The purpose of this current research is to schedule generalized periodic replacement policies for a single unit system executing random working jobs. The system is subject to two types of failures when it has failed, including a minor failure (Type I failure), which can be thoroughly removed by the minimal repair and a catastrophic failure (Type II failure), which should be rectified by the corrective replacement. To be specific, four distinct periodic replacement models including a periodic replacement first model (Model A1), a modified periodic replacement first model (Model A2), a periodic replacement last model (Model B1), and a modified periodic replacement last model (Model B2) are investigated. The long run average cost rate (ACR) over an infinite time span under different situations is obtained theoretically and optimal periodic replacement interval for each condition is derived analytically. Numerical examples are exhibited to verify the derived results.
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DOI : 10.1051/ro/2022040
Keywords: Periodic replacement, random working times, two types of failures, average cost rate
@article{RO_2022__56_2_703_0,
author = {Li, Qi and Dong, Wenjie and Liu, Sifeng and Fang, Zhigeng},
title = {Generalized periodic replacement policies for repairable systems subject to two types of failures},
journal = {RAIRO. Operations Research},
pages = {703--720},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {2},
doi = {10.1051/ro/2022040},
mrnumber = {4407594},
zbl = {1493.90059},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022040/}
}
TY - JOUR AU - Li, Qi AU - Dong, Wenjie AU - Liu, Sifeng AU - Fang, Zhigeng TI - Generalized periodic replacement policies for repairable systems subject to two types of failures JO - RAIRO. Operations Research PY - 2022 SP - 703 EP - 720 VL - 56 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022040/ DO - 10.1051/ro/2022040 LA - en ID - RO_2022__56_2_703_0 ER -
%0 Journal Article %A Li, Qi %A Dong, Wenjie %A Liu, Sifeng %A Fang, Zhigeng %T Generalized periodic replacement policies for repairable systems subject to two types of failures %J RAIRO. Operations Research %D 2022 %P 703-720 %V 56 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022040/ %R 10.1051/ro/2022040 %G en %F RO_2022__56_2_703_0
Li, Qi; Dong, Wenjie; Liu, Sifeng; Fang, Zhigeng. Generalized periodic replacement policies for repairable systems subject to two types of failures. RAIRO. Operations Research, Tome 56 (2022) no. 2, pp. 703-720. doi: 10.1051/ro/2022040
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