A comparative theoretical and computational study on robust counterpart optimization / Zukui Li in Industrial & engineering chemistry research, Vol. 50 N° 18 (Septembre 2011)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 50 N° 18 (Septembre 2011) . - pp. 10567-10603 Titre : A comparative theoretical and computational study on robust counterpart optimization : I. robust linear optimization and robust mixed integer linear optimization Type de document : texte imprimé Auteurs : Zukui Li, Auteur ; Ran Ding, Auteur ; Christodoulos A. Floudas, Auteur Année de publication : 2011 Article en page(s) : pp. 10567-10603 Note générale : Chimie industrielle Langues : Anglais (eng) Mots-clés : Optimization Résumé : Robust counterpart optimization techniques for linear optimization and mixed integer linear optimization problems are studied in this paper. Different uncertainty sets, including those studied in literature (Le., interval set; combined interval and ellipsoidal set; combined interval and polyhedral set) and new ones (i.e., adjustable box; pure ellipsoidal; pure polyhedral; combined interval, ellipsoidal, and polyhedral set) are studied in this work and their geometric relationship is discussed For uncertainty in the left-hand side, right-hand side, and objective function of the optimization problems, robust counterpart optimization formulations induced by those different uncertainly sets are derived. Numerical studies are performed to compare the solutions of the robust counterpart optimization models and applications in refinery production planning and batch process scheduling problem are presented. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=24523879 [article] A comparative theoretical and computational study on robust counterpart optimization : I. robust linear optimization and robust mixed integer linear optimization [texte imprimé] / Zukui Li, Auteur ; Ran Ding, Auteur ; Christodoulos A. Floudas, Auteur . - 2011 . - pp. 10567-10603. Chimie industrielle Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 50 N° 18 (Septembre 2011) . - pp. 10567-10603 Mots-clés : Optimization Résumé : Robust counterpart optimization techniques for linear optimization and mixed integer linear optimization problems are studied in this paper. Different uncertainty sets, including those studied in literature (Le., interval set; combined interval and ellipsoidal set; combined interval and polyhedral set) and new ones (i.e., adjustable box; pure ellipsoidal; pure polyhedral; combined interval, ellipsoidal, and polyhedral set) are studied in this work and their geometric relationship is discussed For uncertainty in the left-hand side, right-hand side, and objective function of the optimization problems, robust counterpart optimization formulations induced by those different uncertainly sets are derived. Numerical studies are performed to compare the solutions of the robust counterpart optimization models and applications in refinery production planning and batch process scheduling problem are presented. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=24523879

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