Optimal design of exchange water networks with control inputs in Eco-Industrial Parks

TL;DR

This paper presents a mathematical programming approach for designing and optimizing water exchange networks in Eco-Industrial Parks, incorporating control inputs and game theory to minimize resource use and costs.

Contribution

It introduces a novel control-input model formulated as a Single-Leader Multi-Follower game, transforming it into a mixed-integer optimization problem for better water network design.

Findings

Optimized water exchange networks reduce freshwater consumption.

The model outperforms blind-input approaches in resource efficiency.

Control inputs improve enterprise cost savings.

Abstract

Industrial water conservation is an important adaptation to preserve the environment. Eco-Industrial Parks (EIPs) have been designed to encourage the establishment of water exchange networks between enterprises in order to minimize freshwater consumption and wastewater discharge by maximizing wastewater reuse. This control-input model presents a mathematical programming formulation for designing and optimizing industrial water networks in EIPs, formulating and solving it as a Single- Leader Multi-Follower (SLMF) game problem. Enterprises (followers) aim to minimize their operating costs by reusing wastewater from other enterprises, while the designer (leader) aims to minimize the consumption of natural resources within the ecopark. Moreover, when participating in the ecopark, enterprises can control all their input fluxes and the designer guarantees a minimal relative improvement in comparison with the stand-alone operation of each enterprise. The SLMF game is transformed into a single mixed-integer optimization problem. The obtained results are compared with the results of the blind-input model [D. Salas, Cao Van Kien, D. Aussel, L. Montastruc, Optimal design of exchange networks with blind inputs and its application to Eco-Industrial parks, Computers \& Chemical Engineering 143 (2020)].