Xiaozhu Kang, Hui Zhang, et al.
ICWS 2008
We provide a large deviation result for a random sum ∑n=0Nx Xn, where Nx is a renewal counting process and {Xn}n≥0 are i.i.d. random variables, independent of Nx, with a common distribution that belongs to a class of square root insensitive distributions. Asymptotically, the tails of these distributions are heavier than e-√x and have zero relative decrease in intervals of length √x, hence square root insensitive. Using this result we derive the asymptotic characterization of the busy period distribution in the stable GI/G/1 queue with square root insensitive service times; this characterization further implies that the tail behavior of the busy period exhibits a functional change for distributions that are lighter than e-√x. © 2004 INFORMS.
Xiaozhu Kang, Hui Zhang, et al.
ICWS 2008
Indranil R. Bardhan, Sugato Bagchi, et al.
JMIS
Yun Mao, Hani Jamjoom, et al.
CoNEXT 2006
Gal Badishi, Idit Keidar, et al.
IEEE TDSC