CFP last date
20 May 2024
Reseach Article

Transient Analysis of Communication Network Model with Homogeneous Poisson arrivals and Dynamic Bandwidth Allocation

by Ch. V. Raghavendran, G. Naga Satish, M. V. Rama Sundari, P. Suresh Varma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 98 - Number 3
Year of Publication: 2014
Authors: Ch. V. Raghavendran, G. Naga Satish, M. V. Rama Sundari, P. Suresh Varma
10.5120/17165-7226

Ch. V. Raghavendran, G. Naga Satish, M. V. Rama Sundari, P. Suresh Varma . Transient Analysis of Communication Network Model with Homogeneous Poisson arrivals and Dynamic Bandwidth Allocation. International Journal of Computer Applications. 98, 3 ( July 2014), 33-39. DOI=10.5120/17165-7226

@article{ 10.5120/17165-7226,
author = { Ch. V. Raghavendran, G. Naga Satish, M. V. Rama Sundari, P. Suresh Varma },
title = { Transient Analysis of Communication Network Model with Homogeneous Poisson arrivals and Dynamic Bandwidth Allocation },
journal = { International Journal of Computer Applications },
issue_date = { July 2014 },
volume = { 98 },
number = { 3 },
month = { July },
year = { 2014 },
issn = { 0975-8887 },
pages = { 33-39 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume98/number3/17165-7226/ },
doi = { 10.5120/17165-7226 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:25:16.530258+05:30
%A Ch. V. Raghavendran
%A G. Naga Satish
%A M. V. Rama Sundari
%A P. Suresh Varma
%T Transient Analysis of Communication Network Model with Homogeneous Poisson arrivals and Dynamic Bandwidth Allocation
%J International Journal of Computer Applications
%@ 0975-8887
%V 98
%N 3
%P 33-39
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Queuing models play a dominant role in many communication systems for optimum utilization of the resources. In this paper, we develop and analyze a two node tandem communication network model with feedback for the first node, with an assumption that the arrivals follow homogeneous Poisson process. In this model, the service rates of each transmitter depends on the number of services in the buffer connected it. The model is analyzed using the difference-differential equations and a probability generating function of the number of packets in the buffer. Expressions are derived for performance measures including average number of packets in each buffer, the probability of emptiness of the network, the mean delay in the buffer and in the network, the throughput of the transmitters, and the variance of the number of packets in the buffer.

References
  1. D. Ferrari. G. Serazzi. and A. Zeigner, Measurement and Turning of Computer Systems.
  2. E. Gelenbe and I. Mitrani, Analysis and Synthesis of Computer System Models. London: Academic, 1980.
  3. C. H. Sauer and K. M. Chandy, Computer Systems Performance Modeling. Englewood Cliffs, NJ Prentice-Hall, 1981.
  4. Gaujal, B. and Hyon, E. , Optimal routing policies in deterministic queues in tandem, Proceedings of Sixth International Workshop on Discrete Event Systems (WODES'02),pp 251-257, 2002.
  5. Parthasarathy, P. R. and Selvraju, N. , Transient analysis of a Queue where potential customers are discouraged by Queue length. Mathematical Problems in Engineering, Vol. 7, pp. 433-454, 2001
  6. Kleinrock L. , Queuing system, vol. II, Computer Applications, wiley publications, Newyork, 1976.
  7. Yukuo Hayashida, Throughput analysis of tandem type go-back NARQ scheme for satellite communications, IEEE Transactions on communication, Vol. 41, pp 1517-1524, 1993.
  8. Sriram K. , Methodologies for bandwidth allocation, transmission scheduling and congestion control avoidance in broadband ATM Networks, computer Network , ISDN system, j. 26, pp. 43-59, 1993.
  9. P. Suresh Varma and K. Srinivasa Rao, A Communication network with load dependent transmission, International Journal of Mathematical Sciences, Vol. 6, No. 2, pp 199-210, 2007.
  10. Nageswara Rao K. , K. Srinivas Rao, P Srinivasa Rao, A tandem communication Network with Dynamic Bandwidth Allocation and modified phase type transmission having Bulk arrivals, International Journal of Computer science Issues, Vol. 7, No. 3, pp 18-26, 2010.
  11. Padmavathi G. , K. Srinivas Rao, KVVS Reddy, Performance Evaluation of parallel and series communication Network with Dynamic Bandwidth Allocation, CIIT International Journal of Networking and communication Engineering Vol. 1, No. 7, pp 410-421, 2009.
  12. Nageswara Rao K. , K. Srinivas Rao, P Srinivasa Rao, Transient Analysis of a Tandem Communication Network with Dynamic Bandwidth Allocation having Two Stage Direct Bulk Arrivals, International Journal of Computer Applications (0975 – 8887) Vol. 13, No. 7, January 2011.
Index Terms

Computer Science
Information Sciences

Keywords

Tandem Communication Network Dynamic Bandwidth Allocation Performance Evaluation Homogeneous Poisson process