“…The WAN optimization is a complex task, especially when multiple contaminants are treated in the same plant with particular emphasis on selecting the use of many regeneration units. The existence of several contaminants has been identified in many works (Takama et al, 1980;Wang and Smith, 1994;Bagajewicz et al, 2000;Gunaratnam et al, 2005;Karuppiah and Grossmann, 2006;Alva-Argáez et al, 2007;Feng et al, 2008;Dong et al, 2008;Leewongtanawit and Kim, 2008;Kim et al, 2009;Tudor and Lavric, 2011;Poplewski et al, 2011;Hu et al, 2011;Boix et al, 2011;Ahmetović and Kravanja, 2013;Deng et al, 2013;Hou et al, 2014;Ibrić et al, 2014;De-León Almaraz et al, 2015;Yan et al, 2016a), some of these works involve not only WAN but also HEN optimization. However, the water treatment or recycling in the network has been considered in fewer works (Takama et al, 1980;Gunaratnam et al, 2005;Karuppiah and Grossmann, 2006;Feng et al, 2008;Dong et al, 2008;Poplewski et al, 2011;Boix et al, 2011;Tudor and Lavric, 2011;Ibrić et al, 2014;Yang et al, 2014).…”