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

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	519-531
Число страниц	13
Журнал	Journal of Global Optimization
Том	76
Номер выпуска	3
DOI	https://doi.org/10.1007/s10898-019-00822-w
Состояние	Опубликовано - 1 мар 2020

Предметные области OECD FOS+WOS

5.02.PE ИССЛЕДОВАНИЕ ОПЕРАЦИЙ И НАУКА УПРАВЛЕНИЯ
1.01.PN МАТЕМАТИКА, ПРИКЛАДНАЯ

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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",

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doi = "10.1007/s10898-019-00822-w",

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AU - Dempe, S.

AU - Khamisov, O.

AU - Kochetov, Yu

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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

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U2 - 10.1007/s10898-019-00822-w

DO - 10.1007/s10898-019-00822-w

M3 - Article

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JO - Journal of Global Optimization

JF - Journal of Global Optimization

SN - 0925-5001

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ER -

A special three-level optimization problem

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