Multiobjective Optimization Involving Quadratic Functions
Joint Authors
Augusto, Oscar Brito
Bennis, Fouad
Caro, Stephane
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Multiobjective optimization is nowadays a word of order in engineering projects.
Although the idea involved is simple, the implementation of any procedure to solve a general problem is not an easy task.
Evolutionary algorithms are widespread as a satisfactory technique to find a candidate set for the solution.
Usually they supply a discrete picture of the Pareto front even if this front is continuous.
In this paper we propose three methods for solving unconstrained multiobjective optimization problems involving quadratic functions.
In the first, for biobjective optimization defined in the bidimensional space, a continuous Pareto set is found analytically.
In the second, applicable to multiobjective optimization, a condition test is proposed to check if a point in the decision space is Pareto optimum or not and, in the third, with functions defined in n-dimensional space, a direct noniterative algorithm is proposed to find the Pareto set.
Simple problems highlight the suitability of the proposed methods.
American Psychological Association (APA)
Augusto, Oscar Brito& Bennis, Fouad& Caro, Stephane. 2014. Multiobjective Optimization Involving Quadratic Functions. Journal of Optimization،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1042681
Modern Language Association (MLA)
Augusto, Oscar Brito…[et al.]. Multiobjective Optimization Involving Quadratic Functions. Journal of Optimization No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1042681
American Medical Association (AMA)
Augusto, Oscar Brito& Bennis, Fouad& Caro, Stephane. Multiobjective Optimization Involving Quadratic Functions. Journal of Optimization. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1042681
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042681