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  • 2020-2024  (1)
  • 2010-2014  (2)
  • Englisch  (3)
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  • Englisch  (3)
  • 1
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    Analysis of Micro–Macro Transformations of Railway Networks (2014)
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    Publikationsdatum: 2020-08-05
    Beschreibung: A common technique in the solution of large or complex optimization problems is the use of micro–macro transformations. In this paper, we carry out a theoretical analysis of such transformations for the track allocation problem in railway networks. We prove that the cumulative rounding technique of Schlechte et al. satisfies two of three natural optimality criteria and that this performance cannot be improved. We also show that under extreme circumstances, this technique can perform inconveniently by underestimating the global optimal value.
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
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    Analysis of Micro-Macro Transformations of Railway Networks (2013)
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    Publikationsdatum: 2020-08-05
    Beschreibung: A common technique in the solution of large or complex optimization problems is the use of micro-macro transformations. In this paper, we carry out a theoretical analysis of such transformations for the track allocation problem in railway networks. We prove that the cumulative rounding technique of Schlechte et al. satisfies two of three natural optimality criteria and that this performance cannot be improved. We also show that under extreme circumstances, this technique can perform inconvieniently by underestimating the global optimal value.
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/pdf
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
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    An A* Algorithm for Flight Planning Based on Idealized Vertical Profiles (2022)
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    Publikationsdatum: 2023-08-02
    Beschreibung: The Flight Planning Problem is to find a minimum fuel trajectory between two airports in a 3D airway network under consideration of the wind. We show that this problem is NP-hard, even in its most basic version. We then present a novel A∗ heuristic, whose potential function is derived from an idealized vertical profile over the remaining flight distance. This potential is, under rather general assumptions, both admissible and consistent and it can be computed efficiently. The method outperforms the state-of-the-art heuristic on real-life instances.
    Sprache: Englisch
    Materialart: conferenceobject , doc-type:conferenceObject
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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