First I have implemented my ARIMA model which is a mathematical model in the programming language called Java. Then I went on to explore more on some of the standard mathematical tools like Mathematica, Statistica, Gretl, R and DataPlot. Since I did not have enough time to learn all of their procedures I have to find some easy way which forced me to assume the constants of the equation. I still do not know if my method is correct or not. But then my guide said if something is to be experimentally proved then it can be considered. So I tabulated all possible values and got it done.
As mentioned in the previous posts a traffic model is a computer program that generates traffic like the one in real time. This can be used to test various different protocols that are being designed and implemented. It can also be used where a new network in being designed and we have to check how far the network is capable of handling the real time traffic that are expected when the network is going to be actually functional. From the traffic model proposed earlier and which was implemented in NS2 we can arrive at various design ideas like increasing the height of antenna or radius of node.
You must produce a trace file with two columns. One with the packet inter arrival time and the other column with the packet size in bytes. Packet inter arrival time is the time difference between the arrivals of two successive packets. After we develop that file we must change it into binary format so that it can be integrated with the ns2 simulator. Details on how to change it into binary file can be found in the internet. We must use the Traffic trace class of ns2 to enable trace driven approach. Then we must provide the name of the file that we need to integrate. Once this is done the simulator operates with our own traffic. Results can then be analysed from the trace file.
As discussed before ARIMA model is a linear time series model that can be used in predictions and forecasting of traffic values in a network. A variant of this simple ARIMA model is the seasonal ARIMA model where we inherit the idea of correlation between the trend in the history and the current trend in hand. By doing so one of the major characteristics of the network, long range dependence is being characterized. The character short range dependence is already taken care of by the simple linear ARIMA model. The proper definition of these two terms can be observed as follows. Short range dependence can be stated as the correlation between two successive samples decreases as the time increases. Similarly the long range dependence can be defined as the correlation between the successive samples increases as the time increases. So coming back to seasonal ARIMA concept we are able to characterize both of them in one single equation. For example say we are currently in the process of characterizing at the 100th second. Now we know the recent trend in the series and we got to look for similar trends in the past values. If we happen to find one that suits or at least similar to it then we can correlate the series from there.