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Availability of a periodically inspected system maintained through several minimal repairs before a replacement or a perfect repair. (English) Zbl 1470.90026

Summary: The instantaneous availability of a periodically inspected system with several minimal repairs before a replacement or a perfect repair is studied. First, we investigate two concrete minimal repair models with periodic inspection and constant repair time and give their instantaneous availability formulas. Then the instantaneous availability of the proposed model with constant repair times is presented by a set of recursive formulas, and its piecewise monotonicity is also shown. An example is presented to illustrate its application.

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
62N05 Reliability and life testing
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