Abstract
These Multiple access system (MAS) deals with a situation where multiple nodes (computers) are required to access commonly shared channel. These multiple users can be viewed as uncoordinated users or computers which compete to transmit messages in the form of packets or frames. It can be shown that the MAS is unstable due to nonlinearity of the problem in the form of contention of several nodes competing for the same channel. There are some well known algorithm to stabilize the throughput of slotted ALOHA i.e bayesian broadcast algorithm, splitting algorithm, modified stochastic gradient algorithm. In this paper, we have analyzed the number of backlogged packets by using statistical approach and stabilize the expected number of backlogged packets minus mean number of packets which are successfully transmitted. Index Terms—Slotted ALOHA, throughput, backlogged packets, probabilistic distribution, diffusion approximation.
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