“…This loss of generality allows the resources allocation problem to be visually and precisely displayed by the network structure, and gains in return higher computational efficiency and easier comprehension of the priority-based allocation mechanism. These characteristics have prompted model developers to incorporate NFP into many general models (Evenson and Moseley, 1970;Sigvaldason, 1976;Labadie et al, 1986;Martin, 1987;Kuczera and Diment, 1988;Brendecke, 1989;Chung et al, 1989;Andrews et al, 1992;Wurbs, 1993;Andreu et al, 1996;Yerrameddy and Wurbs, 1996;Fredericks et al, 1998;Ilich et al, 2000;Dai and Labadie, 2001;Chou and Wu, 2010). The NFP represents the physical aspect of a water resources system as a directed network G(N, L), where N is the set of n nodes and L is the set of m links.…”