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

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

Author(s): Marcellán Español, Francisco José; Pérez, G.
Publisher: Springer
Issued date: 2003-07
Citation: Queueing Systems, 2003, vol. 44, n. 3, p. 281-304
ISSN: 0257-0130 (Print)
1572-9443 (Online)
DOI: 10.1023/A:1024718709227
Sponsor: The work of the first author (F.M.) was supported by Direccíon General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM 2000-0206-C04-01 and INTAS 2000-272.
Review: PeerReviewed
Publisher version: http://dx.doi.org/10.1023/A:1024718709227
Keywords: M/M/s queue , Moments , Limit behavior , Orthogonal polynomials , Transient behavior
URI: http://hdl.handle.net/10016/5990
Rights: © Springer

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 ten [+]

Description:

 
24 pages, no figures.-- MSC2000 codes: 60K25, 68J80, 42C05.
 
MR#: MR1998083 (2004e:60152)
 
Zbl#: Zbl 1035.90023
 

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