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The MINLP optimization approach to structural synthesis. Part II: Simultaneous topology, parameter and standard dimension optimization by the use of the linked two‐phase MINLP strategy

1998; Wiley; Volume: 43; Issue: 2 Linguagem: Inglês

10.1002/(sici)1097-0207(19980930)43

1097-0207

S. Kravanja, Z. Kravanja, B. S. Bedenik,

Zeolite Catalysis and Synthesis

International Journal for Numerical Methods in EngineeringVolume 43, Issue 2 p. 293-328 Research Article The MINLP optimization approach to structural synthesis. Part II: Simultaneous topology, parameter and standard dimension optimization by the use of the linked two-phase MINLP strategy S. Kravanja, Corresponding Author S. Kravanja Stojan. [email protected] University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, SloveniaFaculty of Civil Engineering, University of Maribor, Smetanova 17, SI-2000 Maribor, SloveniaSearch for more papers by this authorZ. Kravanja, Z. Kravanja University of Maribor, Faculty of Chemistry and Chemical Engineering, Smetanova 17, SI-2000 Maribor, SloveniaSearch for more papers by this authorB. S. Bedenik, B. S. Bedenik University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, SloveniaSearch for more papers by this author S. Kravanja, Corresponding Author S. Kravanja Stojan. [email protected] University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, SloveniaFaculty of Civil Engineering, University of Maribor, Smetanova 17, SI-2000 Maribor, SloveniaSearch for more papers by this authorZ. Kravanja, Z. Kravanja University of Maribor, Faculty of Chemistry and Chemical Engineering, Smetanova 17, SI-2000 Maribor, SloveniaSearch for more papers by this authorB. S. Bedenik, B. S. Bedenik University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, SloveniaSearch for more papers by this author First published: 18 December 1998 https://doi.org/10.1002/(SICI)1097-0207(19980930)43:2 3.0.CO;2-OCitations: 10AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Part II describes the Mixed-Integer Non-linear Programming (MINLP) approach to structural synthesis where standard dimensions are added to simultaneous topology and parameter optimization. For this purpose, the mechanical superstructure has been enhanced and a special MINLP-MS model formulation for mechanical superstructures from Part I adapted to standard dimension alternatives, which give rise to complex MINLP problems that are difficult to solve. A Linked Two-Phase MINLP Strategy has been developed to efficiently accelerate the solutions of highly combinatorial MINLP problems, performed by the Modified OA/ER algorithm. In the first phase, the strategy uses only continuous dimensions making it easier to find an optimal topology. Based on the obtained global linear approximation of the superstructure, the proposed strategy in the second phase continues to perform an overall simultaneous optimization, where standard dimensions are added as additional discrete optimization alternatives. Thus, simultaneous topology, parameter and standard dimension optimization is now performed in the second phase. 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