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
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;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325696
