The transient solution to M/Ek/1 queue

被引：27

作者：

Griffiths, JD ^{[1
]}

Leonenko, GM ^{[1
]}

Williams, JE ^{[1
]}

机构：

[1] Cardiff Univ, Sch Math, Cardiff CF24 4AG, Wales

来源：

OPERATIONS RESEARCH LETTERS | 2006年 / 34卷 / 03期

关键词：

Erlang service times; transient solution; generalisated modified Bessel function;

D O I：

10.1016/j.orl.2005.05.010

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The single-channel queueing equations considered in this paper are characterised by Poisson-distributed arrivals and Erlang service times. The transient phase probabilities are obtained in terms of a new generalisation of the modified Bessel function, and the mean waiting time in the queue is evaluated. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：349 / 354

页数：6

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[1]

[Anonymous], TREATISE GENERATING

[2]

[Anonymous], 1997, OPTIMIZATION, DOI DOI 10.1080/02331939708844299

[3]

[Anonymous], 2000, DIFFERENCE EQUATIONS

[4]

CHAMPERNOWNE DG, 1956, J ROY STAT SOC B, V18, P125