EXTREMAL PROPERTY OF WAITING TIMES IN $GI|G|1|\infty$ MODEL
DOI:
https://doi.org/10.46991/PYSU:A/2005.39.3.047Keywords:
waiting times, FIFO discipline, Poissonian entering streamAbstract
In the present paper stationary distribution functions W and W* of waiting times, which are limits for actual and virtual waiting times across the time axis, in the GI|G| 1 |∞ model under FIFO discipline are examined. The following extremal property is proved. For all x ∊(0,+∞) in the case of non-Poissonian entering stream of demands the strict inequalities W(x)>W*(x)> Ŵ(x) are valid, where Ŵ is the waiting times’ stationary distribution function in the case of the Poissonian entering stream.
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Published
2005-10-20
How to Cite
Danielyan, A. A. (2005). EXTREMAL PROPERTY OF WAITING TIMES IN $GI|G|1|\infty$ MODEL. Proceedings of the YSU A: Physical and Mathematical Sciences, 39(3 (208), 47–52. https://doi.org/10.46991/PYSU:A/2005.39.3.047
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Mathematics
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Copyright (c) 2005 Proceedings of the YSU
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