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The Traveling Salesperson Problem with Forbidden Neighborhoods on Regular 3D Grids

In: Operations Research Proceedings 2017

Author

Listed:
  • Anja Fischer

    (Tehnische Universität Dortmund)

  • Philipp Hungerländer

    (Alpen-Adria-Universität Klagenfurt)

  • Anna Jellen

    (Alpen-Adria-Universität Klagenfurt)

Abstract

We study the traveling salesperson problem with forbidden neighborhoods (TSPFN) on regular three-dimensional (3D) grids. The TSPFN asks for a shortest tour over all grid points such that successive points along a tour have at least some given distance. We present optimal solutions and explicit construction schemes for the Euclidean TSP and the TSPFN, where edges of length one are forbidden, on regular 3D grids.

Suggested Citation

  • Anja Fischer & Philipp Hungerländer & Anna Jellen, 2018. "The Traveling Salesperson Problem with Forbidden Neighborhoods on Regular 3D Grids," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 213-219, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_30
    DOI: 10.1007/978-3-319-89920-6_30
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