Renewal analysis of a replacement process

Renewal analysis of a replacement process

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Article ID: iaor200493
Country: Netherlands
Volume: 31
Issue: 1
Start Page Number: 1
End Page Number: 6
Publication Date: Jan 2003
Journal: Operations Research Letters
Authors:
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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