Vijaya Laxmi P, Suchitra V
Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India.
Int Sch Res Notices. 2014 Oct 29;2014:392317. doi: 10.1155/2014/392317. eCollection 2014.
We study a finite buffer N-policy GI/M(n)/1 queue with Bernoulli-schedule vacation interruption. The server works with a slower rate during vacation period. At a service completion epoch during working vacation, if there are at least N customers present in the queue, the server interrupts vacation and otherwise continues the vacation. Using the supplementary variable technique and recursive method, we obtain the steady state system length distributions at prearrival and arbitrary epochs. Some special cases of the model, various performance measures, and cost analysis are discussed. Finally, parameter effect on the performance measures of the model is presented through numerical computations.
我们研究了一个具有伯努利调度休假中断的有限缓冲区N策略GI/M(n)/1排队系统。服务器在休假期间以较慢的速率工作。在工作休假期间的服务完成时刻，如果队列中至少有N个客户，则服务器中断休假，否则继续休假。使用补充变量技术和递归方法，我们得到了到达前和任意时刻的稳态系统长度分布。讨论了该模型的一些特殊情况、各种性能指标和成本分析。最后，通过数值计算给出了参数对模型性能指标的影响。
