| Article ID: | iaor1990321 |
| Country: | United Kingdom |
| Volume: | 41 |
| Issue: | 1 |
| Start Page Number: | 83 |
| End Page Number: | 87 |
| Publication Date: | Jan 1990 |
| Journal: | Journal of the Operational Research Society |
| Authors: | Mukherjee S.P., Chatterjee U. |
A queueing model with server vacations is studied in which it is assumed that the interarrival time has a general distribution, the service-time distribution is exponential and vacations are independently and identically distributed with a general distribution. Using the embedded Markov chain technique, the equilibrium probability distributions of system size have been obtained at pre-arrival and at random epochs separately. Finally, the distribution of waiting time of a customer in the queue (excluding service) has been derived.