System availability is an important measure of system effectiveness. This is particularly true of systems which are required to be “on station” more or less continuously, e.g., early warning systems, patrol craft and others. This paper presents a Generalized Sequential Probability Ratio Test (GSPRT) of the hypothesis where A = θ/(θ + ϕ) and θ, ϕ are means of the exponential distributions of failure and repair times respectively. The ASN and O. C. curves are discussed. In addition, termination is shown and examples are given. The availability, defined above, is a point availability and if logistics and administrative delays are excluded from restoration time, it is often called inherent availability; otherwise, it is called operational availability.
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Schafer et al. (1972) studied this question.
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