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A comparative theoretical and computational study on robust counterpart optimization / Zukui Li in Industrial & engineering chemistry research, Vol. 51 N° 19 (Mai 2012) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 51 N° 19 (Mai 2012) . - pp. 6760-6768 Titre : A comparative theoretical and computational study on robust counterpart optimization : II. Probabilistic guarantees on constraint satisfaction Type de document : texte imprimé Auteurs : Zukui Li, Auteur ; Qiuhua Tang, Auteur ; Christodoulos A. Floudas, Auteur Année de publication : 2012 Article en page(s) : pp. 6760-6768 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Optimization Résumé : Probabilislic guarantees on constraint satisfaction for robust counterpart optimization are studied in this paper. The robust counterpart optimization formulations studied are derived from box, ellipsoidal, polyhedrai, "interval+ellipsoidal", and "interval+polyhedral" uncertainty sets (Li, Z.; Ding, R.; Floudas, CA A Comparative Theoretical and Computational Study on Robust Counterpart Optimization: L Robust Linear and Robust Mixed Integer Linear Optimization. Ind. Eng. Chem. Res. 2011, 50, 10567). For those robust counterpart optimization formulations, their corresponding probability bounds on constraint satisfaction are derived for different types of uncertainty characteristic (i.e., bounded or unbounded uncertainty, with or without detailed probability distribution information). The findings of this work extend the results in the literature and provide greater flexibility for robust optimization practitioners in choosing tighter probability bounds so as to find less conservative robust solutions. Extensive numerical studies are performed to compare the tightness of the different probability bounds and the conservatism of different robust counterpart optimization formulations. Guiding rules for the selection of robust counterpart optimization models and for the determination of the size of the uncertainty set are discussed. Applications in production planning and process scheduling problems are presented. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=25900232 [article] A comparative theoretical and computational study on robust counterpart optimization : II. Probabilistic guarantees on constraint satisfaction [texte imprimé] / Zukui Li, Auteur ; Qiuhua Tang, Auteur ; Christodoulos A. Floudas, Auteur . - 2012 . - pp. 6760-6768. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 19 (Mai 2012) . - pp. 6760-6768 Mots-clés : Optimization Résumé : Probabilislic guarantees on constraint satisfaction for robust counterpart optimization are studied in this paper. The robust counterpart optimization formulations studied are derived from box, ellipsoidal, polyhedrai, "interval+ellipsoidal", and "interval+polyhedral" uncertainty sets (Li, Z.; Ding, R.; Floudas, CA A Comparative Theoretical and Computational Study on Robust Counterpart Optimization: L Robust Linear and Robust Mixed Integer Linear Optimization. Ind. Eng. Chem. Res. 2011, 50, 10567). For those robust counterpart optimization formulations, their corresponding probability bounds on constraint satisfaction are derived for different types of uncertainty characteristic (i.e., bounded or unbounded uncertainty, with or without detailed probability distribution information). The findings of this work extend the results in the literature and provide greater flexibility for robust optimization practitioners in choosing tighter probability bounds so as to find less conservative robust solutions. Extensive numerical studies are performed to compare the tightness of the different probability bounds and the conservatism of different robust counterpart optimization formulations. Guiding rules for the selection of robust counterpart optimization models and for the determination of the size of the uncertainty set are discussed. Applications in production planning and process scheduling problems are presented. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=25900232

Production scheduling of a large - scale steelmaking continuous casting process via unit - specific event - based continuous - time models / Jie Li in Industrial & engineering chemistry research, Vol. 51 N° 21 (Mai 2012) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 51 N° 21 (Mai 2012) . - pp. 7300-7319 Titre : Production scheduling of a large - scale steelmaking continuous casting process via unit - specific event - based continuous - time models : Short - term and medium - term shceduling Type de document : texte imprimé Auteurs : Jie Li, Auteur ; Xin Xiao, Auteur ; Qiuhua Tang, Auteur Année de publication : 2012 Article en page(s) : pp. 7300-7319 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Medium  term  Short  term  Modeling  Continuous  time  Casting  Scheduling  Production Résumé : The scheduling of steelmaking continuous-casting (SCC) processes is of major importance in iron and steel operations, since it is often a bottleneck in iron and steel production. Optimal scheduling of SCC processes can increase profit, minimize production cost, reduce material and energy consumption, and improve customer satisfaction. Scheduling of SCC processes is challenging, because of its combinatorial nature, complex practical constraints, and strict requirements on material continuity and flow time, as well as the technological requirements to ensure practical feasibility of the resulting scheduling. In this paper, we first develop a novel unit-specific event-based continuous-time mixed-integer linear optimization (MILP) model for this problem and incorporate several realistic operational features. Then, we extend the rolling horizon approach proposed by Lin et aL [Lin et al. Ind. Eng. Chem. Res. 2002, 41, 3884―3906] and Janak et al. [Janak et al. Ind. Eng. Chem. Res. 2006, 45, 8234―8252] to solve this large-scale and complex optimization problem. Four large-scale industrial problems are used to illustrate the efficiency and effectiveness of the proposed formulation and rolling horizon approach. The computational results show that the extended rolling horizon approach successfully solves the large-scale case studies and results in the same or better integer solution than that obtained from directly solving the entire scheduling model. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=25948471 [article] Production scheduling of a large - scale steelmaking continuous casting process via unit - specific event - based continuous - time models : Short - term and medium - term shceduling [texte imprimé] / Jie Li, Auteur ; Xin Xiao, Auteur ; Qiuhua Tang, Auteur . - 2012 . - pp. 7300-7319. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 21 (Mai 2012) . - pp. 7300-7319 Mots-clés : Medium  term  Short  term  Modeling  Continuous  time  Casting  Scheduling  Production Résumé : The scheduling of steelmaking continuous-casting (SCC) processes is of major importance in iron and steel operations, since it is often a bottleneck in iron and steel production. Optimal scheduling of SCC processes can increase profit, minimize production cost, reduce material and energy consumption, and improve customer satisfaction. Scheduling of SCC processes is challenging, because of its combinatorial nature, complex practical constraints, and strict requirements on material continuity and flow time, as well as the technological requirements to ensure practical feasibility of the resulting scheduling. In this paper, we first develop a novel unit-specific event-based continuous-time mixed-integer linear optimization (MILP) model for this problem and incorporate several realistic operational features. Then, we extend the rolling horizon approach proposed by Lin et aL [Lin et al. Ind. Eng. Chem. Res. 2002, 41, 3884―3906] and Janak et al. [Janak et al. Ind. Eng. Chem. Res. 2006, 45, 8234―8252] to solve this large-scale and complex optimization problem. Four large-scale industrial problems are used to illustrate the efficiency and effectiveness of the proposed formulation and rolling horizon approach. The computational results show that the extended rolling horizon approach successfully solves the large-scale case studies and results in the same or better integer solution than that obtained from directly solving the entire scheduling model. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=25948471