The optimal track allocation problem (OPTRA), also known as the train routing problem or the train timetabling problem, is to find, in a given railway network, a conflict-free set of train routes of maximum value. We propose a novel integer programming formulation for this problem that is based on additional `configuration variables. Its LP-relaxation can be solved in polynomial time. These results are the theoretical basis for a column generation algorithm to solve large-scale track allocation problems. Computational results for the Hanover-Kassel-Fulda area of the German long distance railway network involving up to 570 trains are reported.


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    Title :

    Solving railway track allocation problems




    Publication date :

    2007


    Size :

    Online-Ressource (7 S., 281 KB)


    Remarks:

    graph. Darst.
    Förderkennzeichen BMWi 19M4031A
    Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden
    Auch als gedr. Ausg. vorhanden
    Digital preservation by Technische Informationsbibliothek (TIB) / Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek


    Type of media :

    Report


    Type of material :

    Electronic Resource


    Language :

    English


    Classification :

    BKL:    56.25 Schienenbahnbau, Gleisbau / 54.51 Programmiermethodik / 55.85 Schienenverkehr / 31.12 Kombinatorik, Graphentheorie



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