Steady-state Analysis of Bernoulli Feedback on GeomX /G/1 Queue with Multiple Vacation and Set-up Times

Steady-state Analysis of Bernoulli Feedback on GeomX /G/1 Queue with Multiple Vacation and Set-up Times
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DOI:
10.7763/ijapm.2011.v1.12
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发表时间:
2011
期刊:
International Journal of Applied Physics and Mathematics
影响因子:
--
通讯作者:
Songfang Jia;Yanheng Chen;Jinkui Liu
Songfang Jia;Yanheng Chen;Jinkui Liu
中科院分区:
其他
文献类型:
--
作者:
Songfang Jia;Yanheng Chen;Jinkui Liu

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考虑问题//1 X Geom G,一个具有伯努利反馈、多重休假和启动时间的离散时间排队模型。推导了稳态队长、等待时间的母函数及其随机分解。并且我们还得到了忙期的母函数,给出了一些特殊情形,并给出一些数值例子来研究不同参数对我们系统的主要性能特征的影响。
The problem / /1 X Geom G , a queuing model of discrete time with Bernoulli feedback, multiple vacation and Set-up times is considered. The generating function of the steady state queue length, waiting time and their stochastic decomposition are derived. And we also get the generating function of busy period, give some special cases, and present some numerical examples to study the effect of the varying parameters on the main Perf-ormance characteristics of our system.