A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
EL-paoumy, M., Radwan, T. (2020). A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals. EKB Journal Management System, 28(1), 1-10. doi: 10.1186/s42787-020-00072-w
Mahdy S. EL-paoumy; Taha Radwan. "A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals". EKB Journal Management System, 28, 1, 2020, 1-10. doi: 10.1186/s42787-020-00072-w
EL-paoumy, M., Radwan, T. (2020). 'A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals', EKB Journal Management System, 28(1), pp. 1-10. doi: 10.1186/s42787-020-00072-w
EL-paoumy, M., Radwan, T. A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals. EKB Journal Management System, 2020; 28(1): 1-10. doi: 10.1186/s42787-020-00072-w

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, Page 1-10  XML PDF (624.39 K)
DOI: 10.1186/s42787-020-00072-w
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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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