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On Multilevel optimization: Multiobjective Bilevel Optimization - Softcover

ANZI, Aicha; Radjef, Mohammed Said

 
9786208419356: On Multilevel optimization: Multiobjective Bilevel Optimization
Softcover
ISBN 10: 6208419352 ISBN 13: 9786208419356
Publisher: LAP LAMBERT Academic Publishing, 2024

Synopsis

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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Publisher
LAP LAMBERT Academic Publishing
Publication date
2024
Language
English
ISBN 10 
6208419352
ISBN 13 
9786208419356
Binding
Paperback
Number of pages
120