Analytical receiver collisions performance modeling of a multi-channel network

In this paper, an accurate analytical performance study of a multi-channel network is derived, based on the probability theory. Especially, we mathematically model the performance of a multi-channel network, such as a wireless or an optical WDM network, assuming both the collisions over the multiple channels and the destination conflicts. The receiver collisions phenomenon is extensively studied, while a general analytical formula is derived that provides the probability of the rejection events at destination, depending on the buffer capacity of the station receiver. The performance measures of throughput and delay are provided based on a Markovian model analysis for finite population. Numerical results are studied for diverse numbers of receivers per station.