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http://hdl.handle.net/10071/9818
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Title: M/M/∞ busy period and busy cycle distribution function bounds
Authors: Ferreira, Manuel Alberto M.
Andrade, M.
Keywords: Bounds
Busy period
Distribution function
M/M/∞
Issue Date: 2013
Publisher: Progress IPS LLC
Abstract: The busy period length distribution function knowledge is important for any queue system, and in particular for the M/M/∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M/M/∞ system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for the M/M/∞ system busy cycle length distribution function are presented
Peer reviewed: Sim
URI: https://ciencia.iscte-iul.pt/public/pub/id/8501
http://hdl.handle.net/10071/9818
ISSN: 2075-4124
Publisher version: The definitive version is available at: http://dx.doi.org/10.7813/2075-4124.2013/5-1/A.4
Appears in Collections:BRU-RI - Artigo em revista científica internacional com arbitragem científica
DM-RI - Artigos em revistas científicas internacionais

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