## A Set Partitioning Approach to Shunting

Please always quote using this URN: urn:nbn:de:0297-zib-11326

- The Vehicle Positioning Problem (VPP) is a classical combinatorial optimization problem in public transport planning. A number of models and approaches have been suggested in the literature, which work for small problems, but not for large ones. We propose in this article a novel set partitioning model and an associated column generation solution approach for the VPP. The model provides a tight linear description of the problem. The pricing problem, and hence the LP relaxation itself, can be solved in polynomial resp. pseudo-polynomial time for some versions of the problems.

Author: | Ralf Borndörfer, Carlos Cardonha |
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Document Type: | ZIB-Report |

Tag: | combinatorial packing ; integer programming ; set partitioning ; vehicle positioning |

MSC-Classification: | 90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C06 Large-scale problems |

90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C10 Integer programming | |

90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C27 Combinatorial optimization | |

Contributing Corporation: | CNPq (Sponsor) |

Date of first Publication: | 2009/06/03 |

Series (Serial Number): | ZIB-Report (09-18) |

ISSN: | 1438-0064 |