METHOD FOR STUDYING QUANTITATIVE INDICATORS OF CORPORATE NETWORK SECURITY SYSTEM
DOI:
https://doi.org/10.28925/2663-4023.2025.28.776Keywords:
security indicator; corporate network; flow; information; data; leakage; coefficient; system; equationAbstract
A mathematical model of corporate network security has been developed and analyzed. The dependence of the security level on the information flow in the corporate network has been examined, along with the influence of parameters affecting the security system and its overall functionality. The relationship between network security, system size, and security threats has been established. A system of linear equations has been derived, reflecting the change in the security level as a function of the information flow rate and the impact of various security measures: data integrity and authenticity control, access restrictions, antivirus protection, firewall functionality, data backup, auditing, physical security measures, protection against unintended electromagnetic emissions, as well as the effects of possible hardware and software failures. The impact of the volume of personal data on its leakage, leakage rate, and the effectiveness of security mechanisms has been analyzed.
As a result of solving the system of linear differential equations, mathematical and graphical dependencies of the corporate network security level on various factors have been obtained. By considering three possible solutions to the equation near the system's stationary state, it has been concluded that, depending on the ratio of dissipation and the natural frequency of oscillations, attenuation to a certain value occurs either periodically with a damped amplitude or following an exponentially decaying law. A more illustrative analysis of system behavior has been performed by transitioning from the differential form of the equations to a discrete form and simulating the system's evolution over a selected time interval.
Mathematical and graphical dependencies of the system’s natural oscillation frequency, damping coefficient, and oscillation period are presented. Simulation modeling with deviations from the stationary state has confirmed the nonlinear nature of the corporate network security system.
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