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For the airplane refueling problem local precedence implies global precedence

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Abstract

We are given \(n\) airplanes, which can refuel one another during the flight. Each airplane has a specific tank volume and gas consumption rate. The goal of the airplane refueling problem is to find a drop out permutation for the planes that maximizes the distance traveled by the last plane to drop out. This paper studies some structural properties of the problem and proposes pruning rules for an exact resolution.

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Acknowledgments

The author would like to thank Christoph Dürr for several helpful conversations. This work is supported by ANR-Netoc.

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Authors and Affiliations

  1. Industrial Engineering Department, University of Santiago of Chile, Santiago, Chile

    Oscar C. Vásquez

  2. LIP6, Université Pierre et Marie Curie, Paris, France

    Oscar C. Vásquez

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  1. Oscar C. Vásquez
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Correspondence to Oscar C. Vásquez.

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Vásquez, O.C. For the airplane refueling problem local precedence implies global precedence. Optim Lett 9, 663–675 (2015). https://doi.org/10.1007/s11590-014-0758-2

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  • DOI: https://doi.org/10.1007/s11590-014-0758-2

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