Optimality Conditions and Geometric Properties of a Linear Multilevel Programming Problem with Dominated Objective Functions

In this paper, a model of a linear multilevel programming problem with dominated objective functions (LMPPD(/)) is proposed, where multiple reactions of the lower levels do not lead to any uncertainty in the upper-level decision making. Under the assumption that the constrained set is nonempty and b...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 123; no. 2; pp. 409 - 429
Main Authors:	Ruan, G. Z., Wang, S. Y., Yamamoto, Y., Zhu, S. S.
Format:	Journal Article
Language:	English
Published:	New York, NY Springer 01.11.2004 Springer Nature B.V
Subjects:	Applied sciences Decision making Exact sciences and technology Game theory Investigations Linear programming Mathematical programming Mathematics Operational research and scientific management Operational research. Management science Optimization Studies Systems science Variables multilevel programming Decision support system Decision making Optimality condition Bilevel programming Linear programming Optimality criterion connectedness Objective function upper semicontinuity Semi continuous function Semicontinuous
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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