DocumentCode
2109515
Title
On the MacLaurin series in light traffic for a single server queue
Author
Nananukul, Soracha ; Gong, Wei-Bo
Author_Institution
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
fYear
1993
fDate
15-17 Dec 1993
Firstpage
2752
Abstract
In this paper, we consider 2 definitions of light traffic: 1) rescaling the interarrival times, and 2) thinning the arrival process. We derive the MacLaurin series of the mean waiting time E[W] in light traffic for a GI/G/1 queue using each definition. Also, we show that the MacLaurin series have a positive radius of convergence
Keywords
queueing theory; series (mathematics); GI/G/1 queue; MacLaurin series; arrival process thinning; interarrival time rescaling; light traffic; mean waiting time; positive convergence radius; single server queue; Convergence; Convolution; Density functional theory; Interpolation; Laplace equations; Random variables; Traffic control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location
San Antonio, TX
Print_ISBN
0-7803-1298-8
Type
conf
DOI
10.1109/CDC.1993.325696
Filename
325696
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