Optimal replacement policies for a system based on a one-cycle criterion

Shey-Huei Sheu, Hsin-Nan Tsai, Uan-Yu Sheu and Zhe George Zhang

Reliability Engineering and System Safety, 2019, vol. 191, issue C

Abstract: In this paper, we try to propose four replacement policies including general age replacement policy (GARP), replacement first policy (RFP), replacement last policy (RLP), and replacement next policy (RNP) for a system based on a one-cycle criterion. The system is subject to two kinds of failures whose probabilities are age-dependent. We use minimal repair to fix the Type I failure (minor failure) and we do replacement to remove the Type II failure (catastrophic failure). We formulate all mathematical models for four replacement policies and we also discuss the optimal schedules that minimize the expected cost rate in one replacement cycle analytically. We present an optimal computational algorithm to determine the four replacement policies. Finally, we give some numerical examples to fit our research and also compare the expected cost rate function between one-cycle criterion and the infinite horizon (renewal reward) assumptions under four replacement policies.

Keywords: Replacement; Minimal repair; Random working time; Optimization; One-cycle criterion (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:191:y:2019:i:c:s0951832018305490

DOI: 10.1016/j.ress.2019.106527

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