Translation of variables and implementation of efficient logic-based techniques in the MINLP process synthesizer MIPSYN

This article describes alternative GDP formulation and convex hull representations for process synthesis problems and their implementation in a unique MINLP process synthesizer MIPSYN. A special translation of variables in mixed-integer, relaxed, and logic-based variations has been proposed, which e...

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Vydané v:	AIChE journal Ročník 55; číslo 11; s. 2896 - 2913
Hlavní autori:	Ropotar, Marcel, Kravanja, Zdravko
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.11.2009 Wiley American Institute of Chemical Engineers
Predmet:	Algorithms Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization Applied sciences Approximation Chemical engineering convex hull discrete-continuous translation of variables Exact sciences and technology generalized disjunctive programming Logic programming logic-based translation of variables MINLP mixed-integer translation of variables Process engineering process synthesis translation of variables Variables Approximation generalized disjunctive programming discrete-continuous translation of variables Linear programming Mixed integer programming MINLP Non linear programming convex hull Algorithm Modeling Flowsheet process synthesis translation of variables Upper bound logic-based translation of variables mixed-integer translation of variables Mathematical programming
ISSN:	0001-1541, 1547-5905
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Shrnutí:	This article describes alternative GDP formulation and convex hull representations for process synthesis problems and their implementation in a unique MINLP process synthesizer MIPSYN. A special translation of variables in mixed-integer, relaxed, and logic-based variations has been proposed, which enables modeling and solving process alternatives in a narrowed lifted space of variables, defined by nonzero lower and upper bounds. Based on these translation variations, alternative formulations have been developed for convex hulls, multiple-term generalized disjunctive programming problems, and logic-based outer-approximation algorithm, all of them being specialized for the synthesis of process flowsheets. Several studies were performed and three different large-scale synthesis problems were solved to test the performance and efficiency of different formulations. This initial research indicates that the proposed alternative convex hull representation usually outperforms the conventional one when solving both MILP and NLP steps in highly combinatorial MINLP process networks problems. © 2009 American Institute of Chemical Engineers AIChE J, 2009
Bibliografia:	http://dx.doi.org/10.1002/aic.11916 ArticleID:AIC11916 ark:/67375/WNG-KF91LGZV-C Slovenian Ministry of Higher Education, Science and Technology - No. 3211-05-000566; No. P2-0032 istex:7CEF45065E00221AE3D7C030F4A18CCEF43AC71D SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 ObjectType-Article-1 ObjectType-Feature-2
ISSN:	0001-1541 1547-5905
DOI:	10.1002/aic.11916