Description: The task of choice of objects of fire defeat is considered by a polyhedral analysis. It is suggested to utillize a polyhedral analysis for the decision of task of analysis of structure of the difficult systems. The selection of critical elements of the difficult system allows them above all things to include to the plan of fire defeat, the same lifting the proof functioning of the system. Offered approach have algorithmic realization and allow their use in the perspective intellectual systems of support of decision-making.
Keywords: fire defeat, excentricity, tie-up, complex, plural, object of defeat, planning, polyhedral analysis, symplex, analysis of the systems, difficult system, topology