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Advanced Column Generation Techniques for Crew Pairing Problems

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Tran Van Hoai

    (University of Heidelberg, Interdisciplinary Center for Scientific Computing)

  • Gerhard Reinelt

    (University of Heidelberg, Institute for Computer Science)

  • Hans Georg Bock

    (University of Heidelberg, Interdisciplinary Center for Scientific Computing)

Abstract

Summary Crew pairing problems are often solved using column generation in a branch-and-price framework. The main idea of this approach consists of solving linear programming relaxations for a subset of variables and employing pricing for introducing additional variables with negative reduced costs. Since the dual variables are not bounded, this leads to instability in the standard implementation of this method. Therefore, a so-called stabilized column generation with respective control parameters is suggested to overcome this problem by reducing the number of redundant variables. In this paper we report about possible realizations of this principle and show that the performance of algorithms can be improved significantly.

Suggested Citation

  • Tran Van Hoai & Gerhard Reinelt & Hans Georg Bock, 2005. "Advanced Column Generation Techniques for Crew Pairing Problems," Springer Books, in: Hans Georg Bock & Hoang Xuan Phu & Ekaterina Kostina & Rolf Rannacher (ed.), Modeling, Simulation and Optimization of Complex Processes, pages 203-214, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27170-3_16
    DOI: 10.1007/3-540-27170-8_16
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