Group design in group testing for COVID-19 : A French case-study - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Rapport (Rapport De Recherche) Année : 2020

Group design in group testing for COVID-19 : A French case-study

Résumé

Group testing is a screening strategy that involves dividing a population into several disjointed groups of subjects. In its simplest implementation, each group is tested with a single test in the first phase, while in the second phase only subjects in positive groups, if any, need to be tested again individually. In this paper, we address the problem of group testing design, which aims to determine a partition into groups of a finite population in such a way that cardinality constraints on the size of each group and a constraint on the expected total number of tests are satisfied while minimizing a linear combination of the expected number of false negative and false positive classifications. First, we show that the properties and model introduced by Aprahmian et al. can be extended to the group test design problem, which is then modeled as a constrained shortest path problem on a specific graph. We design and implement an ad hoc algorithm to solve this problem. On instances based on Santé Publique France data on Covid-19 screening tests, the results of the computational experiments are very promising.
Fichier principal
Vignette du fichier
GroupTesting.pdf (346.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-03000715 , version 1 (12-11-2020)

Identifiants

  • HAL Id : hal-03000715 , version 1

Citer

Tifaout Almeftah, Luce Brotcorne, Diego Cattaruzza, Bernard Fortz, Kaba Keita, et al.. Group design in group testing for COVID-19 : A French case-study. [Research Report] INRIA - Centre Lille Nord Europe. 2020. ⟨hal-03000715⟩
651 Consultations
414 Téléchargements

Partager

Gmail Facebook X LinkedIn More