Lajos Takács, "Limit distributions for queues and random rooted trees", International Journal of Stochastic Analysis, vol. 6, Article ID 814968, 28 pages, 1993. https://doi.org/10.1155/S1048953393000176
Limit distributions for queues and random rooted trees
In this paper several limit theorems are proved for the fluctuations of the queue size during the initial busy period of a queuing 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.
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