Document Type : Research Paper


1 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

2 Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA


Age replacement policy is concerned with finding an optional time to
minimize the cost, at which time the unit is replaced even if it
does not fail. So far, age replacement policy involving random age
has been proposed. This paper will assume the age of the unit is an
uncertain variable, and find the optimal time to replace the unit.


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