<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-03000715</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-15T08:48:47+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Group design in group testing for COVID-19 : A French case-study</title>
            <author role="aut">
              <persName>
                <forename type="first">Tifaout</forename>
                <surname>Almeftah</surname>
              </persName>
              <idno type="halauthorid">2067176-0</idno>
              <affiliation ref="#struct-433076"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Luce</forename>
                <surname>Brotcorne</surname>
              </persName>
              <idno type="halauthorid">443596-0</idno>
              <affiliation ref="#struct-433076"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Diego</forename>
                <surname>Cattaruzza</surname>
              </persName>
              <email type="md5">af033678aed37bcc77f1db31114ca01e</email>
              <email type="domain">centralelille.fr</email>
              <idno type="idhal" notation="string">diego-cattaruzza</idno>
              <idno type="idhal" notation="numeric">170732</idno>
              <idno type="halauthorid" notation="string">28572-170732</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1814-2547</idno>
              <idno type="IDREF">https://www.idref.fr/181728230</idno>
              <affiliation ref="#struct-410272"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Bernard</forename>
                <surname>Fortz</surname>
              </persName>
              <email type="md5">c5753a2cc4dc5195a282c657dc762c57</email>
              <email type="domain">ulb.ac.be</email>
              <idno type="idhal" notation="string">bernard-fortz</idno>
              <idno type="idhal" notation="numeric">1295516</idno>
              <idno type="halauthorid" notation="string">314648-1295516</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-2355-8926</idno>
              <idno type="IDREF">https://www.idref.fr/197068197</idno>
              <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=YaOdoooAAAAJ</idno>
              <affiliation ref="#struct-433076"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Kaba</forename>
                <surname>Keita</surname>
              </persName>
              <idno type="halauthorid">1001948-0</idno>
              <affiliation ref="#struct-433076"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Martine</forename>
                <surname>Labbé</surname>
              </persName>
              <email type="md5">5abb394d1f1f50d7901e845bb02ddae3</email>
              <email type="domain">ulb.ac.be</email>
              <idno type="idhal" notation="string">martine-labbe</idno>
              <idno type="idhal" notation="numeric">16695</idno>
              <idno type="halauthorid" notation="string">6814-16695</idno>
              <idno type="IDREF">https://www.idref.fr/073280003</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-7471-2308</idno>
              <orgName ref="#struct-303388"/>
              <affiliation ref="#struct-433076"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Maxime</forename>
                <surname>Ogier</surname>
              </persName>
              <email type="md5">39b68cb11dfb390ccef3b1837c6a3dee</email>
              <email type="domain">centralelille.fr</email>
              <idno type="idhal" notation="string">maxime-ogier</idno>
              <idno type="idhal" notation="numeric">15837</idno>
              <idno type="halauthorid" notation="string">30339-15837</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-8503-7632</idno>
              <idno type="IDREF">https://www.idref.fr/17784566X</idno>
              <affiliation ref="#struct-433076"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Frédéric</forename>
                <surname>Semet</surname>
              </persName>
              <email type="md5">9c270c8be000f0be131ac1c2b79da44b</email>
              <email type="domain">centralelille.fr</email>
              <idno type="idhal" notation="string">fredericsemet</idno>
              <idno type="idhal" notation="numeric">3816</idno>
              <idno type="halauthorid" notation="string">17052-3816</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1334-5417</idno>
              <idno type="IDREF">https://www.idref.fr/084649461</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-0113-3801</idno>
              <affiliation ref="#struct-433076"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Frédéric</forename>
                <surname>Semet</surname>
              </persName>
              <email type="md5">9c270c8be000f0be131ac1c2b79da44b</email>
              <email type="domain">centralelille.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2020-11-12 09:39:39</date>
              <date type="whenModified">2026-01-28 12:34:05</date>
              <date type="whenReleased">2020-11-12 09:58:57</date>
              <date type="whenProduced">2020-11-12</date>
              <date type="whenEndEmbargoed">2020-11-12</date>
              <ref type="file" target="https://inria.hal.science/hal-03000715v1/document">
                <date notBefore="2020-11-12"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-03000715v1/file/GroupTesting.pdf" id="file-3000715-2642607">
                <date notBefore="2020-11-12"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="173594">
                <persName>
                  <forename>Frédéric</forename>
                  <surname>Semet</surname>
