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Lexicographically Maximum Contraflow Problem with Vertex Capacities

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  • Phanindra Prasad Bhandari
  • Shree Ram Khadka
  • Chin-Chia Wu

Abstract

The contraflow approach has been extensively considered in the literature for modeling evacuations and has been claimed, due to its lane-direction-reversal capability, as an efficient idea to speed up the evacuation process. This paper considers the contraflow evacuation model on network with prioritized capacitated vertices that allows evacuees to be held at intermediate spots too, respecting their capacities and priority order. In particular, it studies the maximum flow evacuation planning problem and proposes polynomial and pseudo-polynomial time solution algorithms for static network and dynamic multinetwork, respectively. A real dataset of Kathmandu road network with evacuation spaces is considered to implement the algorithm designed for dynamic multinetwork and to observe its computational performance.

Suggested Citation

  • Phanindra Prasad Bhandari & Shree Ram Khadka & Chin-Chia Wu, 2021. "Lexicographically Maximum Contraflow Problem with Vertex Capacities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-7, February.
  • Handle: RePEc:hin:jijmms:6651135
    DOI: 10.1155/2021/6651135
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