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Journal of the Operations Research Society of Japan
Article . 1995 . Peer-reviewed
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Journal of the Operations Research Society of Japan
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OUTER APPROXIMATION ALGORITHMS FOR LOWER RANK BILINEAR PROGRAMMING PROBLEMS

Outer approximation algorithms for lower rank bilinear programming problems
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:The Operations Research Society of JapanJournal:Journal of the Operations Research Society of Japan, volume 38, pages 230-239 (issn: 0453-4514, eissn: 2188-8299, Copyright policy )
Authors: Yajima, Yasutoshi; Konno, Hiroshi;

doi: 10.15807/jorsj.38.230

OUTER APPROXIMATION ALGORITHMS FOR LOWER RANK BILINEAR PROGRAMMING PROBLEMS

Abstract

Summary: Two outer approximation algorithms for lower rank bilinear programming problems are developed. The first algorithm can generate an \(\varepsilon\)-optimal solution rather efficiently when the rank of the objective function is less than five. The second algorithm is exact and finitely convergent, yet with slower convergent property, compared to the first.

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Keywords

outer approximation algorithms, Quadratic programming, lower rank bilinear programming, \(\varepsilon\)-optimal solution

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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!
3
Average
Average
Average
gold