Modeling medical material shortage using Markov processes - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail (Working Paper) Année : 2023

Modeling medical material shortage using Markov processes

Résumé

The management and allocation of health resources, in particular equipment such as ventilators, has been the object of significant interest by a health community that is concerned to avoid new shortages. In this article, we develop a Markov chain based model considering random arrivals and discharges of patients in an intensive care unit requiring ventilator support. We provide a methodology in order to compute the exact probability distribution of the time-shortage, which is the moment where no more ventilators are available. We propose two applications of this model: a preventive traffic signal and a tool to evaluate purchasing decisions. A calibration of parameters based on real empirical data from a French hospital is carried out in order to test the operational use of the model.
Fichier principal
Vignette du fichier
WP-2023-04.pdf (1.66 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04222226 , version 1 (29-09-2023)

Identifiants

  • HAL Id : hal-04222226 , version 1

Citer

Romain Biard, Marc Deschamps, Mostapha Diss, Alexis Roussel. Modeling medical material shortage using Markov processes. 2023. ⟨hal-04222226⟩
30 Consultations
23 Téléchargements

Partager

Gmail Facebook X LinkedIn More