A Tandem Communication Network with Dynamic Bandwidth Allocation and Modified Phase Type Transmission having Bulk Arrivals
This paper deals with the performance evaluation of a two
node communication network with dynamic bandwidth
allocation and modified phase type transmission having
bulk arrivals. The performance of the statistical
multiplexing is measured by approximating with the
compound Poisson process and the transmission
completions with Poisson processes. It is further assumed
that the transmission rate at each node are adjusted
depending upon the content of the buffer which is
connected to it. The packets transmitted through the first
node may be forwarded to the buffer connected to the
second node or get terminated with certain probabilities.
The performance measures of the network like, mean
content of the buffers, mean delays, throughput,
transmitter utilization etc. are derived explicitly under
transient conditions. Sensitivity analysis with respect to
the parameters is also carried through numerical
illustration. It is observed that the dynamic bandwidth
allocation and batch size distribution of arrivals has a
tremendous influence on the performance measures.
Keywords: Compound Poisson process, Modified phase
type transmission, Performance evaluation, Bulk arrivals,
Dynamic Bandwidth Allocation
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