| Article ID: | iaor1997362 |
| Country: | United States |
| Volume: | 6 |
| Issue: | 3 |
| Start Page Number: | 189 |
| End Page Number: | 216 |
| Publication Date: | Jul 1993 |
| Journal: | Journal of Applied Mathematics and Stochastic Analysis |
| Authors: | Takcs Lajos |
In this paper several limit theorems are proved for the fluctuations of the queue size during the initial busy period of a queueing process with one server. These theorems are used to find the solutions of various problems connected with the heights and widths of random rooted trees.