GRAPH-THEORETIC METHOD OF ANALYSIS COMPLEX ORGANIZATIONAL AND TECHNICAL SYSTEMS STABILITY

Complex organizational and technical systems (COTS) it is the special class guided open difficult, as a rule, nonlinear systems two factors unite in that: human (organizational) factor and technical (technological) factor. Decision of tasks of control, analysis, prognostication and control such systems are have considerable complication, that need creation of the corresponding systems of support of making decision (DSS). The statistical methods of analysis and prognostication, methods of mathematical and imitation design, elements of consulting models, must be incorporated in these systems. A base for the decision of certain tasks is a kernel of DSS, that allows to give to suggestion in relation to determination of critical points of COTS, to recognize behavior of environment, give to recommendation in relation to renewal of the system. In the article the improved graph-theoretic method is for the analysis of structure of COTS. The basic result of research are mathematical models of degradation COTS in the graph-theoretic raising and method of analysis stability structure of COTS. An offer in the article mathematical model of distribution of external influences on the system allows to investigate the change of stability of all system depending on a kind, type and place of influence. It is well-proven that contours in the structure of the system are the generator of internal influences, a model (unlike the well-known mathematical model of the technical system) takes into account the process of renewal of top (due to an organizational component) and scraies of influence.