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Abstract Contraflow Models and Solution Procedures for Evacuation Planning

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  • Tanka Nath Dhamala
  • Urmila Pyakurel
  • Ram Chandra Dhungana

Abstract

The abstract flow model deals with the flow paths (routes) that satisfy the switching property. Contraflow is a widely accepted solution approach that increases the flow and decreases the evacuation time making the traffic smooth during evacuation by reversing the required road directions from the risk areas to the safe places. In this paper, we integrate the concepts of abstract flow and contraflow, give mathematical formulations of these models and present efficient algorithms for solving the abstract contraflow problems. The efficient solution procedures are presented for maximum dynamic, lexicographically maximum and earliest arrival abstract contraflow problems. This approach maximizes the flow value in given time and seeks to eliminate the crossing conflicts.

Suggested Citation

  • Tanka Nath Dhamala & Urmila Pyakurel & Ram Chandra Dhungana, 2018. "Abstract Contraflow Models and Solution Procedures for Evacuation Planning," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(4), pages 89-100, August.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:4:p:89
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    References listed on IDEAS

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    5. Urmila Pyakurel & Tanka Nath Dhamala & Stephan Dempe, 2017. "Efficient continuous contraflow algorithms for evacuation planning problems," Annals of Operations Research, Springer, vol. 254(1), pages 335-364, July.
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    More about this item

    Keywords

    Abstract flow; evacuation planning; contraflow; maximum flow; earliest arrival flow;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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