| Article ID: | iaor20012545 |
| Country: | Netherlands |
| Volume: | 40 |
| Issue: | 10/11 |
| Start Page Number: | 1233 |
| End Page Number: | 1240 |
| Publication Date: | Oct 2000 |
| Journal: | Computers & Mathematics with Applications |
| Authors: | Kumar B. Krishna, Arivudainambi D. |
| Keywords: | M/M/1 queues, queueing networks |
A transient solution for the system size in the M/M/1 queueing model with the possibility of catastrophes at the service station is derived in the direct way. Asymptotic behavior of the probability of the server being idle and mean queue size are discussed. Steady-state probabilities are also obtained.