| dc.description.abstract |
In this paper, we develop a finite queueing model having
single and batch service modes for telecommunication system, where
two types of traffic, i.e. voice and data arrive in Poisson fashion. The
server starts service only when N packets are accumulated in the
system. The server performs service singly until there are C packets in
the system. After then type 2 packets are discarded and all type 1
packets are served in a batch. The arrival rates of packets depend upon
the server’s status. The transient state probabilities of system states are
obtained by solving a set of linear equations with the help of Laplace
Transform technique. Performance indices such as average queue
length, expected idle time, and expected busy period are determined.
We also investigate the optimal value of threshold parameter N and C
after which the server changes the mode of service in order to
minimize the expected cost. The numerical illustrations are provided
to visualize the effect of various parameters on system performance |
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