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Modular Petri net modeling of healthcare systems

Author

Listed:
  • Cristian Mahulea

    (University of Zaragoza)

  • Liliana Mahulea

    (Servicio Aragonés de la Salud)

  • Juan Manuel García Soriano

    (Servicio Aragonés de la Salud)

  • José Manuel Colom

    (University of Zaragoza)

Abstract

This paper presents a modular approach for modeling healthcare systems using Petri nets. It is shown that a healthcare system can be constructed by different modules whose inputs and outputs are connected according to their geographical location. Each module can be modeled in two phases: (1) obtain the sequences of treatments and cares received by a patient in the case of a particular disease/condition, and (2) add the resources necessary to perform the previous sequences. The global model is obtained by fusion the inputs and outputs of the modules and by adding information on the patients. The constructed modules together with the resources are Petri nets belonging to a new subclass called healthcare Petri nets that is proved to have equivalent behavior with $$S^4{\textit{PR}}$$ S 4 PR nets, a well-known class of Resource Allocation Systems. This allows us to apply the structural results already existing in the literature for $$S^4{\textit{PR}}$$ S 4 PR to the context of healthcare systems. In order to illustrate the results, a case study of a public healthcare area in Zaragoza is considered as a use case.

Suggested Citation

  • Cristian Mahulea & Liliana Mahulea & Juan Manuel García Soriano & José Manuel Colom, 2018. "Modular Petri net modeling of healthcare systems," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 329-357, June.
    • Handle: RePEc:spr:flsman:v:30:y:2018:i:1:d:10.1007_s10696-017-9283-9
    DOI: 10.1007/s10696-017-9283-9
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    References listed on IDEAS

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    1. Homer, J.B. & Hirsch, G.B., 2006. "System dynamics modeling for public health: Background and opportunities," American Journal of Public Health, American Public Health Association, vol. 96(3), pages 452-458.
    2. J B Jun & S H Jacobson & J R Swisher, 1999. "Application of discrete-event simulation in health care clinics: A survey," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(2), pages 109-123, February.
    3. Lamiri, Mehdi & Xie, Xiaolan & Dolgui, Alexandre & Grimaud, Frederic, 2008. "A stochastic model for operating room planning with elective and emergency demand for surgery," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1026-1037, March.
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    Cited by:

    1. Chang Wook Kang & Muhammad Imran & Muhammad Omair & Waqas Ahmed & Misbah Ullah & Biswajit Sarkar, 2019. "Stochastic-Petri Net Modeling and Optimization for Outdoor Patients in Building Sustainable Healthcare System Considering Staff Absenteeism," Mathematics, MDPI, vol. 7(6), pages 1-26, June.

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