Skip to main content

A Bayesian Model for Describing and Predicting the Stochastic Demand of Emergency Calls

  • Conference paper
  • First Online:
Bayesian Statistics in Action (BAYSM 2016)

Abstract

Emergency Medical Service (EMS) systems aim at providing immediate medical care in case of emergency. A careful planning is a major prerequisite for the success of an EMS system, in particular to reduce the response time to emergency calls. Unfortunately, the demand for emergency services is highly variable and uncertainty should not be neglected while planning the activities. Thus, it is of fundamental importance to predict the number of future emergency calls and their interarrival times to support the decision-making process. In this paper, we propose a Bayesian model to predict the number of emergency calls in future time periods. Calls are described by means of a generalized linear mixed model, whose posterior densities of parameters are obtained through Markov Chain Monte Carlo simulation. Moreover, predictions are given in terms of their posterior predictive probabilities. Results from the application to a relevant real case show the applicability of the model in the practice and validate the approach.

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
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Argiento, R., Guglielmi, A., Lanzarone, E., Nawajah, I.: A Bayesian framework for describing and predicting the stochastic demand of home care patients. Flex. Serv. Manuf. J. 28, 254–279 (2016)

    Article  Google Scholar 

  2. Argiento, R., Guglielmi, A., Lanzarone, E., Nawajah, I.: Bayesian joint modeling of the health profile and demand of home care patients. IMA J. Manag. Math. (2016). doi:10.1093/imaman/dpw001

  3. Bélanger, V., Ruiz, A., Soriano, P.: Recent advances in emergency medical services management. Working document, Faculty of Business Administration of Laval University (2015)

    Google Scholar 

  4. Bélanger, V., Kergosien, Y., Ruiz, A., Soriano, P.: An empirical comparison of relocation strategies in real-time ambulance fleet management. Comput. Ind. Eng. 94, 216–229 (2016)

    Article  Google Scholar 

  5. Cadigan, R.T., Bugarin, C.E.: Predicting demand for emergency ambulance service. Ann. Emerg. Med. 18, 618–621 (1989)

    Article  Google Scholar 

  6. Channouf, N., L’Ecuyer, P., Ingolfsson, A., Avramidis, A.N.: The application of forecasting techniques to modeling emergency medical system calls in Calgary, Alberta. Health Care Manag. Sci. 10, 25–45 (2007)

    Article  Google Scholar 

  7. Crowe, J.: Une approche hybride pour la confection d’horaires des paramédics. Master thesis, HEC Montréal (2007)

    Google Scholar 

  8. Gelman, A., Rubin, D.B.: Inference from iterative simulation using multiple sequences (with discussion). Stat. Sci. 7, 457–511 (1992)

    Article  Google Scholar 

  9. Gelman, A., Carlin, J.B., Stern, H.S., Rubin, D.B.: Bayesian Data Analysis, 2nd edn. Chapman and Hall/CRC, Boca Raton (2003)

    MATH  Google Scholar 

  10. Kamenetsky, R., Shuman, L., Wolfe, H.: Estimating need and demand for prehospital care. Oper. Res. 30, 1148–1167 (1982)

    Article  Google Scholar 

  11. Kergosien, Y., Bélanger, V., Soriano, P., Gendreau, M., Ruiz, A.: A generic and flexible simulation-based analysis tool for EMS management. Int. J. Prod. Res. 53, 7299–7316 (2015)

    Article  Google Scholar 

  12. McConnell, C.E., Wilson, R.W.: The demand for prehospital emergency services in an aging society. Soc. Sci. Med. 46, 1027–1031 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vittorio Nicoletta .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Nicoletta, V., Lanzarone, E., Guglielmi, A., Bélanger, V., Ruiz, A. (2017). A Bayesian Model for Describing and Predicting the Stochastic Demand of Emergency Calls. In: Argiento, R., Lanzarone, E., Antoniano Villalobos, I., Mattei, A. (eds) Bayesian Statistics in Action. BAYSM 2016. Springer Proceedings in Mathematics & Statistics, vol 194. Springer, Cham. https://doi.org/10.1007/978-3-319-54084-9_19

Download citation

Publish with us

Policies and ethics