Remaining useful life and performance reliability are instantaneous reliability indices for a system in operation. It is key characteristics of a system or component, especially for a mission-critical system, operating under a dynamic environment. Nowadays, as systemâtic complexity and reliability requirement continue increasing, there is a practical need for on-line real-time reliability monitoring and assessment, associated with decision making on predictive maintenance strategy. It is also significantly beneficial to the system management in using real-time reliability prediction to reveal the systemâ€™s future probability of success or failure at any operation time. Traditional reliability approaches are based on off-line analysis of life test data from a particular population under predefined operation circumstances . Even though these population reliability characteristics are of great interest to manufacturers and users, there is less information to an individual systemâ€™s health state in service, which is more concerned about the online reliability characteristics of the system in operation and its degradation.
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