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Considerations on M|G|∞ Queue Busy Period Variance
Document Title
arXiv:2210.04931
Year (definitive publication)
2022
Language
English
Country
United States of America
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Abstract
Some important results on the variance of the M|G|∞ queue busy period are presented. Often, this parameter depends on the whole structure of the service time distribution. So, the importance of the bounds presented, depending only on some parameters. Also, some bounds for service time distributions important in reliability theory, with technological and financial applications, are presented and a particular stochastic ordination is explored to explain those results. Finally, an interesting result about the exponentiality of the MGInf queue busy period, resulting from the coefficient of variation study is shown.
Acknowledgements
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Keywords
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
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