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Global optimization in property‐based interplant water integration
Author(s) -
RubioCastro Eusiel,
PonceOrtega José María,
SernaGonzález Medardo,
ElHalwagi Mahmoud M.,
Pham Viet
Publication year - 2013
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.13874
Subject(s) - mathematical optimization , maxima and minima , bilinear interpolation , integer programming , global optimization , branch and bound , reuse , upper and lower bounds , integer (computer science) , optimization problem , linear programming , set (abstract data type) , computer science , mathematics , engineering , waste management , mathematical analysis , computer vision , programming language
This article presents a new global optimization method for the interplant water integration based on properties to characterize streams with numerous components. The problem is formulated as an mixed‐integer non‐linear programming (MINLP) model based on a superstructure that involves all possible options of interest (i.e., reuse and recycle in the same and to other plants and a set of shared treatment units). This formulation exhibits multiple local minima, and to overcome this problem, this article proposes effective branching rules in addition to two new reformulations for the upper bound (integer feasible solution) and the lower limit (relaxed solution), which are incorporated into a spatial branch and bound procedure to handle the bilinear terms in the model. The objective consists in finding the configuration with the minimum total annual cost. Results show that the global optimal solution (involving significant reductions in the fresh water consumption) is reached in few iterations and short central processing unit (CPU) time. © 2012 American Institute of Chemical Engineers AIChE J, 59: 813–833, 2013