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A special three-level optimization problem. / Dempe, S.; Khamisov, O.; Kochetov, Yu.

In: Journal of Global Optimization, Vol. 76, No. 3, 01.03.2020, p. 519-531.

Research output: Contribution to journalArticlepeer-review

Harvard

Dempe, S, Khamisov, O & Kochetov, Y 2020, 'A special three-level optimization problem', Journal of Global Optimization, vol. 76, no. 3, pp. 519-531. https://doi.org/10.1007/s10898-019-00822-w

APA

Dempe, S., Khamisov, O., & Kochetov, Y. (2020). A special three-level optimization problem. Journal of Global Optimization, 76(3), 519-531. https://doi.org/10.1007/s10898-019-00822-w

Vancouver

Dempe S, Khamisov O, Kochetov Y. A special three-level optimization problem. Journal of Global Optimization. 2020 Mar 1;76(3):519-531. doi: 10.1007/s10898-019-00822-w

Author

Dempe, S. ; Khamisov, O. ; Kochetov, Yu. / A special three-level optimization problem. In: Journal of Global Optimization. 2020 ; Vol. 76, No. 3. pp. 519-531.

BibTeX

@article{1f4ececb66aa4ba8980acb14a87ab2ff,
title = "A special three-level optimization problem",
abstract = "A special linear, three-level optimization problem is considered where the reaction of the third-level decision maker influences the objective functions of both decision makers on the first and the second level via its optimal objective function value. For this problem, existence of an optimal solution as well as its computation are investigated.",
keywords = "Bilevel optimization, Hierarchical optimization, Necessary optimality conditions, Solution algorithms, Three-level optimization",
author = "S. Dempe and O. Khamisov and Yu Kochetov",
year = "2020",
month = mar,
day = "1",
doi = "10.1007/s10898-019-00822-w",
language = "English",
volume = "76",
pages = "519--531",
journal = "Journal of Global Optimization",
issn = "0925-5001",
publisher = "Springer Netherlands",
number = "3",

}

RIS

TY - JOUR

T1 - A special three-level optimization problem

AU - Dempe, S.

AU - Khamisov, O.

AU - Kochetov, Yu

PY - 2020/3/1

Y1 - 2020/3/1

N2 - A special linear, three-level optimization problem is considered where the reaction of the third-level decision maker influences the objective functions of both decision makers on the first and the second level via its optimal objective function value. For this problem, existence of an optimal solution as well as its computation are investigated.

AB - A special linear, three-level optimization problem is considered where the reaction of the third-level decision maker influences the objective functions of both decision makers on the first and the second level via its optimal objective function value. For this problem, existence of an optimal solution as well as its computation are investigated.

KW - Bilevel optimization

KW - Hierarchical optimization

KW - Necessary optimality conditions

KW - Solution algorithms

KW - Three-level optimization

UR - http://www.scopus.com/inward/record.url?scp=85072018371&partnerID=8YFLogxK

U2 - 10.1007/s10898-019-00822-w

DO - 10.1007/s10898-019-00822-w

M3 - Article

AN - SCOPUS:85072018371

VL - 76

SP - 519

EP - 531

JO - Journal of Global Optimization

JF - Journal of Global Optimization

SN - 0925-5001

IS - 3

ER -

ID: 21489728