Operational Reliability Analysis of the Cyber-Physical Systems Via Online Indicator Diagrams

Operational reliability analysis and recovery process of cyber-physical systems (CPS) is under consideration. The state graphs of the cybernetic component and the physical component are introduced basing on the life-cycle of CPS separation into time slices with reference to the pre-emergency, emergency, restored and predicted states. Designed differential equations link the probability of recovery with intensities of failures and types of restorations. It allows a clear graphical interpretation in the time domain and shows the changes in the probability of the system components transition from one state to another through the time slices of the CPS life-cycle. The developed diagram of decision-making on restoration or replacement of the corresponding component allows to make the reasonable choice of the actions option aimed on working capability restoration. An algorithm for the method is developed and tested via execution of the CPS-system example.