Maintenance Theory of Reliability

By T. Nakagawa. 2005

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An overview of time-based and condition-based maintenance in industrial application (2012, background): “The extensive discussions regarding imperfect preventive maintenance models are given by Ben-Daya, Duffuaa, and Raouf (2000), Nakagawa (2005), Osaki (2002), and Pham (2003).”
Exit identities for L\'evy processes observed at Poisson arrival times (2014, background): “ve dividends (they look at the company at discrete, here random, times). Hence, the shareholders receive dividends if the event {T+ a <τ − 0 } occurs. Another example comes from reliability theory [20], where one considers a degradation process and assumes that τ− 0 is the time of failure and T− ”