The present investigation deals with a multi-component machining system operating under -policy. There is a provision of type of mixed standbys units and maintenance crew consisting of permanent repairman as well as removable additional repairmen. The life time and repair time of the units are exponentially distributed with interdependent rates. The permanent repairman can start the repair only when failed units are accumulated in the system. As soon as a unit fails, it is replaced by an available standby unit. In case when all the standby units are exhausted, the machining system starts to function in a degraded mode due to overload. Markov model is developed by constructing the governing transient state equations which are solved by using Runge−Kutta method. Various performance measures viz. queue size distribution, expected number of failed units, cost function, etc. are evaluated. By taking numerical illustration, numerical results are computed and also depicted with the help of graphs and figures.
Accepté le :
DOI : 10.1051/ro/2015032
Mots clés : Markovian machine repair model, N-policy, mixed standbys, additional repairmen, interdependent rates
@article{RO_2016__50_4-5_891_0,
author = {Jain, Madhu and Shekhar, Chandra and Shukla, Shalini},
title = {N-policy for a repairable redundant machining system with controlled rates},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {891--907},
publisher = {EDP-Sciences},
volume = {50},
number = {4-5},
year = {2016},
doi = {10.1051/ro/2015032},
zbl = {1353.90040},
mrnumber = {3570537},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2015032/}
}
TY - JOUR AU - Jain, Madhu AU - Shekhar, Chandra AU - Shukla, Shalini TI - N-policy for a repairable redundant machining system with controlled rates JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 891 EP - 907 VL - 50 IS - 4-5 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2015032/ DO - 10.1051/ro/2015032 LA - en ID - RO_2016__50_4-5_891_0 ER -
%0 Journal Article %A Jain, Madhu %A Shekhar, Chandra %A Shukla, Shalini %T N-policy for a repairable redundant machining system with controlled rates %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 891-907 %V 50 %N 4-5 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2015032/ %R 10.1051/ro/2015032 %G en %F RO_2016__50_4-5_891_0
Jain, Madhu; Shekhar, Chandra; Shukla, Shalini. N-policy for a repairable redundant machining system with controlled rates. RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 4-5, pp. 891-907. doi : 10.1051/ro/2015032. http://archive.numdam.org/articles/10.1051/ro/2015032/
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