Outer approximation by polyhedral convex sets
Identifieur interne : 001695 ( Istex/Checkpoint ); précédent : 001694; suivant : 001696Outer approximation by polyhedral convex sets
Auteurs : R. Horst [Allemagne] ; Ng. V. Thoai [Viêt Nam] ; H. Tuy [Viêt Nam]Source :
- Operations-Research-Spektrum [ 0171-6468 ] ; 1987-09-01.
Abstract
Summary: This paper deals with outer approximation methods for solving possibly multiextremal global optimization problems. A general theorem on convergence is presented and new classes of outer approximation methods using polyhedral convex sets are derived. The underlying theory is then related to the cut map-separator theory of Eaves and Zangwill. Two constraint dropping strategies are deduced.
Url:
DOI: 10.1007/BF01721096
Affiliations:
Links toward previous steps (curation, corpus...)
Links to Exploration step
ISTEX:663AD5CE69A9C24FF21C8352D35A36939F7CB170Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Outer approximation by polyhedral convex sets</title>
<author><name sortKey="Horst, R" sort="Horst, R" uniqKey="Horst R" first="R." last="Horst">R. Horst</name>
</author>
<author><name sortKey="Thoai, Ng V" sort="Thoai, Ng V" uniqKey="Thoai N" first="Ng. V." last="Thoai">Ng. V. Thoai</name>
</author>
<author><name sortKey="Tuy, H" sort="Tuy, H" uniqKey="Tuy H" first="H." last="Tuy">H. Tuy</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:663AD5CE69A9C24FF21C8352D35A36939F7CB170</idno>
<date when="1987" year="1987">1987</date>
<idno type="doi">10.1007/BF01721096</idno>
<idno type="url">https://api.istex.fr/document/663AD5CE69A9C24FF21C8352D35A36939F7CB170/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000E56</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000E56</idno>
<idno type="wicri:Area/Istex/Curation">000D46</idno>
<idno type="wicri:Area/Istex/Checkpoint">001695</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001695</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Outer approximation by polyhedral convex sets</title>
<author><name sortKey="Horst, R" sort="Horst, R" uniqKey="Horst R" first="R." last="Horst">R. Horst</name>
<affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country>
<wicri:regionArea>Fachbereich IV - Mathematik, Universität Trier, Postfach 3825, D-5500, Trier</wicri:regionArea>
<wicri:noRegion>Trier</wicri:noRegion>
<wicri:noRegion>Trier</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Thoai, Ng V" sort="Thoai, Ng V" uniqKey="Thoai N" first="Ng. V." last="Thoai">Ng. V. Thoai</name>
<affiliation wicri:level="1"><country xml:lang="fr">Viêt Nam</country>
<wicri:regionArea>Institute of Mathematics, BO HO, P.O. Box 631, Hanoi</wicri:regionArea>
<wicri:noRegion>Hanoi</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Tuy, H" sort="Tuy, H" uniqKey="Tuy H" first="H." last="Tuy">H. Tuy</name>
<affiliation wicri:level="1"><country xml:lang="fr">Viêt Nam</country>
<wicri:regionArea>Institute of Mathematics, BO HO, P.O. Box 631, Hanoi</wicri:regionArea>
<wicri:noRegion>Hanoi</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Operations-Research-Spektrum</title>
<title level="j" type="abbrev">OR Spektrum</title>
<idno type="ISSN">0171-6468</idno>
<idno type="eISSN">1436-6304</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<date type="published" when="1987-09-01">1987-09-01</date>
<biblScope unit="volume">9</biblScope>
<biblScope unit="issue">3</biblScope>
<biblScope unit="page" from="153">153</biblScope>
<biblScope unit="page" to="159">159</biblScope>
</imprint>
<idno type="ISSN">0171-6468</idno>
</series>
<idno type="istex">663AD5CE69A9C24FF21C8352D35A36939F7CB170</idno>
<idno type="DOI">10.1007/BF01721096</idno>
<idno type="ArticleID">BF01721096</idno>
<idno type="ArticleID">Art3</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0171-6468</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Summary: This paper deals with outer approximation methods for solving possibly multiextremal global optimization problems. A general theorem on convergence is presented and new classes of outer approximation methods using polyhedral convex sets are derived. The underlying theory is then related to the cut map-separator theory of Eaves and Zangwill. Two constraint dropping strategies are deduced.</div>
</front>
</TEI>
<affiliations><list><country><li>Allemagne</li>
<li>Viêt Nam</li>
</country>
</list>
<tree><country name="Allemagne"><noRegion><name sortKey="Horst, R" sort="Horst, R" uniqKey="Horst R" first="R." last="Horst">R. Horst</name>
</noRegion>
</country>
<country name="Viêt Nam"><noRegion><name sortKey="Thoai, Ng V" sort="Thoai, Ng V" uniqKey="Thoai N" first="Ng. V." last="Thoai">Ng. V. Thoai</name>
</noRegion>
<name sortKey="Tuy, H" sort="Tuy, H" uniqKey="Tuy H" first="H." last="Tuy">H. Tuy</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Istex/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001695 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Checkpoint/biblio.hfd -nk 001695 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Rhénanie |area= UnivTrevesV1 |flux= Istex |étape= Checkpoint |type= RBID |clé= ISTEX:663AD5CE69A9C24FF21C8352D35A36939F7CB170 |texte= Outer approximation by polyhedral convex sets }}
This area was generated with Dilib version V0.6.31. |