Scientific journal paper
M|G|∞ queue busy period length with PME distribution analysis through Laplace transform
Manuel Ferreira (Ferreira, M. A. M.);
Journal Title
Acta Scientiae et Intellectus
Year (definitive publication)
2018
Language
English
Country
Azerbaijan
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(Last checked: 2026-04-11 18:28)

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Abstract
In this article it is shown that if the busy period of a M|G|∞ queue system is PME distributed, the respective service time is a random variable with a long-tail distribution. The result is obtained through Laplace transforms analysis.
Acknowledgements
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Keywords
M| G | ∞,Busy period,PME distribution,Long-tail distribution,Laplace transfor
Fields of Science and Technology Classification
  • Mathematics - Natural Sciences
Funding Records
Funding Reference Funding Entity
UID/MULTI/0446/2013 Fundação para a Ciência e a Tecnologia
UID/GES/00315/2013 Fundação para a Ciência e a Tecnologia
Publication Identifiers
cv-prod-id-2102937
http://hdl.handle.net/10071/16574
2410-9738
ci-pub-49336
http://hdl.handle.net/10071/16574
Other Publication Details
2018
Universum Research E-Center
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2410-9738 (print)
2519-1896 (online)
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4 3
15 - 20
Yes
Both (printed and digital)
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