In the work on the basis of the analysis of vulnerability of objects of critical infrastructure, the mathematical model of registration of indirect signs of emergence of an emergency situation of technogenic character on objects of critical infrastructure is developed. The main parameters of the functional environment of mathematical model formation are analyzed and the basic equations of interrelation between variable and invariant parameters are determined. A description of the mathematical model is given.
Mathematical model of registration of indirect signs of man-made emergency at critical infrastructure facilities, represents a system of five dependencies, represents a system of five dependencies. The first dependence allows you to calculate the current value of the probabilities of emergencies on the overpass depending on the number of possible typical emergencies, system load and the current number of requests received for maintenance. The second dependence evaluates the situational background of motor vehicles as a working hypothesis that the emergency situation will not lead to long-term deviations from the normal operation of the overpass. The third dependence evaluates the situational background of motor vehicles as a working hypothesis that the consequences of the emergency situation will lead to the decommissioning of the overpass and the implementation of restoration and repair work. Fourth, and allow you to estimate the load of the queuing system on the total time of employment of the system and the number of vehicles that are at this key junction of the highway. The fifth dependency allows you to estimate the load of the queuing system on the basis of actual, statistical data, including current ones.
Key words: emergency situation, acoustic control, critical infrastructure objects