Performance Evaluation of Two-Node Tandem Communication Network with DBA having Compound Poisson Binomial Bulk Arrivals

Abstract

Communication Network is an important consideration for optimal utilization of resources. Several communication networks are studied through descriptive modelling dealing with characterizing the performance of the network. However, for optimal utilization of resources such as bandwidth, transmitters, routers, etc., the perspective modelling and analysis of communication networks is needed. In this paper, the optimal operating policies of a two-transmitter communication network are developed and analysed. Here, the arrivals of the network are characterized by compound binomial Poisson process and transmission of both the transmitters is characterized by Poisson process. The dynamic bandwidth allocation policy for transmission is considered. With suitable cost considerations, the expected total revenue function is derived and maximized with respect to the mean arrival rate, mean transmission rates. The sensitivity of the optimal policies with respect to the cost and input parameters is also studied through numerical illustrations. It is observed that the optimal policies are highly influenced by the input parameters and costs. This model is useful for scheduling the Internet, ATM, LAN, and WAN in several places.

Keywords: Optimal policy of a network, Dynamic Bandwidth Allocation, Compound Poisson process, two-node tandem communication network.