An approximation method to obtain the reliability of a 2-dimensional consecutive k-out-of-n: F system
is discussed. Although analysis to obtain exact reliability requires many calculation resources for a
system with a large number of components, the proposed approximation method obtains the reliability
easily by giving an assumption on the maximum number of failed components in an operable system.
This approximated reliability is exact when the total number of failed components is less than the
assumed maximum number. The accuracy of the new method is confirmed by numerical examples.
