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

Sparad:
I publikationen:Journal of Optimization Theory and Applications vol. 123, no. 2 (Nov 2004), p. 409
Huvudupphov: Ruan, G Z
Övriga upphov: Wang, S Y, Yamamoto, Y, Zhu, S S
Utgiven:
Springer Nature B.V.
Ämnen:
Game theory
Variables
Linear programming
Mathematics
Investigations
Systems science
Decision making
Länkar:Citation/Abstract
Full Text
Full Text - PDF
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024 7 |a 10.1007/s10957-004-5156-y  |2 doi 
035 |a 196587094 
045 2 |b d20041101  |b d20041130 
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100 1 |a Ruan, G Z 
245 1 |a Optimality Conditions and Geometric Properties of a Linear Multilevel Programming Problem with Dominated Objective Functions 
260 |b Springer Nature B.V.  |c Nov 2004 
513 |a PERIODICAL 
520 3 |a In this paper, a model of a linear multilevel programming problem with dominated objective functions (LMPPD(l)) 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 bounded, a necessary optimality condition is obtained. Two types of geometric properties of the solution sets are studied. It is demonstrated that the feasible set of LMPPD(l) is neither necessarily composed of faces of the constrained set nor necessarily connected. These properties are different from the existing theoretical results for linear multilevel programming problems. 
653 |a Game theory 
653 |a Variables 
653 |a Linear programming 
653 |a Mathematics 
653 |a Investigations 
653 |a Systems science 
653 |a Decision making 
700 1 |a Wang, S Y 
700 1 |a Yamamoto, Y 
700 1 |a Zhu, S S 
773 0 |t Journal of Optimization Theory and Applications  |g vol. 123, no. 2 (Nov 2004), p. 409 
786 0 |d ProQuest  |t ABI/INFORM Global 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/196587094/abstract/embedded/L8HZQI7Z43R0LA5T?source=fedsrch 
856 4 0 |3 Full Text  |u https://www.proquest.com/docview/196587094/fulltext/embedded/L8HZQI7Z43R0LA5T?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/196587094/fulltextPDF/embedded/L8HZQI7Z43R0LA5T?source=fedsrch