A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process
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 applicat...
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| Format: | article |
| Language: | eng |
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2016
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| Online Access: | http://hdl.handle.net/10071/10701 |
| Country: | Portugal |
| Oai: | oai:repositorio.iscte-iul.pt:10071/10701 |
| Summary: | 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. |
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