Modeling of monitoring of information security process on the basis of queuing systems

The paper is devoted to the mathematical modeling of monitoring process by the information security systems, aimed at detection of hidden malicious attacks. The modeling is based on the queueing theory formalism. The monitoring process is reduced to the analysis of the customer flow arriving at the queueing system, in which each customer is regarded as carrying potential malicious attacks. Functional relations between the system state probability distribution and the distribution of the number of undetected malicious attacks on service completion epochs are obtained. These characteristics may allow one to improve the efficiency of malicious attacks detection process in the data processing systems.