IJPAM: Volume 70, No. 7 (2011)
SUB-DIFFERENTIAL APPROACH FOR SOLVING
THE MULTI-OBJECTIVE OPTIMIZATION PROBLEM,
APPROXIMATION BY THE INTERIOR-POINT ALGORITHM
THE MULTI-OBJECTIVE OPTIMIZATION PROBLEM,
APPROXIMATION BY THE INTERIOR-POINT ALGORITHM
Mustapha Raıssouli
, Rabie Zine
, Khalid El Yassini
Department of Mathematics and Computer Science
Faculty of Science
Moulay Ismaıl University
P.O. Box 11201, Meknès, MOROCCO




Faculty of Science
Moulay Ismaıl University
P.O. Box 11201, Meknès, MOROCCO
Abstract. Using the sub-differential concept in the sense of convex
analysis, we give a characterization of the solution of the
multi-objective optimization problem. Formulations of our initial
problem in various practical forms are explored. Some numerical
examples, illustrating the theoretical study and showing the
interest of the used approach, are discussed.
Received: February 21, 2011
AMS Subject Classification: 90C29, 90C51, 46N10
Key Words and Phrases: multi-objective optimization problem, sub-differential approach, convex analysis, interior-point algorithm
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 7