The geo/g/1 queue with disasters and multiple working vacations

被引:27
|
作者
Yi, Xeung Won
Kim, Jin Dong
Choi, Dae Won
Chae, Kyung Chul
机构
[1] Korea Informat Serv, Risk Consulting Grp, Seoul 150910, South Korea
[2] Korea Exchange Bank, Seoul, South Korea
[3] SAMSUNG SDS, Seoul, South Korea
[4] Korea Adv Inst Sci & Technol, Dept Ind Engn, Taejon, South Korea
关键词
disasters; discrete-time; geo/G/1; queue; queue-length; working vacation;
D O I
10.1080/15326340701645926
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, we first consider a Geo/G/1 queue with disasters that remove all workloads from the system upon their occurrence. We present the steady-state queue-length distribution of the Geo/G/1 queue with disasters. Using this result, we then analyze the Geo/G/1 queue with multiple working vacations in which the server works at a different rate rather than completely stopping during the vacation period. We also present the steady-state queue-length distribution of the Geo/G/1 queue with multiple working vacations.
引用
收藏
页码:537 / 549
页数:13
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