                </persName>
                <email type="md5">9c270c8be000f0be131ac1c2b79da44b</email>
                <email type="domain">centralelille.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-03000715</idno>
            <idno type="halUri">https://inria.hal.science/hal-03000715</idno>
            <idno type="halBibtex">almeftah:hal-03000715</idno>
            <idno type="halRefHtml">[Research Report] INRIA - Centre Lille Nord Europe. 2020</idno>
            <idno type="halRef">[Research Report] INRIA - Centre Lille Nord Europe. 2020</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-3000715-2642607"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INRIA-LILLE">INRIA Lille - Nord Europe</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="CRISTAL">Centre de Recherche en Informatique, Signal et Automatique de Lille (CRISTAL)</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="CRISTAL-INOCS" corresp="CRISTAL">CRISTAL-INOCS</idno>
            <idno type="stamp" n="LARA">LARA</idno>
            <idno type="stamp" n="UNIV-LILLE">Université de Lille</idno>
            <idno type="stamp" n="TEST-HALCNRS">Collection test HAL CNRS</idno>
            <idno type="stamp" n="TEST3-HALCNRS">TEST3-HALCNRS</idno>
          </seriesStmt>
          <notesStmt>
            <note type="report" n="6">Research Report</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Group design in group testing for COVID-19 : A French case-study</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Tifaout</forename>
                    <surname>Almeftah</surname>
                  </persName>
                  <idno type="halauthorid">2067176-0</idno>
                  <affiliation ref="#struct-433076"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Luce</forename>
                    <surname>Brotcorne</surname>
                  </persName>
                  <idno type="halauthorid">443596-0</idno>
                  <affiliation ref="#struct-433076"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Diego</forename>
                    <surname>Cattaruzza</surname>
                  </persName>
                  <email type="md5">af033678aed37bcc77f1db31114ca01e</email>
                  <email type="domain">centralelille.fr</email>
                  <idno type="idhal" notation="string">diego-cattaruzza</idno>
                  <idno type="idhal" notation="numeric">170732</idno>
                  <idno type="halauthorid" notation="string">28572-170732</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1814-2547</idno>
                  <idno type="IDREF">https://www.idref.fr/181728230</idno>
                  <affiliation ref="#struct-410272"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Bernard</forename>
                    <surname>Fortz</surname>
                  </persName>
                  <email type="md5">c5753a2cc4dc5195a282c657dc762c57</email>
                  <email type="domain">ulb.ac.be</email>
                  <idno type="idhal" notation="string">bernard-fortz</idno>
                  <idno type="idhal" notation="numeric">1295516</idno>
                  <idno type="halauthorid" notation="string">314648-1295516</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-2355-8926</idno>
                  <idno type="IDREF">https://www.idref.fr/197068197</idno>
                  <idno type="GOOGLE SCHOLAR">https://scholar.google.fr/citations?user=YaOdoooAAAAJ</idno>
                  <affiliation ref="#struct-433076"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Kaba</forename>
                    <surname>Keita</surname>
                  </persName>
                  <idno type="halauthorid">1001948-0</idno>
                  <affiliation ref="#struct-433076"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Martine</forename>
                    <surname>Labbé</surname>
                  </persName>
                  <email type="md5">5abb394d1f1f50d7901e845bb02ddae3</email>
                  <email type="domain">ulb.ac.be</email>
                  <idno type="idhal" notation="string">martine-labbe</idno>
                  <idno type="idhal" notation="numeric">16695</idno>
                  <idno type="halauthorid" notation="string">6814-16695</idno>
                  <idno type="IDREF">https://www.idref.fr/073280003</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-7471-2308</idno>
                  <orgName ref="#struct-303388"/>
                  <affiliation ref="#struct-433076"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Maxime</forename>
                    <surname>Ogier</surname>
                  </persName>
                  <email type="md5">39b68cb11dfb390ccef3b1837c6a3dee</email>
                  <email type="domain">centralelille.fr</email>
                  <idno type="idhal" notation="string">maxime-ogier</idno>
                  <idno type="idhal" notation="numeric">15837</idno>
                  <idno type="halauthorid" notation="string">30339-15837</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-8503-7632</idno>
                  <idno type="IDREF">https://www.idref.fr/17784566X</idno>
                  <affiliation ref="#struct-433076"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Frédéric</forename>
                    <surname>Semet</surname>
                  </persName>
                  <email type="md5">9c270c8be000f0be131ac1c2b79da44b</email>
                  <email type="domain">centralelille.fr</email>
                  <idno type="idhal" notation="string">fredericsemet</idno>
                  <idno type="idhal" notation="numeric">3816</idno>
