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http://hdl.handle.net/10071/17328
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Title: The M|M|∞ queue transient probabilities
Authors: Ferreira, M. A. M.
Keywords: Transient probabilities
M|M|∞
Busy period
Exponential distribution
Issue Date: 2018
Publisher: Universum Research E-Center
Abstract: In the theory and applications of queuing systems, transient probabilities play a key role. Often, due to the difficulty of their calculation they are replaced by the stationary probabilities. In the case of M|G|∞ systems, those calculations are much friendlier than usual. We present in this work formulas for the transient probabilities of the M|M|∞ system, where are considered service times with exponential distribution, showing that it is also possible to calculate them with initial conditions different from those usually considered.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/17328
ISSN: 2410-9738
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-54837
Appears in Collections:BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica
ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica

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