Replacement models with fixed and random replacement times

Document Type

Book Chapter

Publication Title

Developments in Reliability Engineering

Abstract

In this chapter, replacement models under which replacements take place at fixed time t or random time T or upon failure have been discussed. A review of results by Kattumannil and Anisha (2019) for replacements occurring at fixed time, has been included. For random replacement time, the properties of mean time to failure (MTTF) of the proposed model have been included. Lifetimes of two replacement models with different random replacement times have been compared using few stochastic orderings. A nonparametric test based on U-statistics has been proposed for testing constancy of MTTF against new better than used in expectation alternative. The finite sample performance of the proposed test is evaluated through Monte Carlo simulation study. Finally, proposed test procedure is illustrated using lifetime data of air-conditioning equipment.

First Page

475

Last Page

499

DOI

10.1016/B978-0-443-13242-1.00023-0

Publication Date

1-1-2024

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