Model of Cyber-Physical System Operation Under the Impact of Negative External Factors
DOI:
https://doi.org/10.31649/1997-9266-2023-171-6-30-38Keywords:
cyber-physical system, negative factor, operation process, mathematical model, fail-safe, functional safety, efficiencyAbstract
The article presents a mathematical tool for modeling the process of cyber-physical system operation under the impact of negative external factors, which is taken into account by the corresponding parameter. Unlike analogues, the model of the researched process is formalized in the parametric space of failure-free, functional safety and a number of economic indicators. The generalizing parameter in the presented mathematical tool is the efficiency coefficient, which takes into consideration the cumulative parameter of the cyber-physical system operation efficiency, the accompanying risk from its operation and the amount of resources invested in cyber security measures at the stage of designing the target system. The relationship of this coefficient with the probability of the transition of the cyber-physical system into a non-functional state as a result of the realization of a negative impact despite the opposition of cyber security means is analytically described. The mathematical tool was developed in the direction of taking into account errors of the first and second kind when identifying a negative impact by means of cyber security. The case of the reaction of cyber security tools to the imitation of a negative impact was separately investigated. The search for the extreme value of the efficiency coefficient based on the amount of resources invested in cyber security measures and taking into account the characteristic parameters of the space in which the target cyber-physical system is operated is formalized. The study of the real cyber-physical system of the Situation Center of the Department of Cyber-Physical Technologies of the Vinnytsia City Council showed the adequacy of the proposed mathematical tool.
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