Result: Improved ε-Constraint Method for Multiobjective Programming
Title:
Improved ε-Constraint Method for Multiobjective Programming
Authors:
Source:
Journal of optimization theory and applications. 138(3):375-396
Publisher Information:
New York, NY: Springer, 2008.
Publication Year:
2008
Physical Description:
print, 17 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Recherche operationnelle. Gestion, Operational research. Management science, Recherche opérationnelle et modèles formalisés de gestion, Operational research and scientific management, Programmation mathématique, Mathematical programming, Efficacité, Efficiency, Eficacia, Optimisation sous contrainte, Constrained optimization, Optimización con restricción, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Scalarisation, Scalarization, Scalarisación, Surplus, Multiobjective programming .Scalarization . ε-Constraint method, Properly efficient solutions
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
CNRS Laboratoire d'Informatique de Nantes Atlantique, Université de Nantes, Nantes, France
Fachbereich Mathematik, Technische Universität Kaisersiautern, Kaisersiautern, Germany
Fachbereich Mathematik, Technische Universität Kaisersiautern, Kaisersiautern, Germany
ISSN:
0022-3239
Rights:
Copyright 2008 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Operational research. Management
Accession Number:
edscal.20611704
Database:
PASCAL Archive
Further Information
In this paper, we revisit one of the most important scalarization techniques used in multiobjective programming, the e-constraint method. We summarize the method and point out some weaknesses, namely the lack of easy-to-check conditions for properly efficient solutions and the inflexibility of the constraints. We present two modifications that address these weaknesses by first including slack variables in the formulation and second elasticizing the constraints and including surplus variables. We prove results on (weakly, properly) efficient solutions. The improved ε-constraint method that we propose combines both modifications.