Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/5660
Autoria: Ferreira, Manuel Alberto M.
Andrade, Marina
Data: 2011
Título próprio: The M/G/∞ queue busy period distribution exponentiality
Volume: 4
Número: 3
Paginação: 249-260
Referência bibliográfica: Ferreira, M. A. M., & Andrade, M. (2011). The M/G/∞ queue busy period distribution exponentiality. Aplimat - Journal of Applied Mathematics, 4(3), 249-260. http://dx.doi.org/10.1155/4185
ISSN: 1337-6365
DOI (Digital Object Identifier): 10.1155/4185
Palavras-chave: M/G/∞ queue
Busy period
Exponential distribution
Power function distribution
Distribuição de Pareto -- Pareto Distribution
Resumo: Infinite servers queuing systems are often used to solve a large number of practical problems, namely in Engineering, Biology, Management, Finance and Sociology. The study of the M/G/∞ systems busy period is very important. Yet it is a very difficult task. This paper presents a service time distributions collection for which the length of the busy period is almost exponential. It is also shown that in heavy-traffic conditions, for a certain class of service time distributions, the length of the busy period of the M/G/∞ systems is approximately exponentially distributed. Thus, in all these cases, the study of this busy period is much simpler.It is also exemplified, with the power function and the Pareto service distributions, that it is possible to have in some particular situations an approximately exponential behaviour for the M/G/∞ queue busy period length.
Arbitragem científica: Sim
Acesso: Acesso Aberto
Aparece nas coleções:DM-RI - Artigos em revistas científicas internacionais com arbitragem científica

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