                  <idno type="halauthorid" notation="string">17052-3816</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1334-5417</idno>
                  <idno type="IDREF">https://www.idref.fr/084649461</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-0113-3801</idno>
                  <affiliation ref="#struct-433076"/>
                </author>
              </analytic>
              <monogr>
                <imprint>
                  <date type="datePub">2020-11-12</date>
                </imprint>
                <authority type="institution">INRIA - Centre Lille Nord Europe</authority>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">COVID-19</term>
                <term xml:lang="en">Group testing</term>
                <term xml:lang="en">Group design</term>
                <term xml:lang="en">Constrained shortest path</term>
                <term xml:lang="en">Dynamic programming</term>
              </keywords>
              <classCode scheme="https://dl.acm.org/ccs" n="ACM2012.G"/>
              <classCode scheme="https://dl.acm.org/ccs" n="ACM2012.G.4.1.0.0"/>
              <classCode scheme="https://dl.acm.org/ccs" n="ACM2012.G.4.1.0"/>
              <classCode scheme="halDomain" n="info.info-ro">Computer Science [cs]/Operations Research [math.OC]</classCode>
              <classCode scheme="halTypology" n="REPORT">Reports</classCode>
              <classCode scheme="halOldTypology" n="REPORT">Reports</classCode>
              <classCode scheme="halTreeTypology" n="REPORT.RESREPORT">Reports - Research report</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>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.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-433076" status="VALID">
          <idno type="RNSR">201521338H</idno>
          <idno type="ROR">https://ror.org/00hxn0m30</idno>
          <orgName>Integrated Optimization with Complex Structure</orgName>
          <orgName type="acronym">INOCS</orgName>
          <date type="start">2018-02-27</date>
          <date type="end">2027-12-31</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/inocs</ref>
          </desc>
          <listRelation>
            <relation active="#struct-104752" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-303388" type="direct"/>
            <relation active="#struct-410272" type="direct"/>
            <relation name="UMR9189" active="#struct-120930" type="indirect"/>
            <relation name="UMR9189" active="#struct-374570" type="indirect"/>
            <relation name="UMR9189" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-410272" status="VALID">
          <idno type="IdRef">18388695X</idno>
          <idno type="RNSR">201521249L</idno>
          <idno type="ROR">https://ror.org/05vrs3189</idno>
          <idno type="Wikidata">Q116959497</idno>
          <orgName>Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189</orgName>
          <orgName type="acronym">CRIStAL</orgName>
          <date type="start">2015-01-01</date>
          <desc>
            <address>
              <addrLine>Université de Lille - Campus scientifique - Bâtiment ESPRIT - Avenue Henri Poincaré - 59655 Villeneuve d’Ascq</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cristal.univ-lille.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR9189" active="#struct-120930" type="direct"/>
            <relation name="UMR9189" active="#struct-374570" type="direct"/>
            <relation name="UMR9189" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-104752" status="VALID">
          <idno type="RNSR">200818245B</idno>
          <idno type="ROR">https://ror.org/04eej9726</idno>
          <orgName>Centre Inria de l'Université de Lille</orgName>
          <desc>
            <address>
              <addrLine>Parc Scientifique de la Haute Borne 40, avenue Halley Bât.A, Park Plaza 59650 Villeneuve d'Ascq</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/lille/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-303388" status="VALID">
          <idno type="IdRef">034905812</idno>
          <idno type="ISNI">0000 0001 2348 0746</idno>
          <idno type="ROR">https://ror.org/01r9htc13</idno>
          <orgName>Université libre de Bruxelles = Free University of Brussels</orgName>
          <orgName type="acronym">ULB</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>Avenue Franklin Roosevelt 50 - 1050 Bruxelles</addrLine>
              <country key="BE"/>
            </address>
            <ref type="url">https://www.ulb.be/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-120930" status="VALID">
          <idno type="IdRef">256304629</idno>
          <idno type="ISNI">0000000122034461</idno>
          <idno type="ROR">https://ror.org/01x441g73</idno>
          <orgName>Centrale Lille</orgName>
          <desc>
            <address>
              <addrLine>École Centrale de Lille - Cité Scientifique - CS 20048 59651 Villeneuve d'Ascq Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://centralelille.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-374570" status="VALID">
          <idno type="IdRef">223446556</idno>
          <idno type="ISNI">0000 0001 2242 6780</idno>
          <idno type="ROR">https://ror.org/02kzqn938</idno>
          <idno type="Wikidata">Q3551621</idno>
          <orgName>Université de Lille</orgName>
          <desc>
            <address>
              <addrLine>EPE Université de Lille. -- 42 rue Paul Duez, 59000 Lille</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-lille.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>