Regularly varying tail of the waiting time distribution in M/G/1 retrial queue
Regularly varying tail of the waiting time distribution in M/G/1 retrial queue
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DOI：
10.1007/s11134-010-9180-3
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发表时间：
2010-08
期刊：
影响因子：
1.2
通讯作者：
Jerim Kim;Jeongsim Kim;Bara Kim
中科院分区：
文献类型：
--
作者：
Jerim Kim;Jeongsim Kim;Bara Kim
考虑服务时间分布为指数为−β，β>1的规则变化尾的M/G/1重试排队系统.等待时间分布被证明具有指数为1−β的规则变化的尾部，并且前因子被明确地确定。通过比较M/G/1重试排队与随机顺序服务的普通M/G/1排队的等待时间，得到了该排队的结果。
We consider an M/G/1 retrial queue where the service time distribution has a regularly varying tail with index −β,β>1. The waiting time distribution is shown to have a regularly varying tail with index 1−β, and the pre-factor is determined explicitly. The result is obtained by comparing the waiting time in the M/G/1 retrial queue with the waiting time in the ordinary M/G/1 queue with random order service policy.