Observations on the relative numerical efficiencies of graph-theoretic system models

This paper discusses the numerical efficiencies of the combination of formulation and solution of a variety of system modeling methods derived from the graph-theoretic analysis approach for engineering systems. A general formulation method is used for the discussion of the traditional models (branch, chord, nodal and mixed nodal tableaux), and attention is then turned to general hybrid modeling methods and to their possible reductions. The overall approach to assessment of numerical efficiency of the direct formation models stems from representation of a system in terms of the complete tableau model.