Working Papers
The Age or Excess of the MGinf Queue Busy Cycle Mean Value
Manuel Ferreira (Ferreira, M. A. M.);
Document Title
arXiv:2110.06374
Year (definitive publication)
2021
Language
English
Country
United States of America
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Times Cited: 11

(Last checked: 2024-08-22 19:33)

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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.
Acknowledgements
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Keywords
  • Mathematics - Natural Sciences
  • Computer and Information Sciences - Natural Sciences

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