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Contributions to Branch-and-Price-and-Cut Algorithms for Routing Problems

In: Operations Research Proceedings 2018

Author

Listed:
  • Ann-Kathrin Rothenbächer

    (Johannes Gutenberg University)

Abstract

This article deals with new exact branch-and-price-and-cut algorithms for the solution of routing problems. Specialized methods for the pickup-and-delivery problem (PDP), the truck-and-trailer routing problem (TTRP), the periodic vehicle routing problem (PVRP) and a service network design and hub location problem (SNDHLP) are presented. We develop a new technique for the acceleration of bidirectional labeling algorithms by a dynamic choice of the merge point. Moreover, for variants of the PDP, the bidirectional labeling can be effectively applied for the first time. In the TTRP, we model the extension to a 2 days planning horizon and the consideration of a quantity-dependent transfer time. The PVRP is treated with full flexible schedule structures for the first time. For these two last-mentioned problems, special techniques to tackle the symmetry are presented. The SNDHLP constitutes a new real-world problem in the application area of combined transport and is also solved with a problem-specific branch-and-price-and-cut algorithm.

Suggested Citation

  • Ann-Kathrin Rothenbächer, 2019. "Contributions to Branch-and-Price-and-Cut Algorithms for Routing Problems," Operations Research Proceedings, in: Bernard Fortz & Martine Labbé (ed.), Operations Research Proceedings 2018, pages 29-35, Springer.
    • Handle: RePEc:spr:oprchp:978-3-030-18500-8_5
    DOI: 10.1007/978-3-030-18500-8_5
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