The problem of reliability analysis and recovery process of cyber-physical systems (CPS) is under
consideration. The approach is based on the division of the life cycle into time slices with reference
to the pre-emergency, emergency, restored and predicted states. Working capability restoration of
the CPS is executed with respect to extremely critical and critical equipment. Constructed state graphs
of the cybernetic component and the physical component are introduced and the differential equations
linking the probability of return to a working state with intensities of failures and restorations of various
types are formulated. Under the known initial conditions of the probabilities for corresponding
states the solution of appropriate ordinary differential equations allows a clear graphical interpretation
in the time domain, which shows the changes in the probability of the system components transition
from one state to another by time slices of the life cycle of the CPS-system. The developed diagram of
decision-making on restoration or replacement of the corresponding component provides to make the
reasonable choice of the actions option aimed on working capability restoration. An algorithm for the
method implementation is developed and tested via execution of the numerical example related with
Automated Parking system as a typical representative of the CPS-systems variety.
Key words
cyber-physical systems, operational reliability, life cycle, state graph, decision-making flowchart.