Parameter Identification in Liquid-Liquid Equilibrium Modeling of Food-Related Thermodynamic Systems Using Flower Pollination Algorithms

A. Merzouguia, b, N. Labeda, b, A. Hasseinea, b, A. Bonilla-Petricioletc, *, D. Laiadia, b, O. Bachaa, b
a Department of Chemical Engineering, University of Biskra, Algeria
b Laboratoire de Recherche en Génie Civil, Hydraulique, Développement Durable et Environnement, University of Biskra, Algeria
c Chemical Engineering Department, Instituto Tecnológico de Aguascalientes, Mexico

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© Merzougui et al. Licensee Bentham Open.

open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 International Public License (CC BY-NC 4.0) (, which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.

* Address correspondence to this author at Chemical Engineering Department, InstitutoTecnológico de Aguascalientes, Mexico; Tel: 524499105002 Ext: 127; Email:


In this paper, the liquid–liquid equilibrium of twenty two ternary and quaternary systems relevant for food industry was modeled using the NRTL and UNIQUAC equations and the Flower Pollination Algorithm (FPA). FPA is an emerging nature-inspired stochastic global optimization method and it has been used for LLE parameter identification of local composition models in multicomponent mixtures. FPA and its modified version (MFPA) were assessed for solving LLE parameter estimation problems in several systems relevant for food industry. Thenumerical performance of these stochastic methods has been analyzed at different numerical scenarios with and without the application of closure equations. Results showed that MFPA outperformed FPA and other metaheuristics (e.g., Simulated Annealing, Genetic Algorithm and Harmony Search) for LLE parameter identification in local compositions models. MFPA with closure equations is a reliable approach for determining the best interaction parameter of NRTL and UNIQUAC models in the LLE data processing of food-related thermodynamic systems.

Keywords: Closure equation, Flower pollination algorithm, Food products, Parameter identification, Phase equilibria, Stochastic method.