Alternate approximation of concave cost functions for process design and supply chain optimization problems
Identifieur interne : 005907 ( Main/Exploration ); précédent : 005906; suivant : 005908Alternate approximation of concave cost functions for process design and supply chain optimization problems
Auteurs : Diego C. Cafaro [Argentine] ; Ignacio E. Grossmann [États-Unis]Source :
- Computers & chemical engineering [ 0098-1354 ] ; 2014.
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Abstract
This short note presents an alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization problems. To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes. We illustrate the application and advantages of the proposed approximation.
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Alternate approximation of concave cost functions for process design and supply chain optimization problems</title><author><name sortKey="Cafaro, Diego C" sort="Cafaro, Diego C" uniqKey="Cafaro D" first="Diego C." last="Cafaro">Diego C. Cafaro</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>INTEC (UNL - CONICET)</s1><s2>Güemes 3450,3000 Santa Fe</s2><s3>ARG</s3><sZ>1 aut.</sZ></inist:fA14><country>Argentine</country><wicri:noRegion>INTEC (UNL - CONICET)</wicri:noRegion></affiliation></author><author><name sortKey="Grossmann, Ignacio E" sort="Grossmann, Ignacio E" uniqKey="Grossmann I" first="Ignacio E." last="Grossmann">Ignacio E. Grossmann</name><affiliation wicri:level="4"><inist:fA14 i1="02"><s1>Department of Chemical Engineering, Carnegie Mellon University</s1><s2>Pittsburgh, PA 15213</s2><s3>USA</s3><sZ>2 aut.</sZ></inist:fA14><country>États-Unis</country><placeName><settlement type="city">Pittsburgh</settlement><region type="state">Pennsylvanie</region></placeName><orgName type="university">Université Carnegie-Mellon</orgName></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">14-0117030</idno><date when="2014">2014</date><idno type="stanalyst">PASCAL 14-0117030 INIST</idno><idno type="RBID">Pascal:14-0117030</idno><idno type="wicri:Area/PascalFrancis/Corpus">000C01</idno><idno type="wicri:Area/PascalFrancis/Curation">003A21</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">000D15</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000D15</idno><idno type="wicri:doubleKey">0098-1354:2014:Cafaro D:alternate:approximation:of</idno><idno type="wicri:Area/Main/Merge">005C38</idno><idno type="wicri:Area/Main/Curation">005907</idno><idno type="wicri:Area/Main/Exploration">005907</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Alternate approximation of concave cost functions for process design and supply chain optimization problems</title><author><name sortKey="Cafaro, Diego C" sort="Cafaro, Diego C" uniqKey="Cafaro D" first="Diego C." last="Cafaro">Diego C. Cafaro</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>INTEC (UNL - CONICET)</s1><s2>Güemes 3450,3000 Santa Fe</s2><s3>ARG</s3><sZ>1 aut.</sZ></inist:fA14><country>Argentine</country><wicri:noRegion>INTEC (UNL - CONICET)</wicri:noRegion></affiliation></author><author><name sortKey="Grossmann, Ignacio E" sort="Grossmann, Ignacio E" uniqKey="Grossmann I" first="Ignacio E." last="Grossmann">Ignacio E. Grossmann</name><affiliation wicri:level="4"><inist:fA14 i1="02"><s1>Department of Chemical Engineering, Carnegie Mellon University</s1><s2>Pittsburgh, PA 15213</s2><s3>USA</s3><sZ>2 aut.</sZ></inist:fA14><country>États-Unis</country><placeName><settlement type="city">Pittsburgh</settlement><region type="state">Pennsylvanie</region></placeName><orgName type="university">Université Carnegie-Mellon</orgName></affiliation></author></analytic><series><title level="j" type="main">Computers & chemical engineering</title><title level="j" type="abbreviated">Comput. chem. eng.</title><idno type="ISSN">0098-1354</idno><imprint><date when="2014">2014</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Computers & chemical engineering</title><title level="j" type="abbreviated">Comput. chem. eng.</title><idno type="ISSN">0098-1354</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Approximation algorithm</term><term>Concave function</term><term>Concave programming</term><term>Cost function</term><term>Economy of scale</term><term>Function approximation</term><term>Logarithmic function</term><term>Logistics</term><term>Non linear programming</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Fonction concave</term><term>Programmation concave</term><term>Logistique</term><term>Algorithme approximation</term><term>Economie d'échelle</term><term>Fonction coût</term><term>Fonction logarithmique</term><term>Programmation non linéaire</term><term>Approximation d'une fonction</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This short note presents an alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization problems. To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes. We illustrate the application and advantages of the proposed approximation.</div></front></TEI><affiliations><list><country><li>Argentine</li><li>États-Unis</li></country><region><li>Pennsylvanie</li></region><settlement><li>Pittsburgh</li></settlement><orgName><li>Université Carnegie-Mellon</li></orgName></list><tree><country name="Argentine"><noRegion><name sortKey="Cafaro, Diego C" sort="Cafaro, Diego C" uniqKey="Cafaro D" first="Diego C." last="Cafaro">Diego C. Cafaro</name></noRegion></country><country name="États-Unis"><region name="Pennsylvanie"><name sortKey="Grossmann, Ignacio E" sort="Grossmann, Ignacio E" uniqKey="Grossmann I" first="Ignacio E." last="Grossmann">Ignacio E. Grossmann</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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