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Column Generation in the Integral Simplex Method

Rönnberg, Elina, 1981- (author)
Linköpings universitet,Matematiska institutionen,Tekniska högskolan,Division of Optimization
Larsson, Torbjörn, 1957- (author)
Linköpings universitet,Matematiska institutionen,Tekniska högskolan,Division of Optimization
 (creator_code:org_t)
Elsevier, 2009
2009
English.
In: European Journal of Operational Research. - : Elsevier. - 0377-2217 .- 1872-6860. ; 192:1, s. 333-342
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • The integral simplex method for set partitioning problems allows onlypivots-on-one to be made, which results in a primal all-integer method. Inthis technical note we outline how to tailor the column generationprinciple to this method. Because of the restriction topivots-on-one, only local optimality can be guaranteed, and to ensureglobal optimality we consider the use of implicit enumeration.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

integer programming
set partitioning
column generation
quasi-integrality
Optimization, systems theory
Optimeringslära, systemteori

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