Document Open Access Logo

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

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



PDF
Thumbnail PDF

File

DagSemProc.09261.9.pdf
  • Filesize: 94 kB
  • 2 pages

Document Identifiers

Author Details

Marie-Claude Cote
Bernard Gendron
Louis-Martin Rousseau

Cite AsGet BibTex

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)
https://doi.org/10.4230/DagSemProc.09261.9

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.
Keywords
  • Shift Scheduling
  • Implicit models
  • Integer Programming
  • Context-free grammars

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail