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Journal of the Operations Research Society of Japan
Article . 1996 . Peer-reviewed
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Journal of the Operations Research Society of Japan
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AN ALGORITHM FOR A MULTIOBJECTIVE, MULTILEVEL LINEAR PROGRAMMING

An algorithm for a multiobjective, multilevel linear programming
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1996 English Publisher:The Operations Research Society of JapanJournal:Journal of the Operations Research Society of Japan, volume 39, pages 176-187 (issn: 0453-4514, eissn: 2188-8299, Copyright policy )
Authors: Wang, Zhi-Wei; Nagasawa, Hiroyuki; Nishiyama, Noriyuki;

doi: 10.15807/jorsj.39.176

AN ALGORITHM FOR A MULTIOBJECTIVE, MULTILEVEL LINEAR PROGRAMMING

Abstract

Summary: This paper discusses a solution method to a multiobjective, multilevel decentralized system. A decomposition method is proposed for dividing the \(n\)-level problem finally into \(n-2\) single level problems and a two-level problem. A method with domination trees based on the ``two-level simplex algorithm'' is developed for generating the nondominated solutions to this type of \(n\)-level decentralized system.

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Keywords

Hierarchical systems, Management decision making, including multiple objectives, Linear programming, decomposition method, two-level simplex algorithm, Theory of organizations, manpower planning in operations research, Multi-objective and goal programming, multiobjective, multilevel decentralized system

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold