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Fibonacci helps to evacuate from a convex region in a grid network

Author

Listed:
  • Lan Qin

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

  • Yinfeng Xu

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

Abstract

This study considers an evacuation problem where the evacuees try to escape to the boundary of an affected area, which is convex, and a grid network is embedded in the area. The boundary is unknown to the evacuees and we propose an online evacuation strategy based on the Fibonacci sequence. This strategy is proved to have a competitive ratio of 19.5, which is better than the best previously reported result of 21.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:34:y:2017:i:2:d:10.1007_s10878-016-9998-7
    DOI: 10.1007/s10878-016-9998-7
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    References listed on IDEAS

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    1. Huili Zhang & Yinfeng Xu & Lan Qin, 2013. "The k-Canadian Travelers Problem with communication," Journal of Combinatorial Optimization, Springer, vol. 26(2), pages 251-265, August.
    2. Rajan Batta & Samuel S. Chiu, 1988. "Optimal Obnoxious Paths on a Network: Transportation of Hazardous Materials," Operations Research, INFORMS, vol. 36(1), pages 84-92, February.
    3. 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.
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    Cited by:

    1. Bin Hu & Fang Pan & Lei Wang, 2019. "A scheduling algorithm for medical emergency rescue aircraft trajectory based on hybrid estimation and intent inference," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 40-61, January.
    2. 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.

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