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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Veröffentlicht in:AIChE journal Jg. 55; H. 11; S. 2896 - 2913
Hauptverfasser: Ropotar, Marcel, Kravanja, Zdravko
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.11.2009
Wiley
American Institute of Chemical Engineers
Schlagworte:
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
Online-Zugang:Volltext
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Zusammenfassung: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
Bibliographie: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
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ISSN:0001-1541
1547-5905
DOI:10.1002/aic.11916