A Note on M/M/1 Queues with Gamma-Distributed Vacations

Böhm, Walter (1991) A Note on M/M/1 Queues with Gamma-Distributed Vacations. Forschungsberichte / Institut für Statistik, 22. Department of Statistics and Mathematics, WU Vienna University of Economics and Business, Vienna.


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In this note we derive a simple formula for the density of Sn = i=1n Ti, where Ti is the duration of the i-th busy cycle in an M/M/1 queueing model with gamma distributed server vacations. Using this result we find the distribution of the queue length by standard renewal arguments. (author's abstract)

Item Type: Paper
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Depositing User: Repository Administrator
Date Deposited: 11 Jul 2006 08:02
Last Modified: 22 Oct 2019 00:41
URI: https://epub.wu.ac.at/id/eprint/362


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