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Performance Evaluation of Three-Node Tandem Communication Network Model with Feedback for First Two nodes Having Non Homogeneous Poisson Arrivals

by G. Naga Satish, Ch. V. Raghavendran, M. V. Rama Sundari, P. Suresh Varma
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 98 - Number 12
Year of Publication: 2014
Authors: G. Naga Satish, Ch. V. Raghavendran, M. V. Rama Sundari, P. Suresh Varma
10.5120/17236-7564

G. Naga Satish, Ch. V. Raghavendran, M. V. Rama Sundari, P. Suresh Varma . Performance Evaluation of Three-Node Tandem Communication Network Model with Feedback for First Two nodes Having Non Homogeneous Poisson Arrivals. International Journal of Computer Applications. 98, 12 ( July 2014), 26-36. DOI=10.5120/17236-7564

@article{ 10.5120/17236-7564,
author = { G. Naga Satish, Ch. V. Raghavendran, M. V. Rama Sundari, P. Suresh Varma },
title = { Performance Evaluation of Three-Node Tandem Communication Network Model with Feedback for First Two nodes Having Non Homogeneous Poisson Arrivals },
journal = { International Journal of Computer Applications },
issue_date = { July 2014 },
volume = { 98 },
number = { 12 },
month = { July },
year = { 2014 },
issn = { 0975-8887 },
pages = { 26-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume98/number12/17236-7564/ },
doi = { 10.5120/17236-7564 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:26:02.215047+05:30
%A G. Naga Satish
%A Ch. V. Raghavendran
%A M. V. Rama Sundari
%A P. Suresh Varma
%T Performance Evaluation of Three-Node Tandem Communication Network Model with Feedback for First Two nodes Having Non Homogeneous Poisson Arrivals
%J International Journal of Computer Applications
%@ 0975-8887
%V 98
%N 12
%P 26-36
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Tandem Queues are widely used in mathematical modeling of random processes describing the operation of Manufacturing systems , supply chains, Computer and telecommunication networks. In many of the communication systems the arrivals are time dependent and can be characterized by a non homogeneous Poisson process. In this paper we developed and analyzed three nodes connected in tandem Queue with feedback for the first and second nodes assuming that arrivals follow non homogeneous Poisson process. Using the difference-differential equations and a probability generating function of the number of packets in the buffer connected to the transmitter the System is analyzed. The System performance is analysed by deriving expressions for the performance measures of the network like mean content of the buffers, mean delays through put, transmitter utilization with mathematical illustrations. The sensitivity analysis of the model reveals that the non homogeneous Poisson arrivals and dynamic bandwidth allocation strategy can reduce burstness in buffer and improve quality of service.

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Index Terms

Computer Science
Information Sciences

Keywords

Feedback Tandem Network Non homogeneous Poisson process Performance measures

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