On Multilevel optimization: Multiobjective Bilevel Optimization - Softcover

ANZI, Aicha; Radjef, Mohammed Said

Softcover

ISBN 10: 6208419352 ISBN 13: 9786208419356

Verlag: LAP LAMBERT Academic Publishing, 2024

Inhaltsangabe

Bilevel programming is a tool for modelling two level hierarchical decision making. This class of programs constitutes a branch of mathematical programming in which the constraints are, partially, determined by another optimisation problem. The deci sion maker at the upper level is termed as the leader, and at the lower level the follower. The control of variables is partitioned between the decision makers who attempt to optimise their individual objectives. The leader goes first in order to optimise his/her objective function. The follower observes the leader’s decision and constructs his/her decision. Bilevel programs are non-convex problems and have been proved to be NP-hard problems even in the simplest case where the objective and constraint functions are all linear. In this document, we study an extension of these problems. Precisely, we are concerned with Multiobjective bilevel optimization problems.

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Über die Autorin bzw. den Autor

Aicha Anzi is an associate professor in the Operational Research Department of University of Bejaia, Algeria. She received her PhD degree in Applied Mathematics in 2018 and her HDR in 2021 at the University. Her teaching and research interests are in the areas of mathematical programming, bilevel optimisation and game theory.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2024
• Sprache: Englisch
• ISBN 10: 6208419352
• ISBN 13: 9786208419356
• Einband: Taschenbuch
• Anzahl der Seiten: 120
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Editorial Academica Espanola; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland