Scientific journal paper
Differential equations arising in the M|G|? queue transient behavior study
Manuel Ferreira (Ferreira, M. A. M.);
Journal Title
International Journal of Academic Research
Year (definitive publication)
2014
Language
English
Country
Azerbaijan
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Times Cited: 1

(Last checked: 2026-04-11 18:28)

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Abstract
In this work, the M|G|? queue system transient probabilities, with time origin at the beginning of a busy period, are determined. It is emphasized the obtained distribution mean and variance study as time functions. In this study, for which it is determinant the hazard rate function service time, arise some differential equations which solutions lead to some particular service time distributions for which those parameters present a particular behavior.
Acknowledgements
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Keywords
M|G ?, Transient probabilities, Hazard rate function, Differential equations