Publicação
The M|M|∞ queue transient probabilities
| Resumo: | 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. |
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| Autores principais: | Ferreira, M. A. M. |
| Assunto: | Transient probabilities M|M|∞ Busy period Exponential distribution |
| Ano: | 2018 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | ISCTE |
| Idioma: | inglês |
| Origem: | Repositório ISCTE |
| Resumo: | 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. |
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