Volume 5, Number 3, September 2009, pp. 387-401

Elisabeth Gebhardt and Johannes Jahn
Key words:
bilevel optimization, vector optimization, global solvers
Mathematices Subject Classification: 90C29, 90C30, 90-08
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Copyright© 2009 Yokohama Publishers
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Abstract:
Optimality conditions are given for nonlinear bilevel vector optimization problems in infinite dimensions. A new numerical method based on a multiobjective search algorithm with subdivision technique, is introduced for the determination of global solutions. Numerical results are presented for low dimensional nonlinear problems.
Global solver for nonlinear bilevel vector optimization problems