IDEAS home Printed from https://ideas.repec.org/a/eee/transa/v37y2003i7p579-604.html
   My bibliography  Save this article

A network flow model for lane-based evacuation routing

Author

Listed:
  • Cova, Thomas J.
  • Johnson, Justin P.

Abstract

Most traffic delays in regional evacuations occur at intersections. Lane-based routing is one strategy for reducing these delays. This paper presents a network flow model for identifying optimal lane-based evacuation routing plans in a complex road network. The model is an integer extension of the minimum-cost flow problem. It can be used to generate routing plans that trade total vehicle travel-distance against merging, while preventing traffic crossing-conflicts at intersections. A mixed-integer programming solver is used to derive optimal routing plans for a sample network. Manual capacity analysis and microscopic traffic simulation are used to compare the relative efficiency of the plans. An application is presented for Salt Lake City, Utah.

Suggested Citation

  • Cova, Thomas J. & Johnson, Justin P., 2003. "A network flow model for lane-based evacuation routing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(7), pages 579-604, August.
  • Handle: RePEc:eee:transa:v:37:y:2003:i:7:p:579-604
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0965-8564(03)00007-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Pidd, M. & de Silva, F. N. & Eglese, R. W., 1996. "A simulation model for emergency evacuation," European Journal of Operational Research, Elsevier, vol. 90(3), pages 413-419, May.
    2. Ziliaskopoulos, Athanasios K. & Mahmassani, Hani S., 1996. "A note on least time path computation considering delays and prohibitions for intersection movements," Transportation Research Part B: Methodological, Elsevier, vol. 30(5), pages 359-367, October.
    3. Antoine G. Hobeika & Sigon Kim & Robert E. Beckwith, 1994. "A Decision Support System for Developing Evacuation Plans around Nuclear Power Stations," Interfaces, INFORMS, vol. 24(5), pages 22-35, October.
    4. Sherali, Hanif D. & Carter, Todd B. & Hobeika, Antoine G., 1991. "A location-allocation model and algorithm for evacuation planning under hurricane/flood conditions," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 439-452, December.
    5. MacGregor Smith, J., 1991. "State-dependent queueing models in emergency evacuation networks," Transportation Research Part B: Methodological, Elsevier, vol. 25(6), pages 373-389, December.
    Full references (including those not matched with items on IDEAS)

    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. Altay, Nezih & Green III, Walter G., 2006. "OR/MS research in disaster operations management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 475-493, November.
    2. Firas Rifai, 2018. "Transfer of Knowhow and Experiences from Commercial Logistics into Humanitarian Logistics to Improve Rescue Missions in Disaster Areas," Journal of Management and Sustainability, Canadian Center of Science and Education, vol. 8(3), pages 1-63, August.
    3. 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.
    4. Inmaculada Flores & M. Teresa Ortuño & Gregorio Tirado & Begoña Vitoriano, 2020. "Supported Evacuation for Disaster Relief through Lexicographic Goal Programming," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
    5. Stepanov, Alexander & Smith, James MacGregor, 2009. "Multi-objective evacuation routing in transportation networks," European Journal of Operational Research, Elsevier, vol. 198(2), pages 435-446, October.
    6. Lim, Gino J. & Zangeneh, Shabnam & Reza Baharnemati, M. & Assavapokee, Tiravat, 2012. "A capacitated network flow optimization approach for short notice evacuation planning," European Journal of Operational Research, Elsevier, vol. 223(1), pages 234-245.
    7. Nagarajan, Magesh & Shaw, Duncan & Albores, Pavel, 2012. "Disseminating a warning message to evacuate: A simulation study of the behaviour of neighbours," European Journal of Operational Research, Elsevier, vol. 220(3), pages 810-819.
    8. Chou, Chang-Chi & Chiang, Wen-Chu & Chen, Albert Y., 2022. "Emergency medical response in mass casualty incidents considering the traffic congestions in proximity on-site and hospital delays," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    9. Zhang, Jun & Wu, Aoping & An, Wenyao & Hu, Lu & Zhu, Juanxiu, 2024. "State-dependent multi-agent discrete event simulation for urban rail transit passenger flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 652(C).
    10. Melissa Gama & Bruno Filipe Santos & Maria Paola Scaparra, 2016. "A multi-period shelter location-allocation model with evacuation orders for flood disasters," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(3), pages 299-323, September.
    11. Cuiyun Cheng & Xin Qian & Yuchao Zhang & Qingeng Wang & Jinbao Sheng, 2011. "Estimation of the evacuation clearance time based on dam-break simulation of the Huaxi dam in Southwestern China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 57(2), pages 227-243, May.
    12. Wex, Felix & Schryen, Guido & Feuerriegel, Stefan & Neumann, Dirk, 2014. "Emergency response in natural disaster management: Allocation and scheduling of rescue units," European Journal of Operational Research, Elsevier, vol. 235(3), pages 697-708.
    13. Aaron B. Hoskins & Hugh R. Medal, 2019. "Stochastic programming solution for placement of satellite ground stations," Annals of Operations Research, Springer, vol. 283(1), pages 267-288, December.
    14. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
    15. Dimopoulou, Maria & Giannikos, Ioannis, 2004. "Towards an integrated framework for forest fire control," European Journal of Operational Research, Elsevier, vol. 152(2), pages 476-486, January.
    16. Ouyang, Yanfeng & Wang, Zhaodong & Yang, Hai, 2015. "Facility location design under continuous traffic equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 18-33.
    17. Qing Han, 2013. "Managing Emergencies Optimally Using a Random Neural Network-Based Algorithm," Future Internet, MDPI, vol. 5(4), pages 1-20, October.
    18. Kınay, Ömer Burak & Yetis Kara, Bahar & Saldanha-da-Gama, Francisco & Correia, Isabel, 2018. "Modeling the shelter site location problem using chance constraints: A case study for Istanbul," European Journal of Operational Research, Elsevier, vol. 270(1), pages 132-145.
    19. Donghai Wang & Menghao Xi & Yingzhen Chen, 2020. "A Dynamic Shelter Location and Victim Resettlement Model Considering Equitable Waiting Costs," IJERPH, MDPI, vol. 17(2), pages 1-17, January.
    20. Mahdi Hashemi & Ali Alesheikh, 2013. "GIS: agent-based modeling and evaluation of an earthquake-stricken area with a case study in Tehran, Iran," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 69(3), pages 1895-1917, December.

    More about this item

    Statistics

    Access and download statistics

    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:eee:transa:v:37:y:2003:i:7:p:579-604. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/547/description#description .

    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.