This book addresses the scientific domains of operations research, information science and statistics with a focus on engineering applications. The purpose of this book is to report on the implications of the loop equations formulation of the state estimation procedure of the network systems, for the purpose of the implementation of Decision Support (DS) systems for the operational control of the network systems. In general an operational DS comprises a series of standalone applications from which the mathematical modeling and simulation of the distribution systems and the managing of the uncertainty in the decision-making process are essential in order to obtain efficient control and monitoring of the distribution systems. The mathematical modeling and simulation forms the basis for detailed optimization of the network operations and the second one uses uncertainty based reasoning in order to reduce the complexity of the network system and to increase the credibility of its model. This book reports on the integration of the two aspects of operational DS into a single computational framework of loop network equations.
The proposed DS system will be validated using case studies taken from the water industry. The optimal control of water distribution systems is an important problem because the models are non-linear and large-scale and measurements are prone to errors and very often they are incomplete.