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

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

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...

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Bibliographic Details
Main Authors: Mahdy S. EL-paoumy, Taha Radwan
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Fluid queue
M/M/1/N queue
Discouraged arrivals
Buffer content
Matrix approach method
Online Access:http://link.springer.com/article/10.1186/s42787-020-00072-w

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