Analysis of complex systems such as hierarchically structured network systems that are employed in modelling and analysis various aspects and issues of control and management in telecommunications is investigated. Theory of graphs and binary matrices appear to be most suitable tools for modelling the overall structure of complex systems, in general, and of systemic hierarchies, in particular. A systematic methodology has been developed for computer simulation analysis and detecting general hierarchies in communications networking as well as for synthesis of system hierarchies. This methodology is an improved extension of Warfield's technique.