Faculty Publications
Subexponential Asymptotics Of The Bmap/Gi/1 Queue
Document Type
Article
Keywords
BMAP (Batch Markovian Arrival Process), Independent sampling, Queue, Random sum, Square-root insensitive, Subexponential asymptotics
Journal/Book/Conference Title
Journal of the Operations Research Society of Japan
Volume
52
Issue
4
First Page
377
Last Page
401
Abstract
This paper considers the stationary queue length and waiting time distributions in a FIFO BMAP/GI/1 queue with heavy-tailed service times and that with heavy-tailed batch sizes. In each case, we provide sufficient conditions under which the stationary queue length and waiting time distributions are subexponential. Furthermore, we obtain asymptotic relationships between the tail distributions of the stationary queue length and waiting time.
Department
Department of Mathematics
Original Publication Date
1-1-2009
DOI of published version
10.15807/jorsj.52.377
Recommended Citation
Masuyama, Hiroyuki; Liu, Bin; and Takine, Tetsuya, "Subexponential Asymptotics Of The Bmap/Gi/1 Queue" (2009). Faculty Publications. 2314.
https://scholarworks.uni.edu/facpub/2314
