Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/32874
Autoria: | Ferreira, M. A. M. |
Editor: | El-Sayed Mohamed Abo-Dahab Khedary |
Data: | 2024 |
Título próprio: | Time in transit unraveling the transient behavior of M|M|m|m queues |
Volume: | 9 |
Título e volume do livro: | Research and applications towards mathematics and computer science |
Paginação: | 44 - 65 |
Referência bibliográfica: | Ferreira, M. A. M. (2024). Time in transit unraveling the transient behavior of M|M|m|m queues. In S. M. A.-D. Khedary (Ed.), Time in transit unraveling the transient behavior of M|M|m|m queues (vol.9, pp. 44-65). B P International. https://doi.org/10.9734/bpi/ratmcs/v9/7309B |
ISBN: | 978-81-970187-9-4 |
DOI (Digital Object Identifier): | 10.9734/bpi/ratmcs/v9/7309B |
Palavras-chave: | M|M|m|m M|M|∞ Transient probabilities |
Resumo: | Computing an exact solution for the differential equations, with differences, system that allows the determination of the M|M|m|m system transient probabilities is a hard task. The respective complexity grows with m. The computations are extremely fastidious and the length and the fact that the expressions obtained are often approximate, and not exact, will not allow the transient probabilities behavior as time functions characterization. To overcome these problems, in this work it is analyzed how that system can supply approximate values to the M|M|m|m queue system, through matrix calculations. It is also presented an asymptotic method to solve the system that becomes possible in many cases to obtain simple approximated expressions for those probabilities using the M|M|∞ transient probabilities, very well-known and very much easier to study. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | ISTAR-CLI - Capítulos de livros internacionais |
Ficheiros deste registo:
Ficheiro | Tamanho | Formato | |
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bookPart_102675.pdf | 441,29 kB | Adobe PDF | Ver/Abrir |
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