Geodesic
Transient behaviour of three-heterogeneous servers queue with system disaster and server repair
Sudhesh, Ramupillai1 ; Savitha, P.1
1 Department of Mathematics, Bharathidasan Institute of Technology (BIT) Campus, Anna University, Tiruchirappalli 620024, Tamilnadu, India.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 965-983

Voir la notice de l'article provenant de la source Numdam

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.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2017018
Classification : 60K25
Keywords: Heterogeneous servers, system disaster, server repair, bessel function, Steady-state probabilities, performance measures

Sudhesh, Ramupillai 1 ; Savitha, P. 1

1 Department of Mathematics, Bharathidasan Institute of Technology (BIT) Campus, Anna University, Tiruchirappalli 620024, Tamilnadu, India. 
@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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :