Logic-Based Outer-Approximation Algorithm for Solving Discrete-Continuous Dynamic Optimization Problems

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Title: Logic-Based Outer-Approximation Algorithm for Solving Discrete-Continuous Dynamic Optimization Problems
Authors: Ruiz-Femenia, Rubén | Flores-Tlacuahuac, Antonio | Grossmann, Ignacio E.
Research Group/s: Computer Optimization of Chemical Engineering Processes and Technologies (CONCEPT)
Center, Department or Service: Universidad de Alicante. Departamento de Ingeniería Química
Keywords: Logic outer-approximation algorithm | Optimization | Discrete-continuous optimal control problems
Knowledge Area: Ingeniería Química
Issue Date: 2-Jan-2014
Publisher: American Chemical Society
Citation: Industrial & Engineering Chemistry Research. 2014, 53(13): 5067-5080. doi:10.1021/ie401168g
Abstract: We present an extension of the logic outer-approximation algorithm for dealing with disjunctive discrete-continuous optimal control problems whose dynamic behavior is modeled in terms of differential-algebraic equations. Although the proposed algorithm can be applied to a wide variety of discrete-continuous optimal control problems, we are mainly interested in problems where disjunctions are also present. Disjunctions are included to take into account only certain parts of the underlying model which become relevant under some processing conditions. By doing so the numerical robustness of the optimization algorithm improves since those parts of the model that are not active are discarded leading to a reduced size problem and avoiding potential model singularities. We test the proposed algorithm using three examples of different complex dynamic behavior. In all the case studies the number of iterations and the computational effort required to obtain the optimal solutions is modest and the solutions are relatively easy to find.
Sponsor: The authors would like to acknowledge financial support from the project Estancias de movilidad en el extranjero "Jose Castillejo" para jóvenes doctores (JC2011-0054) of the Spanish “Ministerio de Educación”, and from the Spanish “Ministerio de Ciencia e Innovacion” (CTQ2012-37039-C02-02). The authors also acknowledge financial support from the Center of Process Decision-making at Carnegie Mellon University.
URI: http://hdl.handle.net/10045/46074
ISSN: 0888-5885 (Print) | 1520-5045 (Online)
DOI: 10.1021/ie401168g
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2014 American Chemical Society
Peer Review: si
Publisher version: http://dx.doi.org/10.1021/ie401168g
Appears in Collections:INV - CONCEPT - Artículos de Revistas

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