Name
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 probability p or 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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1080/00207160.2014.932908 | International Journal of Computer Mathematics |
Keywords | Field | DocType |
90C53, 90B22, 68M20, 60K25, cost, starting failure, matrix-geometric method, retrial queue, Bernoulli feedback | Mathematical optimization,Expression (mathematics),Matrix (mathematics),Computer science,Multi server,Server,Matrix geometric method,Queueing system,Bernoulli's principle,Retrial queue | Journal |
Volume | Issue | ISSN |
92 | 5 | 0020-7160 |
Citations | PageRank | References |
1 | 0.38 | 16 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dong-Yuh Yang | 1 | 62 | 9.79 |
| Jau-Chuan Ke | 2 | 348 | 44.17 |
| Chia-Huang Wu | 3 | 62 | 11.61 |