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http://hdl.handle.net/10071/10701
acessibilidade
Title: A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
Authors: Ferreira, Manuel Alberto M.
Keywords: Markov renewal process
Tridiagonal matrix
M/M/oo queue
Pfaffian
Exact differential equation
Issue Date: 2015
Publisher: "UNIVERSUM" RESEARCH E-CENTER
Abstract: This work main objective is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with infinite coutable states space, which semi-Markov matrixes Q(t) are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for R(t) is a great obstacle to its application in practical cases modelling. It is exemplified the application to the M/M/oo queue particular case. The work presented in (5) is resumed but now the emphasis is put in the determination of pfaffian solutionthat must be considered in this example.
Peer reviewed: Sim
URI: https://ciencia.iscte-iul.pt/public/pub/id/25075
http://hdl.handle.net/10071/10701
ISSN: 2410-9738
Publisher version: The definitive version is available at: www.actaint.com
Appears in Collections:BRU-RI - Artigo em revista científica internacional com arbitragem científica
DM-RI - Artigos em revistas científicas internacionais

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