Optimization of k-fold multicast wireless network using M/M/n/n+q traffic model

An analytical model has been developed to determine the suitable value of the fold k of a k-fold multicast network with different traffic loads under Poisson traffic with finite queue. We have derived stationary probability distribution for the network states and then derived expressions for the throughput, blocking probability and the probability of delayed service of the network. It has been found in this study that the network throughput increases very fast as we increase the fold number. However, beyond a threshold or optimum value of k the throughput profile becomes flat. It has also been found that as the system parameter k is increased, the blocking probability decreases rapidly, but after the optimum value of k, found in the throughput variation, the blocking probability remains constant.