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Tail asymptotics of the queue size distribution in the M/M/m retrial queue
- Source :
-
Journal of Computational & Applied Mathematics . Aug2012, Vol. 236 Issue 14, p3445-3460. 16p. - Publication Year :
- 2012
-
Abstract
- Abstract: We consider an M/M/m retrial queue and investigate the tail asymptotics for the joint distribution of the queue size and the number of busy servers in the steady state. The stationary queue size distribution with the number of busy servers being fixed is asymptotically given by a geometric function multiplied by a power function. The decay rate of the geometric function is the offered load and independent of the number of busy servers, whereas the exponent of the power function depends on the number of busy servers. Numerical examples are presented to illustrate the result. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 236
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 74662381
- Full Text :
- https://doi.org/10.1016/j.cam.2012.03.027