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Grammar-Based Integer Programing Models for Multi-Activity Shift Scheduling

Authors: Marie-Claude Cote, Bernard Gendron, and Louis-Martin Rousseau

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

Abstract

We present a new implicit formulation for shift scheduling problems, using context-free grammars to model regulation in the composition of shifts. From the grammar, we generate an integer programming (IP) model allowing the same set of shifts as Dantzig’s set covering model. When solved by a state-of-the- art IP solver on problems allowing a small number of shifts, our model, the set covering formulation and a typical implicit model from the literature yield comparable solving times. Moreover, on instances where many shifts are allowed, our model is superior and can encode a wider variety of constraints. Among others, multi-activity cases, which cannot be modeled by existing implicit formulations, can easily be captured with grammars.

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Marie-Claude Cote, Bernard Gendron, and Louis-Martin Rousseau. Grammar-Based Integer Programing Models for Multi-Activity Shift Scheduling. In Models and Algorithms for Optimization in Logistics. Dagstuhl Seminar Proceedings, Volume 9261, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{cote_et_al:DagSemProc.09261.9,
  author =	{Cote, Marie-Claude and Gendron, Bernard and Rousseau, Louis-Martin},
  title =	{{Grammar-Based Integer Programing Models for Multi-Activity Shift Scheduling}},
  booktitle =	{Models and Algorithms for Optimization in Logistics},
  pages =	{1--2},
  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.09261.9},
  URN =		{urn:nbn:de:0030-drops-21775},
  doi =		{10.4230/DagSemProc.09261.9},
  annote =	{Keywords: Shift Scheduling, Implicit models, Integer Programming, Context-free grammars}
}

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Grammar-Based Integer Programing Models for Multi-Activity Shift Scheduling

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