Title: Flows optimisation of industrial symbiosis based on bi-objective mathematical modelling

Authors: Hajar Nouinou; Daniel Roy; Sophie Hennequin

Addresses: Charles Delaunay Institute, FRE CNRS 2019, University of Technology of Troyes, 12 Rue Marie Curie, 10004 Troyes, Cedex, France ' Université de Lorraine-LGIPM, 1 route d'Ars Laquenexy, F-57078 Metz Cedex 03, France ' Université de Lorraine-LGIPM, 1 route d'Ars Laquenexy, F-57078 Metz Cedex 03, France

Abstract: It seems clear that industrial systems can no longer continue to operate by taking unrestricted amounts of natural resources, especially when these are non-renewable. In order to limit this over-consumption, the industrial symbiosis principle is an interesting solution. The objective here is to determine, using a mathematical bi-objective model, the optimal flow allocations within a symbiosis. Our model applies at the tactical and operational levels, i.e., when the symbiosis is already defined. The aim is to study the best possible flow distribution in order to maximise both the symbiosis overall economic and symbiotic profits (defined as the difference between internal and external flows). With this in mind, we will conduct a numerical application based on a real example with generic values before presenting an optimisation algorithm based on the ε-constraint method. Finally, simulations will be performed to study the evolution of results.

Keywords: industrial symbiosis; mathematical modelling; optimisation; materials flows; waste management.

DOI: 10.1504/IJISM.2021.113568

International Journal of Integrated Supply Management, 2021 Vol.14 No.1, pp.77 - 100

Received: 31 Dec 2019
Accepted: 26 Jun 2020

Published online: 11 Mar 2021 *

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