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 |
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| 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). |
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| 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. |
| Author_xml | – sequence: 1 givenname: Rubén surname: Ruiz-Femenia fullname: Ruiz-Femenia, Rubén email: Ruben.Ruiz@ua.es organization: Department of Chemical Engineering, University of Alicante, Ap. 99, Alicante. Spain – sequence: 2 givenname: Jose A. surname: Caballero fullname: Caballero, Jose A. organization: Department of Chemical Engineering, University of Alicante, Ap. 99, Alicante. Spain – sequence: 3 givenname: Ignacio E. 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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| Copyright | 2014 Elsevier B.V. |
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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 |
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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 |
| References_xml | – volume: 20 start-page: 959 year: 1996 end-page: 978 ident: bb0025 article-title: Logic-based MINLP algorithms for the optimal synthesis of process networks publication-title: Computers and Chemical Engineering – volume: 32 start-page: 2346 year: 2008 end-page: 2364 ident: bb0030 article-title: Disjunctive modeling for optimal control of hybrid systems publication-title: Computers and Chemical Engineering – volume: 37 start-page: 966 year: 1998 end-page: 981 ident: bb0040 article-title: Dynamic optimization in a discontinuous world publication-title: Industrial and Engineering Chemistry Research – volume: 30 start-page: 822 year: 2012 end-page: 826 ident: bb0010 article-title: A stop-and-restart approach to hybrid dynamic optimization problems publication-title: Computer Aided Chemical Engineering – volume: 18 start-page: 563 year: 1994 end-page: 578 ident: bb0020 article-title: Modelling and computational techniques for logic based integer programming publication-title: Computers and Chemical Engineering – volume: 30 start-page: 1560 year: 2006 end-page: 1575 ident: bb0035 article-title: Simultaneous dynamic optimization strategies: Recent advances and challenges publication-title: Computers and Chemical Engineering – volume: 32 start-page: 991 year: 2013 end-page: 996 ident: bb0015 article-title: Automated HAZOP using hybrid discrete/continuous process models publication-title: Computer Aided Chemical Engineering |
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| 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 |
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