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

Autor: Mahdy S. EL-paoumy, Taha Radwan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of the Egyptian Mathematical Society, Vol 28, Iss 1, Pp 1-10 (2020)
Druh dokumentu: article
ISSN: 2090-9128
DOI: 10.1186/s42787-020-00072-w
Popis: 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.
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