Mathematical model for estimating the efficiency of information security systems by means of Laplace transformation and Givens method

Abstract

The article presents a dynamic model of the information security system (ISS) functionality from unauthorized access in automated information systems (AIS) created on the basis of Petri net machines. The authors developed a mathematical model for dynamic operating performance ratio assessment in ISS against the unauthorized access in AIS based on the Laplace transform method and a numerical technique of solving simultaneous linear algebraic equations (SLAE) by Givens method. They authors also suggest a calculation technique for dynamic operating performance ratio algorithm in ISS against the unauthorized access in AIS by applying the selected method for solving equations (SLAE) for further development of evaluation programs complex as far as for modeling and assessment of dynamic performance ratio in ISS against the unauthorized access in AIS. Selection and development of the operating performance ratio was based on the analysis of GOST (RF Standard-Setting Authority) 28195-89.