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The moments of the M/M/s queue length process

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URI: https://hdl.handle.net/10016/5990
ISSN: 0257-0130 (Print)
ISSN: 1572-9443 (Online)
DOI: 10.1023/A:1024718709227
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moments_marcellan_qs_2003_ps.pdf (171.76 KB)
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2003-07
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Springer
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Abstract
A representation for the moments of the number of customers in a M/M/s queueing system is deduced from the Karlin and McGregor representation for the transition probabilities. This representation allows us to study the limit behavior of the moments as time tends to infinity. We study some consequences of the representation for the mean.
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24 pages, no figures.-- MSC2000 codes: 60K25, 68J80, 42C05.
MR#: MR1998083 (2004e:60152)
Zbl#: Zbl 1035.90023
Keywords
M/M/s queue, Moments, Limit behavior, Orthogonal polynomials, Transient behavior
Bibliographic citation
Queueing Systems, 2003, vol. 44, n. 3, p. 281-304
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