Abstract
In this paper, we are concerned with the analysis of the waiting time distribution in the M/M/m retrial queue. We give expressions for the Laplace-Stieltjes transform (LST) of the waiting time distribution and then provide a numerical algorithm for calculating the LST of the waiting time distribution. Numerical inversion of the LSTs is used to calculate the waiting time distribution. Numerical results are presented to illustrate our results.
| Original language | English |
|---|---|
| Pages (from-to) | 1659-1671 |
| Number of pages | 13 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 50 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2013 |
Keywords
- First passage time
- Laplace-Stieltjes transform
- M/M/m retrial queue
- Waiting time