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The multi-server retrial system with Bernoulli feedback and starting failures.
- Source :
-
International Journal of Computer Mathematics . May2015, Vol. 92 Issue 5, p954-969. 16p. - Publication Year :
- 2015
-
Abstract
- In this paper, we present a detailed analysis of a multi-server retrial queue with Bernoulli feedback, where the servers are subject to starting failures. Upon completion of a service, a customer would decide either to leave the system with probabilitypor to join the retrial orbit again for another service with complementary probability 1−p. We analyse this queueing system as a quasi-birth–death process. Specifically, the equilibrium condition of the system is given for the existence of the steady-state analysis. Applying the matrix-geometric method, the formulae for computing the rate matrix and stationary probabilities are obtained. We further develop the matrix-form expressions for various system performance measures. A cost model is constructed to determine the optimal number of servers, the optimal mean service rate and the optimal mean repair rate subject to the stability condition. Finally, we give a practical example to illustrate the potential applicability of this model. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 92
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 100808672
- Full Text :
- https://doi.org/10.1080/00207160.2014.932908