In this work, a recently developed automated composite table algorithm (ACTA) (Parand et al. Clean Technol. Environ. Policy 2016, 18 (7): 2095−2105) is improved to explore the interactions among important key parameters for a water regeneration–recycle network of single contaminant problem. The improved ACTA is based on pinch analysis, but is automated for the various targeting tasks. In most of the literature for water regeneration–recycle network synthesis, the post-regeneration concentration (Co) is treated as a fixed parameter. However, the other key parameters (i.e., freshwater, wastewater, regenerated water flow rates, along with wastewater and pre-regeneration concentrations) vary with the change of Co. With the use of improved ACTA, the interactions among these key parameters are analyzed for both types of regeneration units, that is, fixed Co and fixed removal ratio. The exploration of these interactions also enables the water network to be optimized for economic purposes at the targeting stage. ...