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Journal article

A generic view of Dantzig–Wolfe decomposition in mixed integer programming

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Université Bordeaux 1, 33405 Talence Cedex, France1

Georgia Institute of Technology, Atlanta, GA 30332-0205, USA2

The Dantzig–Wolfe reformulation principle is presented based on the concept of generating sets. The use of generating sets allows for an easy extension to mixed integer programming. Moreover, it provides a unifying framework for viewing various column generation practices, such as relaxing or tightening the column generation subproblem and introducing stabilization techniques.

Language: English
Year: 2005
Pages: 296-306
ISSN: 18727468 and 01676377
Types: Journal article
DOI: 10.1016/j.orl.2005.05.009

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