The study is concerned with the investigation and development of computer methodologies and software which lead to the eventual 'closed loop control' or computer assisted-supervisory control of water distribution systems. The two approaches to mathematical modeling currently being investigated are the traditional network model and a regression model; both are discussed and compared in detail in the context of water distribution system control. The water distribution regression model is a set of quasi-empirical mathematical expressions relating important variables, particularly those associated with control, such as pumping station head or tank level. One of Philadelphia's water distribution districts was used as a test bed for the research.