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A Capacitated EMS Location Model with Site Interdependencies

In: Operations Research Proceedings 2019

Author

Listed:
  • Matthias Grot

    (Faculty of Management and Economics)

  • Tristan Becker

    (School of Business and Economics)

  • Pia Mareike Steenweg

    (School of Business and Economics)

  • Brigitte Werners

    (Faculty of Management and Economics)

Abstract

A rapid response to emergencies is particularly important. When an emergency call arrives at a site that is currently busy, the call is forwarded to a different site. Thus, the busy fraction of each site depends not only on the assigned area but also on the interactions with other sites. Typically, the frequency of emergency calls differs throughout the city area. The assumption made by existing standard models for ambulance location of an average server busy fraction may over- or underestimate the actual coverage. Thus, we introduce a new mixed-integer linear programming formulation with an upper bound for the busy fraction of each site to explicitly model site interdependencies. We apply our mathematical model to a realistic case of a local EMS provider and evaluate the optimal results provided by the model using a discrete event simulation. The performance of the emergency network is improved compared to existing standard ambulance location models.

Suggested Citation

  • Matthias Grot & Tristan Becker & Pia Mareike Steenweg & Brigitte Werners, 2020. "A Capacitated EMS Location Model with Site Interdependencies," Operations Research Proceedings, in: Janis S. Neufeld & Udo Buscher & Rainer Lasch & Dominik Möst & Jörn Schönberger (ed.), Operations Research Proceedings 2019, pages 349-355, Springer.
    • Handle: RePEc:spr:oprchp:978-3-030-48439-2_42
    DOI: 10.1007/978-3-030-48439-2_42
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