Call for Paper - May 2023 Edition
IJCA solicits original research papers for the May 2023 Edition. Last date of manuscript submission is April 20, 2023. Read More

Stochastic Control and Analysis of Two-node Tandem Communication Network Model with DBA and Binomial Bulk Arrivals with Phase Type Transmission

International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 87 - Number 10
Year of Publication: 2014
K. Srinivas Rao
Nakka. Thirupathi Rao
Kuda. Nageswara Rao
P. Srinivasa Rao

Srinivas K Rao, Nakka. Thirupathi Rao, Kuda. Nageswara Rao and Srinivasa P Rao. Article: Stochastic Control and Analysis of Two-node Tandem Communication Network Model with DBA and Binomial Bulk Arrivals with Phase Type Transmission. International Journal of Computer Applications 87(10):33-47, February 2014. Full text available. BibTeX

	author = {K. Srinivas Rao and Nakka. Thirupathi Rao and Kuda. Nageswara Rao and P. Srinivasa Rao},
	title = {Article: Stochastic Control and Analysis of Two-node Tandem Communication Network Model with DBA and Binomial Bulk Arrivals with Phase Type Transmission},
	journal = {International Journal of Computer Applications},
	year = {2014},
	volume = {87},
	number = {10},
	pages = {33-47},
	month = {February},
	note = {Full text available}


Communication Systems are governed by several random factors. In packetized communication systems, the system performance is controlled by arrival pattern and Transmission strategy. In this paper, we introduced and analyse a two node communication network with the assumption that the arrivals are characterized by compound binomial Poisson process. Here, it is further assumed that the Dynamic bandwidth Allocation strategy of transmission is adopted and the two nodes are connected in tandem with phase type transmission in each node. The system performance is analysed by deriving the explicit expressions for the performance measures and numerical illustrations. It is observed that the bulk arrival distribution parameters and Dynamic Bandwidth Allocation Strategy can reduce the delays in transmission and burstness of buffers. With suitable cost considerations the optimal operating policies of the network are also discussed. This network can approximate the performance parameters of the system more close to the reality at places like LAN, WAN, MAN and ATM scheduling.


  • Baccelli, F. and Massey, W. A. (1988), A transient analysis of the two node Jackson network, Research Report, RR 0852.
  • Bardeen and Brattain, IEEE Communications Society (2002).
  • Feldmann A, (2000), Characteristics of TCP connection arrivals, Chapter15, self-similar network traffic and performance evaluation, edited by K. Park, W. Willinger, John Wiley & Sons Inc.
  • Gaujal, B. and Hyon, E. (2002), Optimal routing policies in deterministic queues in tandem, Proceedings of Sixth International Workshop on Discrete Event Systems (WODES'02),pp. 251-257.
  • G. Padmavathi, K. Srinivasa Rao And K. V. V. S. Reddy- (2009), Performance Evaluation of Parallel and Series Communication Network with dynamic bandwidth allocation, CIITInternational journal of Networking and Communication Engineering. Vol. 1,No7, pp. 410-421.
  • 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.
  • K. Nageswara Rao, K. Srinivasa Rao, P. Srinivasa Rao – (2010), A tandem Communication network with DBA and modified phase type Transmission having bulk arrivals in International journal of Computer Science issues, Vol7, No3. pp18-26
  • Kuda Nageswarara Rao, K. Srinivasa Rao and P. Srinivasa Rao-(2011)- Transient Analysis of a Tandem Communication network with dynamic bandwidth allocation having two stage direct bulk arrivals, International Journal of Computer Applications, Vol. 13, No. 7 , pp. 14-22.
  • K. Srinivasa Rao, P. Suresh Varma and Y. Srinivas – (2008), Interdependent Queuing Model with start-up delay, Journal of Statistical Theory and Applications, Vol. 7, No. 2 pp. 219-228.
  • Moshe Sidi (1987), Tandem packet radio queuing system, IEEE Transactions on Communications, Vol. COM-35, No. 2.
  • Murali Krishna P, Gadre V M, Desai U B (2003), Multi fractal based network traffic modelling, Kluwer Academic publishers, ISBN. 1-4020-7566-9.
  • Parthasarathy, P. R. and Selvraju, N. (2001), Transient analysis of a Queue where potential customers are discouraged by Queue length. Mathematical Problems in Discrete distribution and process to model self-similar traffic, 9th IEEE international conference on Telecommunication- CONTEL2007, Zagred b Croatia, pp. 167-171 Engineering,Vol. 7, pp. 433-454.
  • P. Suresh Varma and K. Srinivasa Rao (2007), A Communication network with load dependent transmission, International Journal of Mathematical Sciences, Vol. 6, No. 2, pp. 199-210.
  • Srinivasa Rao K, Vasanta, M. R. , and Vijaya Kumar, C. V. R. S. ,(2000), on an interdependent Communication Network, OpsearchVol. 37, No. 2, pp134-143.
  • Sriram, K. (1993), Methodologies for bandwidth allocation, transmission scheduling and congestion avoidance in broadband ATM networks, Computer Network, ISDN System, J. 26, pp:43-59.
  • Stanislav Angelov, Sanjeev Khanna and Keshav Kunal (2009), The network as a storage device: Dynamic routing with bounded buffers, Algorithmica, Vol. 55, No. 1, pp 71-94.