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In the Search for the Infinite Servers Queue with Poisson Arrivals Busy Period Distribution Exponential Behavior
Document Title
arXiv:2109.14270
Year (definitive publication)
2021
Language
English
Country
United States of America
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Abstract
This paper purpose is to investigate exponential behavior conditions for the infinite servers queue with Poisson arrivals busy period length distribution. It is presented a general theoretical result that is the basis of this work. The complementary analysis rely on the infinite servers queue with Poisson arrivals busy period length distribution moments computation. In infinite servers queue with Poisson arrivals practical applications, in economic, management, and business areas, the management of the effective number of servers is essential since the physical presence of infinite servers is not viable and so it is necessary to create that condition through an adequate management of the number of servers during the busy period.
Acknowledgements
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Keywords
M|G|∞ queue system,busy period,exponential distribution,moments.
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
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