Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/9818
Author(s): | Ferreira, Manuel Alberto M. Andrade, M. |
Date: | 2013 |
Title: | M/M/∞ busy period and busy cycle distribution function bounds |
Volume: | 5 |
Number: | 1 |
Pages: | 22-25 |
ISSN: | 2075-4124 |
Keywords: | Bounds Busy period Distribution function M/M/∞ |
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 |
Peerreviewed: | Sim |
Access type: | Embargoed Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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publisher_version_IJAR2013_Ferreira_busy_period_and_busy_cycle.pdf Restricted Access | 497,92 kB | Adobe PDF | View/Open Request a copy |
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