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Publication Detailed Description
Journal Title
Revista de Estatística
Year (definitive publication)
2002
Language
English
Country
Portugal
More Information
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Alternative Titles
(Portuguese) Uma colecção de sistemas M|G|∞ com período de ocupação exponencial
Abstract
This paper describes how studying the transient behaviour of the M|G|∞ system, starting at the beginning of a busy period, it is possible to determine a collection of service distributions for which the length of the busy period is exponential, with an atom at the origin. We determine also the distribution of the busy cycle length for these systems and the mean number of busy periods that begin in [0,t ].
Acknowledgements
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Keywords
M|G|∞,Busy period,Busy cycle,Ricatti’s equation,Exponential distribution
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
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