| Article ID: | iaor2001506 |
| Country: | Cuba |
| Volume: | 21 |
| Issue: | 1 |
| Start Page Number: | 32 |
| End Page Number: | 37 |
| Publication Date: | Jan 2000 |
| Journal: | Revista de Investigacin Operacional |
| Authors: | Madan K.C. |
| Keywords: | M/M/1 queues |
We study an M/M/1 queueing system in which the arrival stream is ‘shut off’ from time to time. The time-dependent probability generating functions of the number in the system have been found. The corresponding steady state results have been derived. The mean number in the system as well as server's utilization time and idle time have been obtained explicitly. In a particular case, some well-known results have been derived.