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Finding fixed-length circuits and cycles in undirected edge-weighted graphs: an application with street networks

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  • R. Lewis

    (Cardiff University)

  • P. Corcoran

    (Cardiff University)

Abstract

This paper proposes two heuristic algorithms for finding fixed-length circuits and cycles in undirected edge-weighted graphs. It focusses particularly on a largely unresearched practical application where we are seeking attractive round trips for pedestrians and joggers in urban street networks. Our first method is based on identifying suitable pairs of paths that are combined to form a solution; our second is based on local search techniques. Both algorithms display high levels of accuracy, producing solutions within just a few meters of the target. Run times for the local search algorithm are also short, with solutions in large cities often being found in less than one second.

Suggested Citation

  • R. Lewis & P. Corcoran, 2022. "Finding fixed-length circuits and cycles in undirected edge-weighted graphs: an application with street networks," Journal of Heuristics, Springer, vol. 28(3), pages 259-285, June.
    • Handle: RePEc:spr:joheur:v:28:y:2022:i:3:d:10.1007_s10732-022-09493-5
    DOI: 10.1007/s10732-022-09493-5
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    References listed on IDEAS

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    1. David Willems & Oliver Zehner & Stefan Ruzika, 2018. "On a Technique for Finding Running Tracks of Specific Length in a Road Network," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 333-338, Springer.
    2. Boeing, Geoff, 2017. "OSMnx: New Methods for Acquiring, Constructing, Analyzing, and Visualizing Complex Street Networks," SocArXiv q86sd, Center for Open Science.
    3. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    Full references (including those not matched with items on IDEAS)

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