An Approach for Area Estimation towards Conjunction Control of Internet Traffic Sharing by Using Simpson 1/3 Rule

In present scenario of research, network congestion is one of the most interesting area. Congestion in internet is a long-standing problem and in modern days internet service providers use congestion control and congestion avoidance techniques to avoid congestion collapse. Internet congestion appears when a large volume of data is being routed on low bandwidth lines or across networks that have high latency and cannot handle large volumes. Due to such heavy load on network, disconnectivity appears and internet traffic share of operators fluctuate. Naldi (2002) explored a model based on Internet Traffic Share problem between comparative operators mode. The basic idea of Naldi (2002) was extended by Thakur and Shukla (2010) in which disconnectivity factor was introduced and mathematical relationship of traffic share and network blocking probability with special reference for disconnectivity factor was examined. This relationship originates probability based quadratic function which has a definite bounded area. This area contains many network parameters and to assess various properties of internet traffic it is necessary to estimate. The aim of this paper is to develop an appropriate approach for estimation of such kind of bounded area by using Simpson 1/3 rule usually applied in numerical quadrature. It is found that probability of disconnectivity (i.e. S1 and S2) is directly proportional to bounded area. This study is an attempt to establish the relationship among internet traffic share status and network disconnectivity parameters. Graphical study is also performed to support for numerical facts. Keywords— Area Estimation, Simpson 1/3 Rule, Disconnectivity, Blocking Probability.