Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities

We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit discontinuities, which increases the problem complexity since the number of continuous phases and discrete events is not known a-priori. After setting a f...

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Veröffentlicht in:Computer Aided Chemical Engineering Jg. 33; S. 337 - 342
Hauptverfasser: Ruiz-Femenia, Rubén, Caballero, Jose A., Grossmann, Ignacio E.
Format: Buchkapitel
Sprache:Englisch
Veröffentlicht: 2014
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ISBN:9780444634344, 0444634347
ISSN:1570-7946
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Abstract We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit discontinuities, which increases the problem complexity since the number of continuous phases and discrete events is not known a-priori. After setting a fixed alternative sequence of modes, we convert the infinite-dimensional continuous mixed-logic dynamic (MLDO) problem into a finite dimensional discretized GDP problem by orthogonal collocation on finite elements. We use the Logic-based Outer Approximation algorithm to fully exploit the structure of the GDP representation of the problem. This modelling framework is illustrated with an optimization problem with implicit discontinuities (diver problem).
AbstractList We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit discontinuities, which increases the problem complexity since the number of continuous phases and discrete events is not known a-priori. After setting a fixed alternative sequence of modes, we convert the infinite-dimensional continuous mixed-logic dynamic (MLDO) problem into a finite dimensional discretized GDP problem by orthogonal collocation on finite elements. We use the Logic-based Outer Approximation algorithm to fully exploit the structure of the GDP representation of the problem. This modelling framework is illustrated with an optimization problem with implicit discontinuities (diver problem).
Author Caballero, Jose A.
Ruiz-Femenia, Rubén
Grossmann, Ignacio E.
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  surname: Grossmann
  fullname: Grossmann, Ignacio E.
  organization: Department of Chemical Engineering, Carnegie Mellon University. 5000 Forbes Avenue. 15213, Pittsburgh, PA. USA
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DOI 10.1016/B978-0-444-63456-6.50057-0
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Keywords Mixed-Logic Dynamic Optimization
GDP
Orthogonal collocation method
Logic-Based Outer Approximation
Discrete-Continuous Dynamic Systems
Language English
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References Lotero-Herranz, Galán (bb0015) 2013; 32
Türkay, Grossmann (bb0025) 1996; 20
Oldenburg, Marquardt (bb0030) 2008; 32
Barton, Allgor, Feehery, Galán (bb0040) 1998; 37
Mynttinen, Li (bb0010) 2012; 30
Raman, Grossmann (bb0020) 1994; 18
Kameswaran, Biegler (bb0035) 2006; 30
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– volume: 30
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  year: 2012
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  article-title: A stop-and-restart approach to hybrid dynamic optimization problems
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– volume: 18
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  article-title: Modelling and computational techniques for logic based integer programming
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  article-title: Automated HAZOP using hybrid discrete/continuous process models
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Snippet We address the optimization of discrete-continuous dynamic optimization problems using a disjunctive multistage modeling framework, with implicit...
SourceID elsevier
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StartPage 337
SubjectTerms Discrete-Continuous Dynamic Systems
GDP
Logic-Based Outer Approximation
Mixed-Logic Dynamic Optimization
Orthogonal collocation method
Title Logic-Based Outer Approximation for the Design of Discrete-Continuous Dynamic Systems with Implicit Discontinuities
URI https://dx.doi.org/10.1016/B978-0-444-63456-6.50057-0
Volume 33
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