IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v19y1973i12p1368-1378.html
   My bibliography  Save this article

Square Root Laws for Fire Engine Response Distances

Author

Listed:
  • Peter Kolesar

    (The New York City-RAND Institute)

  • Edward H. Blum

    (The New York City-RAND Institute)

Abstract

An inverse square-root function is developed for the relation between average response distance and the number of locations at which response units are stationed in a region. Analysis of theoretical models, simulation data, and empirical measurements are used to confirm the square-root model. The square-root response distance model is combined with response distance--response time relations to resolve decision problems important to the management of urban fire departments. The results can be used to find optimal resource allocations given resource constraints and response time standards, or to describe the response time consequences of proposed allocation plans.

Suggested Citation

  • Peter Kolesar & Edward H. Blum, 1973. "Square Root Laws for Fire Engine Response Distances," Management Science, INFORMS, vol. 19(12), pages 1368-1378, August.
    • Handle: RePEc:inm:ormnsc:v:19:y:1973:i:12:p:1368-1378
    DOI: 10.1287/mnsc.19.12.1368
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.19.12.1368
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.19.12.1368?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
    ---><---

    Citations

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


    Cited by:

    1. Benjamin M. Taylor, 2017. "Spatial modelling of emergency service response times," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(2), pages 433-453, February.
    2. Stijn Ferrari & Frank Verboven & Hans Degryse, 2010. "Investment and Usage of New Technologies: Evidence from a Shared ATM Network," American Economic Review, American Economic Association, vol. 100(3), pages 1046-1079, June.
    3. Dmitrii Usanov & G.A. Guido Legemaate & Peter M. van de Ven & Rob D. van der Mei, 2019. "Fire truck relocation during major incidents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(2), pages 105-122, March.
    4. Linda V. Green & Peter J. Kolesar, 2004. "ANNIVERSARY ARTICLE: Improving Emergency Responsiveness with Management Science," Management Science, INFORMS, vol. 50(8), pages 1001-1014, August.
    5. Patrick Sun, 2014. "Quality Competition in Mobile Telecommunications: Evidence from Connecticut," Working Papers 14-05, NET Institute.
    6. Alfonso J. Pedraza-Martinez & Sameer Hasija & Luk N. Van Wassenhove, 2020. "Fleet Coordination in Decentralized Humanitarian Operations Funded by Earmarked Donations," Operations Research, INFORMS, vol. 68(4), pages 984-999, July.
    7. Rettke, Aaron J. & Robbins, Matthew J. & Lunday, Brian J., 2016. "Approximate dynamic programming for the dispatch of military medical evacuation assets," European Journal of Operational Research, Elsevier, vol. 254(3), pages 824-839.
    8. Pavan, Giulia, 2017. "Green Car Adoption and the Supply of Alternative Fuels," TSE Working Papers 17-875, Toulouse School of Economics (TSE).
    9. R B Van der Meer & J Quigley & J E Storbeck, 2005. "Using regression analysis to model the performance of UK Coastguard centres," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 630-641, June.
    10. Peter J. Kolesar, 2012. "OM Forum --Some Lessons on Operations Management Model Implementation Drawn from the RAND Fire Project," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 1-6, January.
    11. Md Shahab Uddin & Pennung Warnitchai, 2020. "Decision support for infrastructure planning: a comprehensive location–allocation model for fire station in complex urban system," 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. 102(3), pages 1475-1496, July.
    12. 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.
    13. N C Simpson & P G Hancock, 2009. "Fifty years of operational research and emergency response," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 126-139, May.
    14. Pieter L. van den Berg & Guido A. G. Legemaate & Rob D. van der Mei, 2017. "Increasing the Responsiveness of Firefighter Services by Relocating Base Stations in Amsterdam," Interfaces, INFORMS, vol. 47(4), pages 352-361, August.
    15. Nurski, Laura & Verboven, Frank, 2014. "Incumbency advantages, distribution networks and exclusivity — Evidence from the European car markets," International Journal of Industrial Organization, Elsevier, vol. 34(C), pages 75-79.
    16. Langevin, André & Mbaraga, Pontien & Campbell, James F., 1996. "Continuous approximation models in freight distribution: An overview," Transportation Research Part B: Methodological, Elsevier, vol. 30(3), pages 163-188, June.

    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:inm:ormnsc:v:19:y:1973:i:12:p:1368-1378. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.