Skip to main content

A Capacitated EMS Location Model with Site Interdependencies

  • Conference paper
  • First Online:
Operations Research Proceedings 2019

Part of the book series: Operations Research Proceedings ((ORP))

  • 1928 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Ahmadi-Javid, A., Seyedi, P., Syam, S.S.: A survey of healthcare facility location. Comput. Oper. Res. 79, 223–263 (2017)

    Google Scholar 

  2. Ansari, S., Mclay, L.A., Mayorga, M.E.: A maximum expected covering problem for district design. Transport. Sci. 51(1), 376–390 (2017)

    Google Scholar 

  3. Aringhieri, R., Bruni, M.E., Khodaparasti, S., van Essen, J.T.: Emergency medical services and beyond: addressing new challenges through a wide literature review. Comput. Oper. Res. 78, 349–368 (2017)

    Google Scholar 

  4. Church, R., ReVelle, C.: The maximal covering location problem. Pap. Reg. Sci. 32(1), 101–118 (1974)

    Google Scholar 

  5. Daskin, M.: A maximum expected covering location model: formulation, properties and heuristic solution. Transport. Sci. 17(1), 48–70 (1983)

    Google Scholar 

  6. Shariat-Mohaymany, A., Babaei, M., Moadi, S., Amiripour, S.M.: Linear upper-bound unavailability set covering models for locating ambulances: application to Tehran rural roads. Eur. J. Oper. Res. 221(1), 263–272 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Matthias Grot .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Grot, M., Becker, T., Steenweg, P.M., Werners, B. (2020). A Capacitated EMS Location Model with Site Interdependencies. In: Neufeld, J.S., Buscher, U., Lasch, R., Möst, D., Schönberger, J. (eds) Operations Research Proceedings 2019. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-48439-2_42

Download citation

Publish with us

Policies and ethics