Price based bifurcation control for finite buffered slotted ALOHA protocol with finite users

This paper studies the nonlinear instability and bifurcation in a slotted ALOHA system with finite users with finite user buffer capacity. Also effects of a price based control on eliminating the bifurcation phenomenon for the system is studied. It will be shown that the price based bifurcation control stabilizes the system by eliminating the bifurcation of the equilibrium points which occurs in the original system. The performance analysis of the system with price based bifurcation control is based on a well known approach called user tagged analysis. In this approach it is assumed that the channel is symmetric and therefore, behavior of all terminals is the same and hence the behavior of an arbitrarily chosen terminal is studied at equilibrium.