Analysis of fixed-time control☆

摘要: Abstract The paper presents an analysis of the traffic dynamics in a network signalized intersections. intersections are regulated by fixed-time (FT) controls, all with same cycle length or period, T. is modeled as queuing network. Vehicles arrive from outside at entry links deterministic periodic stream, also period They take fixed time to travel along each link, and end link they join queue. There separate queue for movement phase. make turns proportions, eventually leave network, that is, fraction r ( i , j ) vehicles go [ 1 - ∑ ] storage capacity queues infinite, so there no spill back. main contribution show if signal controls accommodate demands then, starting any initial condition, state converges unique orbit. Thus, effect conditions disappears. More precisely, t vector x lengths, together position traveling links. Suppose stable, bounded. Then (1) exists trajectory ∗ T; (2) every this trajectory; (3) do not follow loops, convergence occurs finite time. determines performance entire