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Branch-and-Price Solving in G12

Authors: Jakob Puchinger, Peter Stuckey, Mark Wallace, and Sebastian Brand

Published in: Dagstuhl Seminar Proceedings, Volume 9261, Models and Algorithms for Optimization in Logistics (2009)

Abstract

The G12 project is developing a software environment for stating and solving combinatorial problems by mapping a high-level model of the problem to an efficient combination of solving methods. Model annotations are used to control this process. In this paper we explain the mapping to branch-and-price solving. G12 supports the selection of specialised subproblem solvers, the aggregation of identical subproblems, automatic disaggregation when required by search, and the use of specialised branching rules. We demonstrate the benefits of the G12 framework on three examples: a trucking problem, cutting stock, and two-dimensional bin packing.

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Jakob Puchinger, Peter Stuckey, Mark Wallace, and Sebastian Brand. Branch-and-Price Solving in G12. In Models and Algorithms for Optimization in Logistics. Dagstuhl Seminar Proceedings, Volume 9261, pp. 1-3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{puchinger_et_al:DagSemProc.09261.6,
  author =	{Puchinger, Jakob and Stuckey, Peter and Wallace, Mark and Brand, Sebastian},
  title =	{{Branch-and-Price Solving in G12}},
  booktitle =	{Models and Algorithms for Optimization in Logistics},
  pages =	{1--3},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9261},
  editor =	{Cynthia Barnhart and Uwe Clausen and Ulrich Lauther and Rolf H. M\"{o}hring},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09261.6},
  URN =		{urn:nbn:de:0030-drops-21641},
  doi =		{10.4230/DagSemProc.09261.6},
  annote =	{Keywords: Combinatorial optimization, branch-and-price, software}
}

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Branch-and-Price Solving in G12

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