Three-heterogeneous servers queue with system disaster, server failure and repair is investigated. The arrival of customers follows Poisson process and service time is exponentially distributed. Explicit expressions are derived for the transient-state probabilities using generating function, modified Bessel function and Laplace transform. Further, the steady-state system size probabilities are deduced and certain important performance measures are acquired. Finally, numerical interpretations are presented to depict the system behaviour.
Accepté le :
DOI : 10.1051/ro/2017018
Mots-clés : Heterogeneous servers, system disaster, server repair, bessel function, Steady-state probabilities, performance measures
@article{RO_2017__51_4_965_0,
author = {Sudhesh, Ramupillai and Savitha, P.},
title = {Transient behaviour of three-heterogeneous servers queue with system disaster and server repair},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {965--983},
publisher = {EDP-Sciences},
volume = {51},
number = {4},
year = {2017},
doi = {10.1051/ro/2017018},
mrnumber = {3783930},
zbl = {1393.60111},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017018/}
}
TY - JOUR AU - Sudhesh, Ramupillai AU - Savitha, P. TI - Transient behaviour of three-heterogeneous servers queue with system disaster and server repair JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 965 EP - 983 VL - 51 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017018/ DO - 10.1051/ro/2017018 LA - en ID - RO_2017__51_4_965_0 ER -
%0 Journal Article %A Sudhesh, Ramupillai %A Savitha, P. %T Transient behaviour of three-heterogeneous servers queue with system disaster and server repair %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 965-983 %V 51 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017018/ %R 10.1051/ro/2017018 %G en %F RO_2017__51_4_965_0
Sudhesh, Ramupillai; Savitha, P. Transient behaviour of three-heterogeneous servers queue with system disaster and server repair. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 965-983. doi : 10.1051/ro/2017018. http://www.numdam.org/articles/10.1051/ro/2017018/
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