SUBEXPONENTIAL ASYMPTOTICS OF THE BMAP/GI/1 QUEUE

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概要

• 論文の詳細を見る

• 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.

著者

• Masuyama Hiroyuki

  Kyoto University

• Masuyama Hiroyuki

  Kyoto Univ. Kyoto Jpn

• Takine Tetsuya

  Osaka Univ.

• Takine Tetsuya

  Osaka University

• Liu Bin

  University Of Northern Iowa

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