Skip navigation
Please use this identifier to cite or link to this item: https://libeldoc.bsuir.by/handle/123456789/33583
Title: On global partial calmness for bilevel programming problems with linear lower-level problem
Authors: Minchenko, L. I.
Berezhnov, D. E.
Keywords: публикации ученых
bilevel programming
partial calmness
optimal value function
penalization
solution mapping
pseudo-Lipschitzian continuity
Issue Date: 2017
Publisher: CEUR-WS, Petrovac, Montenegro
Citation: Minchenko, L. I. On global partial calmness for bilevel programming problems with linear lower-level problem / L. I. Minchenko, D. E. Berezhnov // OPTIMA'2017 : proceedings of the VIII International Conference on Optimization and Applications, Petrovac, Oct. 2 - 7, 2017 / CEUR-WS. – Petrovac, 2017. - P.412 - 419.
Abstract: We consider bilevel programs such that their lower level problem is linear with respect to the lower level variable. It is known that such programs are partially calm and, therefore, can be reduced to a one level optimization problem by means of local penalization. One of the goals of our paper is to show that these programs can be reduced to a one level optimization problem via a global exact penalization. In the paper we also prove sufficient conditions of partial calmness for bilevel programs and study the pseudo-Lipschitzian continuity (Aubin property) of the solution mapping of the lower level problem.
URI: https://libeldoc.bsuir.by/handle/123456789/33583
Appears in Collections:Публикации в изданиях других стран

Files in This Item:
File Description SizeFormat 
Berezhnov_On.pdf97,45 kBAdobe PDFView/Open
Show full item record


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.