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Engineering    2017, Vol. 3 Issue (2) : 202 -213
Research |
Nonlinear Model-Based Process Operation under Uncertainty Using Exact Parametric Programming
Vassilis M. Charitopoulos,Lazaros G. Papageorgiou,Vivek Dua()
Center for Process Systems Engineering, Department of Chemical Engineering, University College London, London WC1E 7JE, UK

In the present work, two new, (multi-)parametric programming (mp-P)-inspired algorithms for the solution of mixed-integer nonlinear programming (MINLP) problems are developed, with their main focus being on process synthesis problems. The algorithms are developed for the special case in which the nonlinearities arise because of logarithmic terms, with the first one being developed for the deterministic case, and the second for the parametric case (p-MINLP). The key idea is to formulate and solve the square system of the first-order Karush-Kuhn-Tucker (KKT) conditions in an analytical way, by treating the binary variables and/or uncertain parameters as symbolic parameters. To this effect, symbolic manipulation and solution techniques are employed. In order to demonstrate the applicability and validity of the proposed algorithms, two process synthesis case studies are examined. The corresponding solutions are then validated using state-of-the-art numerical MINLP solvers. For p-MINLP, the solution is given by an optimal solution as an explicit function of the uncertain parameters.

Keywords Parametric programming      Uncertainty      Process synthesis      Mixed-integer nonlinear programming      Symbolic manipulation     
Corresponding Authors: Vivek Dua   
Just Accepted Date: 24 March 2017   Online First Date: 26 April 2017    Issue Date: 27 April 2017
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Vassilis M. Charitopoulos
Lazaros G. Papageorgiou
Vivek Dua
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Vassilis M. Charitopoulos,Lazaros G. Papageorgiou,Vivek Dua. Nonlinear Model-Based Process Operation under Uncertainty Using Exact Parametric Programming[J]. Engineering, 2017, 3(2): 202 -213 .
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