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.

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
Mots-clés : 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. 
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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://archive.numdam.org/articles/10.1051/ro/2017018/

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