Name
Title | ||
|---|---|---|
On the multi-server retrial queue with geometric loss and feedback: computational algorithm and parameter optimization |
Abstract | ||
|---|---|---|
We consider an M/M/c retrial queue with geometric loss and feedback. An arriving customer finding a free server enters into service immediately; otherwise the customer either enters into an orbit to try again after a random amount of time or leave the system without service. After the completion of service, he decides either to join the retrial orbit or to leave the system. The retrial system is modelled by a quasi-birth-and-death process, and some system performance measures are derived. The useful formulae for computing the rate matrix and stationary probabilities are derived by means of matrix-analytical approach. A cost model is derived to determine the optimal values of the number of servers and service rate simultaneously at the minimal total expected cost per unit time. Illustrative numerical examples demonstrate the optimization approach as well as the effect of various parameters on system performance measures. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207160.2010.498884 | Int. J. Comput. Math. |
Keywords | Field | DocType |
multi-server retrial queue,system performance measure,computational algorithm,optimization approach,matrix-analytical approach,parameter optimization,service rate,cost model,unit time,geometric loss,retrial system,retrial orbit,rate matrix,retrial queue,system performance,quasi newton method,feedback | Orbit,Mathematical optimization,Quasi-Newton method,Matrix (mathematics),Multi server,Computer science,Server,Algorithm,Expected cost,Retrial queue | Journal |
Volume | Issue | ISSN |
88 | 5 | 0020-7160 |
Citations | PageRank | References |
2 | 0.39 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chuen-Horng Lin | 1 | 231 | 15.93 |
| Jau-Chuan Ke | 2 | 348 | 44.17 |