| Article ID: | iaor2002974 |
| Country: | India |
| Volume: | 31 |
| Issue: | 2 |
| Start Page Number: | 111 |
| End Page Number: | 115 |
| Publication Date: | Feb 2000 |
| Journal: | Indian Journal of Pure and Applied Mathematics |
| Authors: | Coffey J. |
| Keywords: | D/D/1 queues |
This paper discusses a deterministic single-server queueing model in which the interarrival time is fixed and the service times vary from one customer to another, although they are always less than the interarrival time. Explicit formulas are given for the number of customers in the system as a function of time, and the waiting time of each customer. Moreover, a necessary and sufficient condition is given for the number of customers in the system to remain at or above a given level.