M/M/∞ busy period and busy cycle distribution function bounds

Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/9818

Autoria:	Ferreira, Manuel Alberto M. Andrade, M.
Data:	2013
Título próprio:	M/M/∞ busy period and busy cycle distribution function bounds
Volume:	5
Número:	1
Paginação:	22-25
ISSN:	2075-4124
Palavras-chave:	Bounds Busy period Distribution function M/M/∞
Resumo:	The busy period length distribution function knowledge is important for any queue system, and in particular for the M/M/∞ queue. But the mathematical expressions are in general very complicated, with a few exceptions, involving usually infinite sums and multiple convolutions. So, in this work are deduced some bounds for the M/M/∞ system busy period length distribution function, meaning the second M exponential service time, which analytic expressions are simpler than the exact one. As a consequence, also some bounds for the M/M/∞ system busy cycle length distribution function are presented
Arbitragem científica:	Sim
Acesso:	Acesso Embargado
Aparece nas coleções:	BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica DM-RI - Artigos em revistas científicas internacionais com arbitragem científica