A special three-level optimization problem

S. Dempe; O. Khamisov; Yu Kochetov

doi:10.1007/s10898-019-00822-w

A special three-level optimization problem

S. Dempe, O. Khamisov, Yu Kochetov

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	519-531
Number of pages	13
Journal	Journal of Global Optimization
Volume	76
Issue number	3
DOIs	https://doi.org/10.1007/s10898-019-00822-w
Publication status	Published - 1 Mar 2020

Keywords

Bilevel optimization
Hierarchical optimization
Necessary optimality conditions
Solution algorithms
Three-level optimization

OECD FOS+WOS

5.02.PE OPERATIONS RESEARCH & MANAGEMENT SCIENCE
1.01.PN MATHEMATICS, APPLIED

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10.1007/s10898-019-00822-w

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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",

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journal = "Journal of Global Optimization",

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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 -

A special three-level optimization problem

Abstract

Keywords

OECD FOS+WOS

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