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A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
Journal of the Egyptian Mathematical Society Pub Date : 2020-03-25 , DOI: 10.1186/s42787-020-00072-w Mahdy S. EL-paoumy , Taha Radwan
Journal of the Egyptian Mathematical Society Pub Date : 2020-03-25 , DOI: 10.1186/s42787-020-00072-w Mahdy S. EL-paoumy , Taha Radwan
In this paper, a fluid queue driven by truncated queue with discouraged arrivals is considered. Using the efficient matrix technique, the expressions of the steady-state distribution of both the buffer content and stationary state probabilities of background birth-death process are acquired. Then, performance measures and analysis of server utilization and mean buffer content are carried out.
中文翻译:
由具有阻止到达的 M/M/1/N 队列驱动的稳态分析流体模型的矩阵方法
在本文中,考虑了由具有阻止到达的截断队列驱动的流动队列。利用高效矩阵技术,得到了缓冲量稳态分布和背景生死过程稳态概率的表达式。然后,执行服务器利用率和平均缓冲区内容的性能测量和分析。
更新日期:2020-03-25
中文翻译:
由具有阻止到达的 M/M/1/N 队列驱动的稳态分析流体模型的矩阵方法
在本文中,考虑了由具有阻止到达的截断队列驱动的流动队列。利用高效矩阵技术,得到了缓冲量稳态分布和背景生死过程稳态概率的表达式。然后,执行服务器利用率和平均缓冲区内容的性能测量和分析。