Methods and algorithms for solving multicriteria problems – classification approach

Article type: Research Article

Authors: Salukvadze, M.^a | Jibladze, N.^a | Maisuradze, V.^a | Topchishvili, A.^{b; *}

Affiliations: [a] Institute of Control Systems, 0160 Tbilisi, Georgia | [b] Arbeit und Bildung e.V., 35039 Marburg, Germany

Correspondence: [*] Corresponding author: A. Topchishvili, Friedrich-Ebert-Str. 88, 35039 Marburg, Germany. Tel.: +49 1636692775; E-mail: [email protected].

Abstract: Multicriteria (multiobjective) optimization is widely used for solving a variety of problems in all spheres of everyday life. This could be explained by the fact that such models make it possible to take into account goals which may be different in nature and very often quite contradictory Researchers have developed and continued to improve methods, algorithms and procedures for solving such problems. In this paper we investigate various multicriteria optimization methods and propose an approach for classification of these methods, so that a decision maker can choose from a great variety of procedures the one that best suits his/her goals. Further, we show how our gravitation centers method, developed earlier for solving single objective programs, can be implemented through the multicriteria or multiobjective case.

Keywords: Criterion, model, method, optimization, singleobjective, multicriteria, gravitation, center

DOI: 10.3233/MAS-2007-2406

Journal: Model Assisted Statistics and Applications, vol. 2, no. 4, pp. 239-251, 2007