Column generation in the integral simplex method

Elina Rönnberg and Torbjörn Larsson

European Journal of Operational Research, 2009, vol. 192, issue 1, 333-342

Abstract: The integral simplex method for set partitioning problems allows only pivots-on-one to be made, which results in a primal all-integer method. In this technical note we outline how to tailor the column generation principle to this method. Because of the restriction to pivots-on-one, only local optimality can be guaranteed, and to ensure global optimality we consider the use of implicit enumeration.

Keywords: Integer; programming; Set; partitioning; Column; generation; Implicit; enumeration; Quasi-integrality (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:192:y:2009:i:1:p:333-342

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