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Mathematical Programming and the Location of Fire Companies for the Denver Fire Department

Author

Listed:
  • Donald R. Plane

    (University of Colorado, Boulder, Colorado)

  • Thomas E. Hendrick

    (University of Colorado, Boulder, Colorado)

Abstract

An operations research study of fire company location in Denver, Colorado, has been conducted, resulting in recommendations that may reduce annual costs by more than one million dollars without a substantial change in the level of fire-suppression capability. One development resulting from this study is a hierarchical objective function for the set-covering problem; this objective function permits the simultaneous minimization of the number of fire stations and the maximization of the number of existing fire stations within the minimum total number of stations. This paper includes discussions of the use of mathematical programming, station configuration information models, the synergism of judgment and analysis, and the action that resulted from the recommendations.

Suggested Citation

  • Donald R. Plane & Thomas E. Hendrick, 1977. "Mathematical Programming and the Location of Fire Companies for the Denver Fire Department," Operations Research, INFORMS, vol. 25(4), pages 563-578, August.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:4:p:563-578
    DOI: 10.1287/opre.25.4.563
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    Cited by:

    1. Norman Keith Womer & Homee Shroff & Thomas Gulledge & Kingsley Haynes, 2003. "Measuring efficiency with a linear economic model," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1459-1467.
    2. M S Daskin & A Haghani, 1984. "Multiple Vehicle Routing and Dispatching to an Emergency Scene," Environment and Planning A, , vol. 16(10), pages 1349-1359, October.
    3. Chevalier, Philippe & Thomas, Isabelle & Geraets, David & Goetghebeur, Els & Janssens, Olivier & Peeters, Dominique & Plastria, Frank, 2012. "Locating fire stations: An integrated approach for Belgium," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 173-182.
    4. Sorensen, Paul & Church, Richard, 2010. "Integrating expected coverage and local reliability for emergency medical services location problems," Socio-Economic Planning Sciences, Elsevier, vol. 44(1), pages 8-18, March.
    5. G Leonardi, 1981. "A Unifying Framework for Public Facility Location Problems—Part 1: A Critical Overview and Some Unsolved Problems," Environment and Planning A, , vol. 13(8), pages 1001-1028, August.
    6. 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.
    7. Huizing, Dylan & Schäfer, Guido & van der Mei, Rob D. & Bhulai, Sandjai, 2020. "The median routing problem for simultaneous planning of emergency response and non-emergency jobs," European Journal of Operational Research, Elsevier, vol. 285(2), pages 712-727.
    8. Masashi Miyagawa, 2020. "Optimal number and length of point-like and line-like facilities of grid and random patterns," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 213-230, April.
    9. 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.
    10. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray, 2011. "Market Coverage and Service Quality in Digital Subscriber Lines Infrastructure Planning," International Regional Science Review, , vol. 34(3), pages 368-390, July.
    11. 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.
    12. Pal, Raktim & Bose, Indranil, 2009. "An optimization based approach for deployment of roadway incident response vehicles with reliability constraints," European Journal of Operational Research, Elsevier, vol. 198(2), pages 452-463, October.
    13. Berman, Oded & Hajizadeh, Iman & Krass, Dmitry & Rahimi-Vahed, Alireza, 2018. "Reconfiguring a set of coverage-providing facilities under travel time uncertainty," Socio-Economic Planning Sciences, Elsevier, vol. 62(C), pages 1-12.
    14. Wang, Wei & Wu, Shining & Wang, Shuaian & Zhen, Lu & Qu, Xiaobo, 2021. "Emergency facility location problems in logistics: Status and perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 154(C).
    15. 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.
    16. 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.
    17. Shroff, HomeeF. E. & Gulledge, Th. R. & Haynes, Kingsley E. & O'Neill, Molly K., 1998. "Siting efficiency of long-term health care facilities," Socio-Economic Planning Sciences, Elsevier, vol. 32(1), pages 25-43, March.
    18. Badri, Masood A. & Mortagy, Amr K. & Alsayed, Colonel Ali, 1998. "A multi-objective model for locating fire stations," European Journal of Operational Research, Elsevier, vol. 110(2), pages 243-260, October.
    19. Ran Wei & Alan Murray & Rajan Batta, 2014. "A bounding-based solution approach for the continuous arc covering problem," Journal of Geographical Systems, Springer, vol. 16(2), pages 161-182, April.
    20. Emel Aktaş & Özay Özaydın & Burçin Bozkaya & Füsun Ülengin & Şule Önsel, 2013. "Optimizing Fire Station Locations for the Istanbul Metropolitan Municipality," Interfaces, INFORMS, vol. 43(3), pages 240-255, May-June.

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