Transformation from Availability Expression to Time-Specific Failure/Success Frequency Expressions

This paper proposes a new way to evaluate the time-specific failure/success frequencies of a system; such measures are important when designing telecommunications networks as they affect the telecom customers' satisfaction level. Our approach used a 3 by 3 matrix that enables the algorithm for evaluating the availability of system to be transformed into one for evaluating the corresponding time-specific failure/success frequencies by replacing the parameters and operations of the algorithm with matrix parameters and operations. The computational complexity of the algorithm after transformation is the same as (linear with respect to) that of the original availability algorithm. This implies that our method can be easily used in actual situations.