Comparisons of policies based on relevation and replacement by a new one unit in reliability

TL;DR

This paper compares the effectiveness of relevation and replacement policies in reliability systems, analyzing how different aging properties influence their stochastic processes and performance.

Contribution

It introduces a comparative analysis of relevation and replacement policies based on stochastic processes and aging properties, providing insights into their relative advantages.

Findings

Revelation policy can extend system lifespan under certain aging conditions.

Replacement by new units generally improves reliability but may be less cost-effective.

The effectiveness of policies depends on the aging characteristics of units.

Abstract

The purpose of this paper is to study the role of the relevation transform, where a failed unit is replaced by a used unit with the same age as the failed one, as an alternative to the policy based on the replacement by a new one. In particular, we compare the stochastic processes arising from a policy based on the replacement of a failed unit by a new one and from the one in which the unit is being continuously subjected to a relevation policy. The comparisons depend on the aging properties of the units under repair.