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Covering-Location Models for Emergency Situations That Require Multiple Response Units


  • Rajan Batta

    (Department of Industrial Engineering, State University of New York, Buffalo, New York 14260)

  • Narasimha R. Mannur

    (Division of Industrial Engineering, Alfred University, Alfred, New York 14802)


In this paper we propose a new criterion for coverage which is suitable for two kinds of applications: (i) location of fire trucks in a geographical area in which some demands require multiple fire trucks to be within an acceptable distance standard to achieve coverage; and (ii) location of ambulances in an environment in which a large demand volume often leads to the unavailability of the most desirable response unit. The set covering location problem and the maximal covering location problem are examined in the proposed modeling framework. Properties for these models are developed, and limited computational experience is reported.

Suggested Citation

  • Rajan Batta & Narasimha R. Mannur, 1990. "Covering-Location Models for Emergency Situations That Require Multiple Response Units," Management Science, INFORMS, vol. 36(1), pages 16-23, January.
  • Handle: RePEc:inm:ormnsc:v:36:y:1990:i:1:p:16-23

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    Cited by:

    1. Jayaraman, Vaidyanathan & Gupta, Rakesh & Pirkul, Hasan, 2003. "Selecting hierarchical facilities in a service-operations environment," European Journal of Operational Research, Elsevier, vol. 147(3), pages 613-628, June.
    2. 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.
    3. Capar, Ismail & Kuby, Michael & Leon, V. Jorge & Tsai, Yu-Jiun, 2013. "An arc cover–path-cover formulation and strategic analysis of alternative-fuel station locations," European Journal of Operational Research, Elsevier, vol. 227(1), pages 142-151.
    4. Michael J. Fry & Michael J. Magazine & Uday S. Rao, 2006. "Firefighter Staffing Including Temporary Absences and Wastage," Operations Research, INFORMS, vol. 54(2), pages 353-365, April.
    5. Zaki, Ahmed S. & Cheng, Hsing Kenneth & Parker, Barnett R., 1997. "A Simulation Model for the Analysis and Management of An Emergency Service System," Socio-Economic Planning Sciences, Elsevier, vol. 31(3), pages 173-189, September.
    6. 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.
    7. Dirk Degel & Lara Wiesche & Sebastian Rachuba & Brigitte Werners, 2015. "Time-dependent ambulance allocation considering data-driven empirically required coverage," Health Care Management Science, Springer, vol. 18(4), pages 444-458, December.
    8. Rottkemper, Beate & Fischer, Kathrin & Blecken, Alexander, 2012. "A transshipment model for distribution and inventory relocation under uncertainty in humanitarian operations," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 98-109.
    9. Marion Rauner & Michaela Schaffhauser-Linzatti & Helmut Niessner, 2012. "Resource planning for ambulance services in mass casualty incidents: a DES-based policy model," Health Care Management Science, Springer, vol. 15(3), pages 254-269, September.
    10. repec:pal:jorsoc:v:59:y:2008:i:9:d:10.1057_palgrave.jors.2602473 is not listed on IDEAS
    11. Marta Sofia R. Monteiro & Dalila B. M. M. Fontes & Fernando A. C. C. Fontes, 2009. "Restructuring Facility Networks under Economy of Scales," FEP Working Papers 324, Universidade do Porto, Faculdade de Economia do Porto.
    12. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    13. Nepal, Bimal & Lassan, Gregg & Drow, Baba & Chelst, Kenneth, 2009. "A set-covering model for optimizing selection of portfolio of microcontrollers in an automotive supplier company," European Journal of Operational Research, Elsevier, vol. 193(1), pages 272-281, February.
    14. Dipesh J. Patel & Rajan Batta & Rakesh Nagi, 2005. "Clustering Sensors in Wireless Ad Hoc Networks Operating in a Threat Environment," Operations Research, INFORMS, vol. 53(3), pages 432-442, June.
    15. Desheng Dash Wu & Jia Liu & David L. Olson, 2015. "Simulation Decision System on the Preparation of Emergency Resources Using System Dynamics," Systems Research and Behavioral Science, Wiley Blackwell, vol. 32(6), pages 603-615, November.
    16. 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.
    17. Michael K. Lim & Achal Bassamboo & Sunil Chopra & Mark S. Daskin, 2013. "Facility Location Decisions with Random Disruptions and Imperfect Estimation," Manufacturing & Service Operations Management, INFORMS, vol. 15(2), pages 239-249, May.
    18. 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.
    19. 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.
    20. Shariat-Mohaymany, Afshin & Babaei, Mohsen & Moadi, Saeed & Amiripour, Sayyed Mahdi, 2012. "Linear upper-bound unavailability set covering models for locating ambulances: Application to Tehran rural roads," European Journal of Operational Research, Elsevier, vol. 221(1), pages 263-272.
    21. Daniel Serra & Francisco Silva, 2002. "Locating emergency services with priority rules: The priority queuing covering location problem," Economics Working Papers 642, Department of Economics and Business, Universitat Pompeu Fabra, revised May 2008.


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