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An M/G/1 retrial queue with balking customers and Bernoulli working vacation interruption
Quality Technology and Quantitative Management ( IF 2.8 ) Pub Date : 2018-05-31 , DOI: 10.1080/16843703.2018.1480264
Tao Li 1 , Liyuan Zhang 2 , Shan Gao 3
Affiliation  

In this paper, an M/G/1 retrial queue with general retrial times and Bernoulli working vacation interruption is considered. If the server is busy, an arriving customer either enters an orbit with probability q (0<q1) or balks (does not enter) with probability 1-q. During a working vacation period, if there are customers in the system at a service completion instant, the vacation either is interrupted with probability p (0p1) or continues with probability 1-p. By applying the supplementary variable technique, we obtain the steady state joint distribution of the server and the number of customers in the orbit. Various interesting performance measures are also derived. Finally, some numerical examples and cost optimization analysis are presented.



中文翻译:

一个M / G / 1重试队列,其中有乏味的客户和Bernoulli工作假期中断

本文考虑了具有一般重试时间和伯努利工作假期中断的M / G / 1重试队列。如果服务器繁忙,则到达客户要么以概率q0<q1个)或以概率拒绝(不进入) 1个--q。在工作休假期间,如果系统在服务完成瞬间有客户,则休假将以概率p0p1个)或继续进行 1个--p。通过应用补充变量技术,我们获得了服务器的稳态联合分布以及在轨用户数。还得出了各种有趣的性能指标。最后,给出了一些数值算例和成本优化分析。

更新日期:2018-05-31
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