  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)].
