A Column Generation-Based Heuristic for the Line Planning Problem with Service Levels (Short Paper)

Authors Hector Gatt, Jean-Marie Freche, Fabien Lehuédé, Thomas G. Yeung

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Author Details

Hector Gatt
  • IMT Atlantique, LS2N, Nantes France
  • Lumiplan, Saint-Herblain, France
Jean-Marie Freche
  • Lumiplan, Saint-Herblain, France
Fabien Lehuédé
  • IMT Atlantique, LS2N, Nantes, France
Thomas G. Yeung
  • IMT Atlantique, LS2N, Nantes, France

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Hector Gatt, Jean-Marie Freche, Fabien Lehuédé, and Thomas G. Yeung. A Column Generation-Based Heuristic for the Line Planning Problem with Service Levels (Short Paper). In 21st Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2021). Open Access Series in Informatics (OASIcs), Volume 96, pp. 19:1-19:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


This paper addresses the line planning problem by the combination of existing models reinforced with realistic characteristics like lines frequencies intervals or maximum number of lines, useful for public transportation companies. The problem is solved by an innovative, easily implementable, heuristic combining column generation and elementary column enumeration methods. In this paper, the operator’s exploitation costs are minimized while respecting new quality of service parameters addressed to passengers. Furthermore, a case study based on a real network is performed and described in this paper to prove the efficiency of our method.

Subject Classification

ACM Subject Classification
  • Networks → Network design and planning algorithms
  • Line Planning
  • Network Design
  • Column Generation
  • Service Performance


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