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

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1 Department of Mathematics, College of Sciences and Arts in Ar-Rass, Qassim University, Ar-Rass, Saudi Arabia

2 Department 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.

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