Renewal analysis of a replacement process |
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Authors: | Wolfgang Stadje |
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Institution: | Fachbereich Mathematik/Informatik, Universität Osnabrück, 49069 Osnabrück, Germany |
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Abstract: | We consider a unit with a random lifetime which is replaced at renewal times by a new identical one regardless of whether it has failed before or not. For this random periodic replacement policy, we derive exact formulas for the cycle length, defined as the time between the replacements of two successive failed units, the stationary probability of the current unit to have failed, and the stationary and the transient distributions of the residual lifetime of the current unit. |
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Keywords: | Renewal process Random replacement times Cycle length Residual lifetime |
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