SUBEXPONENTIAL ASYMPTOTICS OF THE BMAP/GI/1 QUEUE
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- Masuyama Hiroyuki
- Kyoto University
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- Liu Bin
- University of Northern Iowa
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- Takine Tetsuya
- Osaka University
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Description
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.
Journal
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- Journal of the Operations Research Society of Japan
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Journal of the Operations Research Society of Japan 52 (4), 377-401, 2009
The Operations Research Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390001204109503616
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- NII Article ID
- 110007502455
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- NII Book ID
- AA00703935
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- ISSN
- 21888299
- 04534514
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- NDL BIB ID
- 10492373
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed