This paper considers a -out-of-: system with -policy and one repairman who takes multiple vacations, in which the operating times and repair times of components are governed by exponential distributions. Once an operating component breaks down, it is repaired by a repair facility. Moreover, the repair facility is subject to failure during the repair period which results in repair interruptions. Failed repair facility resumes repair after a random period of time. Under such assumptions, applying the quasi-birth-and-death process and the matrix-analytical approach, the system state probabilities are derived. In addition, various steady-state system performance measures such as the availability and the rate of occurrence of failure along with some numerical illustrations are reported. Finally, under a profit structure, we use the direct search method and the parabolic method to search for the optimal system parameters.
Accepté le :
DOI : 10.1051/ro/2015001
Keywords: k-out-of-n:Grepairable system, replaceable repair facility, matrix-analytical approach, performance measures, profit analysis
Wu, Wenqing 1, 2 ; Tang, Yinghui 1, 2 ; Yu, Miaomiao 3 ; Jiang, Ying 4
@article{RO_2015__49_4_717_0,
author = {Wu, Wenqing and Tang, Yinghui and Yu, Miaomiao and Jiang, Ying},
title = {Computation and profit analysis of a $k$-out-of-$n$:$G$ repairable system under $N$-policy with multiple vacations and one replaceable repair facility},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {717--734},
year = {2015},
publisher = {EDP Sciences},
volume = {49},
number = {4},
doi = {10.1051/ro/2015001},
zbl = {1327.60174},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2015001/}
}
TY - JOUR AU - Wu, Wenqing AU - Tang, Yinghui AU - Yu, Miaomiao AU - Jiang, Ying TI - Computation and profit analysis of a $k$-out-of-$n$:$G$ repairable system under $N$-policy with multiple vacations and one replaceable repair facility JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2015 SP - 717 EP - 734 VL - 49 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro/2015001/ DO - 10.1051/ro/2015001 LA - en ID - RO_2015__49_4_717_0 ER -
%0 Journal Article %A Wu, Wenqing %A Tang, Yinghui %A Yu, Miaomiao %A Jiang, Ying %T Computation and profit analysis of a $k$-out-of-$n$:$G$ repairable system under $N$-policy with multiple vacations and one replaceable repair facility %J RAIRO - Operations Research - Recherche Opérationnelle %D 2015 %P 717-734 %V 49 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro/2015001/ %R 10.1051/ro/2015001 %G en %F RO_2015__49_4_717_0
Wu, Wenqing; Tang, Yinghui; Yu, Miaomiao; Jiang, Ying. Computation and profit analysis of a $k$-out-of-$n$:$G$ repairable system under $N$-policy with multiple vacations and one replaceable repair facility. RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 4, pp. 717-734. doi: 10.1051/ro/2015001
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