The week's pick
Random Articles
Reseach Article
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 |
| 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
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.
References
- S. Balsamo, V. D. N. Persone, P. Inverardi, A review on queueing network models with finite capacity queues for software architectures performance prediction, Perform. Eval. 51 (2003) 269–288.
- A. Gomez-Corral, Sojourn times in a two-stage queueing network with blocking, Naval Res. Logist. 51 (2004) 1068–1089.
- Avi-Itzhak, B. , Yadin, M. A sequence of two serverswith no intermediate queue. Management Sci. 11,(1965) 553-564.
- Tang, J. and Zhao, Y. Q. "Stationary tail asymptotic of a tandem queue with feedback", Annals of Operation Research, Vol. 160, pp. 173–189, 2008
- R. D. van der Mei, B. M. M. Gijsen, N. in't Veld, J. L. van der Berg, Response times in a two-node queueing network with feedback, Performance Evaluation 49 (2002) 99–110.
- Kleinrock L. , (1976), Queuing system, vol. II, Computer Applications, wiley publications, Newyork.
- Suresh Varma P. , K. Srinivas Rao (2007), A Communication Network with load dependent Transmission, International Journal of Mathematical Sciences, vol. 6, no. 2, pp 199-210.
- Kin K Leung (2002), Load dependent service queues with application to congestion control in broadband Networks, performance evaluation, vol. 50, issue 1-4, pp. 27-40.
- Sriram K. (1993), Methodologies for bandwidth allocation, transmission scheduling and congestion control avoidance in broadband ATM Networks, computer Network , ISDN system, j. 26, pp. 43-59
- M. V. Rama Sundari, K. Srinivasa Rao, P. Srinivasa Rao, P. Suresh Varma, On Tandem Communication Network Model with DBA having NHP Arrivals for First Node and Poisson process arrivals for Second Node in International Journal of Computer Science (136 – 144) Volume 8 – No. 2, September 2011.
- M. V. Rama Sundari, K. Srinivasa Rao, P. Srinivasa Rao, P. Suresh Varma, Three Node Tandem Communication Network Model with Dynamic Bandwidth Allocation and Non Homogeneous Poisson Arrivals in International Journal of Computer Applications (0975 – 8887) Volume 31– No. 1, October 2011.
Index Terms
Keywords