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Column Generation for Multi-Matrix Blocking Problems

In: Operations Research Proceedings 2011

Author

Listed:
  • Robert Voll

    (TU Dortmund)

  • Uwe Clausen

    (TU Dortmund
    Fraunhofer-Institut fuer Materialfluss und Logistik)

Abstract

The blocking problem in railroad freight traffic is a tactical routing problem. The problem was modeled as an arc-based MIP in former publications. We reformulate the problem and introduce a new model. The modified objective function can be handled easier without loss of structural information. Nevertheless, real instances cannot be solved by standard algorithms. Therefore, we present a column generation approach. The model is reformulated in a path-based way. We exploit the new model structure in the pricing step. Sets of new paths for each relation are generated in polynomial time.

Suggested Citation

  • Robert Voll & Uwe Clausen, 2012. "Column Generation for Multi-Matrix Blocking Problems," Operations Research Proceedings, in: Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), Operations Research Proceedings 2011, edition 127, pages 281-286, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-29210-1_45
    DOI: 10.1007/978-3-642-29210-1_45
    as

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