Totally Asymmetric Simple Exclusion Process under Exit Control Feedback Policy

The effect of the exit control feedback policy on traffic flow was investigated in this paper.Here,the exit rate(β)can be defined as a function of the hopping rate(p),the current(J)and the bulk density(ρ_(bulk)),which can be rewritten as β=p-J/ρ_(bulk).A model based on normal totally asymmetric simple exclusion process(TASEP)has been analyzed by mean field approach.It is found that a phase transformation point exists in the phase diagram,which is determined by p.In addition,the traffic flow of the system achieves maximum current when the exit rate maintains itself atβ=p/2 for all other phases except the low density(LD)phase.The result implies that we can use the control feedback policy to make the traffic flow reach the maximum value when the traffic system is in the traffic jam status.