IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v34y2017i2d10.1007_s10878-016-9998-7.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-016-9998-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-016-9998-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Huili Zhang & Yinfeng Xu & Xingang Wen, 2015. "Optimal shortest path set problem in undirected graphs," Journal of Combinatorial Optimization, Springer, vol. 29(3), pages 511-530, April.
    2. Mohri, Seyed Sina & Mohammadi, Mehrdad & Gendreau, Michel & Pirayesh, Amir & Ghasemaghaei, Ali & Salehi, Vahid, 2022. "Hazardous material transportation problems: A comprehensive overview of models and solution approaches," European Journal of Operational Research, Elsevier, vol. 302(1), pages 1-38.
    3. Pradhananga, Rojee & Taniguchi, Eiichi & Yamada, Tadashi & Qureshi, Ali Gul, 2014. "Bi-objective decision support system for routing and scheduling of hazardous materials," Socio-Economic Planning Sciences, Elsevier, vol. 48(2), pages 135-148.
    4. Erhan Erkut & Vedat Verter, 1995. "A Framework for Hazardous Materials Transport Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 15(5), pages 589-601, October.
    5. P. Daniel Wright & Matthew J. Liberatore & Robert L. Nydick, 2006. "A Survey of Operations Research Models and Applications in Homeland Security," Interfaces, INFORMS, vol. 36(6), pages 514-529, December.
    6. Sheng Dong & Jibiao Zhou & Changxi Ma, 2020. "Design of a Network Optimization Platform for the Multivehicle Transportation of Hazardous Materials," IJERPH, MDPI, vol. 17(3), pages 1-14, February.
    7. Zhang, Huili & Tong, Weitian & Xu, Yinfeng & Lin, Guohui, 2015. "The Steiner Traveling Salesman Problem with online edge blockages," European Journal of Operational Research, Elsevier, vol. 243(1), pages 30-40.
    8. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    9. Ke, Ginger Y. & Zhang, Huiwen & Bookbinder, James H., 2020. "A dual toll policy for maintaining risk equity in hazardous materials transportation with fuzzy incident rate," International Journal of Production Economics, Elsevier, vol. 227(C).
    10. Esposito Amideo, A. & Scaparra, M.P. & Kotiadis, K., 2019. "Optimising shelter location and evacuation routing operations: The critical issues," European Journal of Operational Research, Elsevier, vol. 279(2), pages 279-295.
    11. Szeto, W.Y. & Farahani, R.Z. & Sumalee, Agachai, 2017. "Link-based multi-class hazmat routing-scheduling problem: A multiple demon approach," European Journal of Operational Research, Elsevier, vol. 261(1), pages 337-354.
    12. Fontaine, Pirmin & Crainic, Teodor Gabriel & Gendreau, Michel & Minner, Stefan, 2020. "Population-based risk equilibration for the multimode hazmat transport network design problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 188-200.
    13. Granat, Janusz & Guerriero, Francesca, 2003. "The interactive analysis of the multicriteria shortest path problem by the reference point method," European Journal of Operational Research, Elsevier, vol. 151(1), pages 103-118, November.
    14. Diaz-Banez, J. M. & Mesa, J. A. & Schobel, A., 2004. "Continuous location of dimensional structures," European Journal of Operational Research, Elsevier, vol. 152(1), pages 22-44, January.
    15. Yingying Kang & Rajan Batta & Changhyun Kwon, 2014. "Value-at-Risk model for hazardous material transportation," Annals of Operations Research, Springer, vol. 222(1), pages 361-387, November.
    16. Verma, Manish & Verter, Vedat, 2010. "A lead-time based approach for planning rail-truck intermodal transportation of dangerous goods," European Journal of Operational Research, Elsevier, vol. 202(3), pages 696-706, May.
    17. Wu, Weitiao & Ma, Jian & Liu, Ronghui & Jin, Wenzhou, 2022. "Multi-class hazmat distribution network design with inventory and superimposed risks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 161(C).
    18. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
    19. Lundin, Johan F., 2012. "Redesigning a closed-loop supply chain exposed to risks," International Journal of Production Economics, Elsevier, vol. 140(2), pages 596-603.
    20. Esfandeh, Tolou & Kwon, Changhyun & Batta, Rajan, 2016. "Regulating hazardous materials transportation by dual toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 20-35.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jcomop:v:34:y:2017:i:2:d:10.1007_s10878-016-9998-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.