A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals

被引：0
|
作者：
Mahdy S. EL-paoumy
Taha Radwan
机构：
[1] Al-Azhar University,Department of Statistics, Faculty of Commerce
[2] Qassim University,Department of Mathematics, College of Sciences and Arts in Ar
[3] Port Said University,Rass
来源：
Journal of the Egyptian Mathematical Society | / 28卷 / 1期
关键词：
Fluid queue; queue; Discouraged arrivals; Buffer content; Matrix approach method; 90B22; 60K25; 68M20; 44A10;
D O I：
10.1186/s42787-020-00072-w
中图分类号：
学科分类号：
摘要：
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.
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