Solving Flow-Constrained Networks: Inverse Problem

Abstract

Necessary and sufficient conditions for solving flow-constrained networks are developed. These conditions are predicated on the interrelation between the decision variables specified and the network-flow hydraulics. They are applicable to even-determined models of water-distribution systems. The decision variables are selected from a wide range of pipe-system parameters and are calculated explicitly to satisfy stated flow-equality constraints. A continuous-variable space is assumed for the solution. The determination of such conditions is important for comprehensive and effective modeling and optimization of water-distribution networks. These conditions can serve as guidelines to supplement existing procedures of network analysis.