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A Probabilistic Fire‐Protection Siting Model With Joint Vehicle Reliability Requirements

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  • Vladimir Marianov
  • Charles ReVelle

Abstract

ABSTRACT A probabilistic fire‐protection siting model is described that places capacitated stations, engine companies, and truck companies in such a way that the population or calls covered by an engine and a truck with a joint reliability of at least α is maximized. Probabilistic constraints are developed and numerical equivalents are found for the probability requirement for proximate server presence. The multiple co‐location of servers at stations and the use of stations with a limited capacity are also investigated. Structures are utilized that preserve the integer properties when the model is solved by linear programming relaxation.

Suggested Citation

  • Vladimir Marianov & Charles ReVelle, 1992. "A Probabilistic Fire‐Protection Siting Model With Joint Vehicle Reliability Requirements," Papers in Regional Science, Wiley Blackwell, vol. 71(3), pages 217-241, July.
    • Handle: RePEc:bla:presci:v:71:y:1992:i:3:p:217-241
    DOI: 10.1111/j.1435-5597.1992.tb01844.x
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    Cited by:

    1. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
    2. Soovin Yoon & Laura A. Albert & Veronica M. White, 2021. "A Stochastic Programming Approach for Locating and Dispatching Two Types of Ambulances," Transportation Science, INFORMS, vol. 55(2), pages 275-296, March.
    3. Yoon, Soovin & Albert, Laura A., 2020. "A dynamic ambulance routing model with multiple response," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    4. Marianov, Vladimir & ReVelle, Charles, 1996. "The Queueing Maximal availability location problem: A model for the siting of emergency vehicles," European Journal of Operational Research, Elsevier, vol. 93(1), pages 110-120, August.
    5. Revelle, Charles & Snyder, Stephanie, 1995. "Integrated fire and ambulance siting: A deterministic model," Socio-Economic Planning Sciences, Elsevier, vol. 29(4), pages 261-271, December.

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