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arXiv · 2110.06374

The Age or Excess of the MGinf Queue Busy Cycle Mean Value

Manuel Alberto M. Ferreira·Marina Andrade·José António Filipe
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Abstract

In this work, approximate and exact results concerning a performance measure of the MGinf system, the age or the excess of the busy cycle, are presented. It will be seen that it is also a measure of the busy period performance. Service distributions for which it is given for a simple expression and others for which this does not happen are considered. For this last case, bounds are deduced. A special emphasis is given to the exponential distribution and to those related with it, useful in reliability theory.

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Manuel Alberto M. Ferreira, Marina Andrade, José António Filipe. 2021-10-12. The Age or Excess of the MGinf Queue Busy Cycle Mean Value. https://doi.org/10.5539/cis.v5n5p93

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