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An improved online evacuation strategy from a convex region on grid networks

Author

Listed:
  • Guiqing Zhang

    (Xi’an Jiaotong University)

  • Yongxi Cheng

    (Xi’an Jiaotong University
    State Key Lab for Manufacturing Systems Engineering)

  • Lan Qin

    (Xi’an Jiaotong University
    State Key Lab for Manufacturing Systems Engineering)

Abstract

This study considers an evacuation problem where an evacuee tries to escape to the boundary of a convex affected area on a grid network. The boundary is unknown to the evacuee and cannot be identified until reaching an arbitrary point of it. We propose an online evacuation strategy with a competitive ratio less than 17.5, which improves the previously best result of 19.5.

Suggested Citation

  • Guiqing Zhang & Yongxi Cheng & Lan Qin, 2018. "An improved online evacuation strategy from a convex region on grid networks," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 44-54, July.
  • Handle: RePEc:spr:jcomop:v:36:y:2018:i:1:d:10.1007_s10878-018-0284-8
    DOI: 10.1007/s10878-018-0284-8
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    References listed on IDEAS

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    1. Gino J. Lim & Mukesh Rungta & M. Reza Baharnemati, 2015. "Reliability analysis of evacuation routes under capacity uncertainty of road links," IISE Transactions, Taylor & Francis Journals, vol. 47(1), pages 50-63, January.
    2. X Chen & F B Zhan, 2008. "Agent-based modelling and simulation of urban evacuation: relative effectiveness of simultaneous and staged evacuation strategies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 25-33, January.
    3. Lan Qin & Yinfeng Xu, 2017. "Fibonacci helps to evacuate from a convex region in a grid network," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 398-413, August.
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