English

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

Statistics Theory 2026-01-27 v1 Applications Methodology Statistics Theory

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.

Keywords

Cite

@article{arxiv.2601.17518,
  title  = {Comparisons of policies based on relevation and replacement by a new one unit in reliability},
  author = {Belzunce and F. and Martínez-Riquelme and C. and Mercader and J. A. and Ruiz and J. M},
  journal= {arXiv preprint arXiv:2601.17518},
  year   = {2026}
}

Comments

17 pages. Author accepted manuscript