Far East Journal of Theoretical Statistics
Volume 18, Issue 2, Pages 179 - 192
(March 2006)
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INTERDEPENDENT COMMUNICATION NETWORK WITH MULTIPLE
TRANSMITTERS
P. V. G. D. Prasad Reddy (India) and K. Srinivasa Rao (India)
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Abstract: In this paper we develop and analyse a communication network
with the assumption that the number of arrivals and the transmission completions
of the packets in networks are correlated and follow a Bivariate Poisson
process. It is also assumed that a buffer is connected to multiple (c)
transmitters each serve independent of the other with equal efficiency. Using
the Kolmogorov forward equations the buffer size distribution, the average
number of packets in the buffer, the average delays and throughput are derived
and analyzed. It is observed that the dependence between the arrival of packets
and the number of transmissions can reduce the congestion in the buffer and
improve efficiency of the network. These networks are useful for efficient
design and analysis of satellite communications, ATM scheduling, reservation
system, etc. |
Keywords and phrases: communication network, bivariate Poisson process, buffer size
distribution, through-put. |
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