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Network Reconfiguration with Orientation-Dependent Transit Times

Author

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  • Hari Nandan Nath
  • Urmila Pyakurel
  • Tanka Nath Dhamala
  • Fernando Bobillo

Abstract

Motivated by applications in evacuation planning, we consider a problem of optimizing flow with arc reversals in which the transit time depends on the orientation of the arc. In the considered problems, the transit time on an arc may change when it is reversed, contrary to the problems considered in the existing literature. Extending the existing idea of auxiliary network construction to allow asymmetric transit time on arcs, we present strongly polynomial time algorithms for solving single-source-single-sink maximum dynamic contraflow problem and quickest contraflow problem. The results are substantiated by a computational experiment in a Kathmandu road network. An algorithm to solve the corresponding earliest arrival contraflow problem with a pseudo-polynomial-time complexity is also presented. The partial contraflow approach for the corresponding problems has also been discussed.

Suggested Citation

  • Hari Nandan Nath & Urmila Pyakurel & Tanka Nath Dhamala & Fernando Bobillo, 2021. "Network Reconfiguration with Orientation-Dependent Transit Times," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-11, March.
    • Handle: RePEc:hin:jijmms:6613622
    DOI: 10.1155/2021/6613622
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    Cited by:

    1. Pyakurel, Urmila & Khanal, Durga Prasad & Dhamala, Tanka Nath, 2023. "Abstract network flow with intermediate storage for evacuation planning," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1178-1193.

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