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Main Title: Selected Topics in Column Generation
Author(s): Lübbecke, Marco E.
Desrosiers, Jacques
Type: Research Paper
Abstract: Dantzig-Wolfe decomposition and column generation, devised for linear programs, is a success story in large scale integer programming. We outline and relate the approaches, and survey mainly recent contributions, not yet found in textbooks. We emphasize the growing understanding of the dual point of view, which has brought considerable progress to the column generation theory and practice. It stimulated careful initializations, sophisticated solution techniques for the restricted master problem and subproblem, as well as better overall performance. Thus, the dual perspective is an ever recurring concept in our selected topics.
Subject(s): Linear Programming
Integer Programming
Column Generation
Dantzig-Wolfe decomposition
Lagrangian Relaxation
Issue Date: 2004
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 90C10 Integer programming
90-02 Research exposition
90C05 Linear programming
90C06 Large-scale problems
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
49M27 Decomposition methods
65K05 Mathematical programming algorithms
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2004, 08
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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