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A Time-Indexed Generalized Vehicle Routing Model for Military Aircraft Mission Planning

In: Operations Research Proceedings 2014

Author

Listed:
  • Jorne Bergh

    (KU Leuven, Campus Brussels)

  • Nils-Hassan Quttineh

    (Linköping University)

  • Torbjörn Larsson

    (Linköping University)

  • Jeroen Beliën

    (KU Leuven, Campus Brussels)

Abstract

We introduceVan den Bergh, Jorne a time-indexedQuttineh, Nils-Hassan mixed integer linear programming model for a militaryLarsson, Torbjörn aircraft missionBeliën, Jeroen planning problem, where a fleet of cooperating aircraft should attack a number of ground targets so that the expected effect is maximized. The model is a rich vehicle routing problem and the direct application of a general solver is only practical for scenarios of very moderate sizes. Therefore, a Dantzig–Wolfe decomposition and column generation approach is considered. A column here represents a specific sequence of tasks for one aircraft, and to generate columns, a longest path problem with side constraints is solved. We compare the column generation approach with the time-indexed model with respect to upper bounding quality and conclude that the Dantzig–Wolfe decomposition yields a much stronger formulation of the problem.

Suggested Citation

  • Jorne Bergh & Nils-Hassan Quttineh & Torbjörn Larsson & Jeroen Beliën, 2016. "A Time-Indexed Generalized Vehicle Routing Model for Military Aircraft Mission Planning," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 605-611, Springer.
  • Handle: RePEc:spr:oprchp:978-3-319-28697-6_84
    DOI: 10.1007/978-3-319-28697-6_84
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