Column generation in the integral simplex method
AbstractThe 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.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 192 (2009)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/eor
Integer programming Set partitioning Column generation Implicit enumeration Quasi-integrality;
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- Sastry Trilochan, . "One and Two Facility Network Design Revisited," IIMA Working Papers WP1998-08-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
- Rönnberg, Elina & Larsson, Torbjörn, 2014. "All-integer column generation for set partitioning: Basic principles and extensions," European Journal of Operational Research, Elsevier, vol. 233(3), pages 529-538.
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