Thursday 28th of March 2024
 

A Three Stage Communication Network Model with Homogeneous Bulk Arrivals and Dynamic Bandwidth Allocation


G. Rajendra Kumar, Kuda Nageswara Rao and K. Srinivasa Rao

Recently the growth of packet switched networks lead to new traffic problems. To solve these problems, the differentiated service models have been considered as a scalable traffic management mechanism to ensure guaranteed quality of service. In this paper, a three stage/node communication network model with homogeneous bulk arrivals and dynamic bandwidth is developed and analyzed. The data packets after getting transmitted from the first node are forwarded to the second buffer connected to the second node and the packets leaving the second node are forwarded to the third node. Dynamic Bandwidth Allocation (DBA) is the strategy that the transmission rate at each node is adjusted depending upon the content of the buffer at every packet transmission. It is assumed that the arrival of packets follow compound Poisson processes and the transmission completions at each node follow Poisson processes. This model is more accurately fit into the realistic situation of the communication network having a predecessor and successor nodes for the middle node. Using the difference – differential equations, the joint probability generating function of the number of packets in each buffer is derived. The performance measures like, the probability of emptiness of the three buffers, the mean content in each buffer, mean delays in buffers, throughput etc. are derived explicitly under transient conditions. This network model is much useful in communication systems like, Telecommunications, Wireless communications, the Internet, ATM networks etc.

Keywords: Three stage communication networks, Dynamic bandwidth allocation, Bulk arrivals, and Performance measures

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ABOUT THE AUTHORS

G. Rajendra Kumar
Mr. G. Rajendra Kumar is presently pursuing Ph.D., in the Department of Computer Science and Systems Engineering, Andhra University, Visakhapatnam. He completed M.Tech degree in Computer Science and Engineering from Acharya Nagarjuna University. His current research interests are Communication networks, Cognitive Science and Network Security.

Kuda Nageswara Rao
Dr. Kuda. Nageswara Rao is presently working as Professor in the Department of Computer Science and Systems Engineering, Andhra University, Visakhapatnam. He presented several research papers in national and International conferences and seminars. He published a good number of papers in national and International journals. He guided several students for getting their M.Tech., and Ph.D., degrees in Computer Science and Engineering. His current research interests are Communication networks, Internet Technologies and Network security.

K. Srinivasa Rao
Dr. K. Srinivasa Rao is presently working as Professor and Head, Department of Statistics, Andhra University, Visakhapatnam. He is elected chief editor of Journal of ISPS and elected Vice-President of Operation Research of India. He guided 22 students for Ph.D., in Statistics, Computer Science, Electronics and Communications and Operations Research. He published 75 research papers in national and International journals with high reputation. His research interests are Communication Systems, Data Mining and Stochastic models.


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