We consider the variability of queueing departure processes. Previous results have shown the so-called BRAVO effect occurring in M/M/1/K and GI/G/1 queues: Balancing Reduces Asymptotic Variance of Outputs. A factor of (1-2/pi) appears in GI/G/1 and a factor of 1=3 appears in M/M/1/K, for large K. A missing piece in the puzzle is the GI/G/1/K queue: is there a BRAVO effect? If so, what is the variability? Does 1/3 play a role?
This open problem paper addresses these questions by means of numeric and simulation results.
We conjecture that at least for the case of light tailed distributions, the variability parameter is 1/3 multiplied by the sum of the squared coeffcients of variations of the inter-arrival and service times.

Original language | English |
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Place of Publication | Eindhoven |
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Publisher | Eurandom |
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Number of pages | 9 |
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Publication status | Published - 2009 |
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Name | Report Eurandom |
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Volume | 2009045 |
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ISSN (Print) | 1389-2355 |
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