Abstract—Frequency of failure of a system with -independent
components can be obtained from the system availability (unavailability)
expression and failure and repair rates of the components.
Although, Grouped Variable Inversion is an efficient technique to
find the system availability, there is no convenient method to convert
the “availability expression obtained by this technique” into
an “expression for system-failure frequency.” This paper present
generic rules to find system-failure frequency, particularly, when
the availability or unavailability expression of a system is obtained
using this technique. The rules are straightforward, and produce
appreciably shorter expressions for system-failure frequency. Examples
illustrate the simplicity and efficiency of the proposed rules.
Index Terms—Disjoint product, sum of disjoint products, system
availability, system-failure frequency.
Download
