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 | ||
| Volume 28, Issue 1, June 2020, Pages 1-10 PDF (624.39 K) | ||
| DOI: 10.1186/s42787-020-00072-w | ||
| Authors | ||
| Mahdy S. EL-paoumy; Taha Radwan1, 2 | ||
| 1Department of Mathematics, College of Sciences and Arts in Ar-Rass, Qassim University, Ar-Rass, Saudi Arabia | ||
| 2Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Fluid queue; M/M/1/N queue; Discouraged arrivals; Buffer content; Matrix approach method | ||
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