AN M/G/2 QUEUE WITH A FINITE BUFFER
UNDER DUAL CONTROL:
STATIONARY LOST AND COST ANALYSIS
Onkabetse A. Daman$^1$, Sulaiman Sani$^2$
$^1$Department of Mathematics
University of Botswana
Gaborone, BOTSWANA
$^2$Department of Mathematics $\&$ Computer Science
Umaru Musa Yar'Adua University
Katsina, NIGERIA
Abstract. This paper considers a Poisson arrival queuing system with an exponential server (server-1) and a general server (server-2) operating under dual control. We extend our analysis of the same queuing system with an infinite buffer to the finite case. The case presented here has many applications in manufacturing, computer centers and telecommunications systems.
AMS Subject Classification: 60K25
Key Words and Phrases: queuing system, $M/M,G/2$ queue, controlled service schedule, finite capacity, buffer


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DOI: 10.12732/ijam.v28i5.1

Volume: 28
Issue: 5
Year: 2015