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Using the Set-Covering Problem to Assign Fire Companies to Fire Houses

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  • Warren Walker

    (The New York City-Rand Institute, New York, New York)

Abstract

This paper gives a set-covering-problem formulation for determining locations for two types of ladder trucks used by the New York City Fire Department. It shows that the formulation can accommodate several different realistic restrictions on the solutions.

Suggested Citation

  • Warren Walker, 1974. "Using the Set-Covering Problem to Assign Fire Companies to Fire Houses," Operations Research, INFORMS, vol. 22(2), pages 275-277, April.
  • Handle: RePEc:inm:oropre:v:22:y:1974:i:2:p:275-277
    DOI: 10.1287/opre.22.2.275
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    Cited by:

    1. 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.
    2. M S Daskin & K Hogan & C ReVelle, 1988. "Integration of Multiple, Excess, Backup, and Expected Covering Models," Environment and Planning B, , vol. 15(1), pages 15-35, March.
    3. Cordeau, Jean-François & Furini, Fabio & Ljubić, Ivana, 2019. "Benders decomposition for very large scale partial set covering and maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 882-896.
    4. 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.
    5. 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).
    6. 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.
    7. D Richard & H Beguin & D Peeters, 1990. "The Location of Fire Stations in a Rural Environment: A Case Study," Environment and Planning A, , vol. 22(1), pages 39-52, January.
    8. Wang, Yiyuan & Pan, Shiwei & Al-Shihabi, Sameh & Zhou, Junping & Yang, Nan & Yin, Minghao, 2021. "An improved configuration checking-based algorithm for the unicost set covering problem," European Journal of Operational Research, Elsevier, vol. 294(2), pages 476-491.

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