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An exact method for finding shortest routes on a sphere, avoiding obstacles

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  • Alan Washburn
  • Gerald G. Brown

Abstract

On the surface of a sphere, we take as inputs two points, neither of them contained in any of a number of spherical polygon obstacles, and quickly find the shortest route connecting these two points while avoiding any obstacle. The WetRoute method presented here has been adopted by the US Navy for several applications. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 374–385, 2016

Suggested Citation

  • Alan Washburn & Gerald G. Brown, 2016. "An exact method for finding shortest routes on a sphere, avoiding obstacles," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(5), pages 374-385, August.
    • Handle: RePEc:wly:navres:v:63:y:2016:i:5:p:374-385
    DOI: 10.1002/nav.21702
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    References listed on IDEAS

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    1. K Fagerholt & S I Heimdal & A Loktu, 2000. "Shortest path in the presence of obstacles: An application to ocean shipping," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(6), pages 683-688, June.
    2. Viegas, Jose & Hansen, Pierre, 1985. "Finding shortest paths in the plane in the presence of barriers to travel (for any lp - norm)," European Journal of Operational Research, Elsevier, vol. 20(3), pages 373-381, June.
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    Cited by:

    1. Gerald G. Brown & Walter C. DeGrange & Wilson L. Price & Anton A. Rowe, 2017. "Scheduling combat logistics force replenishments at sea for the US Navy," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(8), pages 677-693, December.
    2. Gerald G. Brown & W. Matthew Carlyle, 2020. "Solving the Nearly Symmetric All-Pairs Shortest-Path Problem," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 279-288, April.

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