Related items
Showing items related by title, author, creator and subject.
-
Article
Optimizing the relaxation route with optimal control
Prados Montaño, Antonio (American Physical Society, 2021)We look into the minimization of the connection time between nonequilibrium steady states. As a prototypical example of ...
-
PhD Thesis
Aircraft trajectory optimization using singular optimal control theory
Franco Espín, Antonio (2014)The optimization of aircraft trajectories using the theory of singular optimal control is studied in this thesis. To ...
-
Article
Study of the optimal harvesting control and the optimality system for an elliptic problem
Delgado Delgado, Manuel; Montero Sánchez, Juan Aurelio; Suárez Fernández, Antonio (Society for Industrial and Applied Mathematics, 2003)An optimal harvesting problem with concave non-quadratic cost functional and a diffusive degenerate elliptic logistic state ...