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Publication Detailed Description
Some further properties of the busy period of an M/G/oo queue
Journal Title
Central European Journal for Operations Research and Economics
Year (definitive publication)
1996
Language
English
Country
Austria
More Information
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Abstract
Summary: Sufficient conditions are given do deduce the tail of a service time distribution which leads to a specified tail for the busy period distribution. The exact busy period distribution is obtained for two particular service time distributions. When the mean service time is large enough and the arrival rate is fixed, it is shown a tendency of the busy period to be exponentially distributed. A numerical study is provided; which supports the exponential tendency. Bounds for the busy period nth moments are provided. The renewal process related to the busy period is studied.
Acknowledgements
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Keywords
bush period tail distribution,exponential busy period distribution,busy period renewal process,busy period nth moments
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
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