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Mathematical Programming
Article . 1990 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 1990
Data sources: zbMATH Open
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Article . 2017
Data sources: DBLP
https://dx.doi.org/10.1007/bf0...
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The generalized assignment problem: Valid inequalities and facets

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1990 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 46, pages 31-52 (issn: 0025-5610, eissn: 1436-4646, Copyright policy )
Authors: Elsie Sterbin Gottlieb; M. R. Rao;

doi: 10.1007/bf01585725

The generalized assignment problem: Valid inequalities and facets

Abstract

The authors present various classes of valid inequalities and study properties of facet defining inequalities for the polytope associated with the generalized assignment problem. It is proved that a basic fractional solution to the linear programming relaxation can be eliminated by a facet associated with an individual knapsack constraint.

Related Organizations
Keywords

knapsack, Linear programming, Polytopes and polyhedra, polytope, Boolean programming, facet defining inequalities, valid inequalities, generalized assignment

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    popularity
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    influence
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Powered by OpenAIRE graph
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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!
30
Top 10%
Top 10%
Top 10%
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