On the construction of test problems for concave minimization algorithms
Identifieur interne : 000541 ( Istex/Corpus ); précédent : 000540; suivant : 000542On the construction of test problems for concave minimization algorithms
Auteurs : Nguyen V. ThoaiSource :
- Journal of Global Optimization [ 0925-5001 ] ; 1994-12-01.
Abstract
Abstract: We construct some classes of test problems of minimizing a concave or, more general, quasiconcave function over a polyhedral set. These test problems fulfil the general requirement that they have a global solution at a known point which is suitably chosen on the boundary of the feasible set.
Url:
DOI: 10.1007/BF01096688
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Thoai</name><affiliation><mods:affiliation>Department of Mathematics, University of Trier, 54286, Trier, Germany</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: thoai@orsun2.uni-trier.de</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:4C460AFF12E3520F1EA85E593B4DA9BF69850AC3</idno><date when="1994" year="1994">1994</date><idno type="doi">10.1007/BF01096688</idno><idno type="url">https://api.istex.fr/document/4C460AFF12E3520F1EA85E593B4DA9BF69850AC3/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000541</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000541</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On the construction of test problems for concave minimization algorithms</title><author><name sortKey="Thoai, Nguyen V" sort="Thoai, Nguyen V" uniqKey="Thoai N" first="Nguyen V." last="Thoai">Nguyen V. Thoai</name><affiliation><mods:affiliation>Department of Mathematics, University of Trier, 54286, Trier, Germany</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: thoai@orsun2.uni-trier.de</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Global Optimization</title><title level="j" type="sub">An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management, and Engineer</title><title level="j" type="abbrev">J Glob Optim</title><idno type="ISSN">0925-5001</idno><idno type="eISSN">1573-2916</idno><imprint><publisher>Kluwer Academic Publishers</publisher><pubPlace>Dordrecht</pubPlace><date type="published" when="1994-12-01">1994-12-01</date><biblScope unit="volume">5</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="399">399</biblScope><biblScope unit="page" to="402">402</biblScope></imprint><idno type="ISSN">0925-5001</idno></series><idno type="istex">4C460AFF12E3520F1EA85E593B4DA9BF69850AC3</idno><idno type="DOI">10.1007/BF01096688</idno><idno type="ArticleID">BF01096688</idno><idno type="ArticleID">Art8</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0925-5001</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We construct some classes of test problems of minimizing a concave or, more general, quasiconcave function over a polyhedral set. 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Algorithms</title><publicationDate>1990</publicationDate></json:item><json:item><author><json:item><name>W,W Hager</name></json:item><json:item><name>P,M Pardalos</name></json:item><json:item><name>I,M Roussos</name></json:item><json:item><name>H,D Sahinoglou</name></json:item></author><host><pages><last>511</last><first>499</first></pages><author></author><title>Active Constraints, Indefinite Quadratic Programming, and Test Problems</title><publicationDate>1991</publicationDate></host><publicationDate>1991</publicationDate></json:item><json:item><author><json:item><name>R Horst</name></json:item><json:item><name>N,V Thoai</name></json:item></author><host><volume>42</volume><pages><last>289</last><first>271</first></pages><author></author><title>Computing</title><publicationDate>1989</publicationDate></host><title>Modification, Implementation and Comparison of Three Algorithms for Globally Solving Linearly Constrained Concave Minimization Problems</title><publicationDate>1989</publicationDate></json:item><json:item><author><json:item><name>R Horst</name></json:item><json:item><name>H Tuy</name></json:item></author><host><author></author><title>Global Optimization: Deterministic Approaches</title><publicationDate>1993</publicationDate></host><publicationDate>1993</publicationDate></json:item><json:item><author><json:item><name>R Horst</name></json:item><json:item><name>N,V Thoai</name></json:item><json:item><name>H,P Benson</name></json:item></author><host><pages><last>274</last><first>259</first></pages><author></author><title>Con Minimization via Conical Partitions and Polyhedral Outer Approximation</title><publicationDate>1991</publicationDate></host><publicationDate>1991</publicationDate></json:item><json:item><author><json:item><name>B Kalantari</name></json:item><json:item><name>J,B 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