During any kind of traffic management involving consolidation or compression, or converging readouts or outputs, shortening of individual vehicle headway, there is a necessity that vehicles in a moving pattern must get closer together. For the particular case of taking random traffic approaching a traffic signal and consolidating traffic to go through the signal during the green phase, vehicles must be substantially consolidated at a ratio of the service cycle of the traffic signal to the “net” green during which time they all pass through the signal. This remains true for both autonomic as well as adjustable adaptable phase-changing traffic management systems. Traffic density (passing vehicle number per time) is measured before or at the beginning of traffic management. Density figures are compared under a predetermined scheduling/convergence mechanism that takes into account the densest traffic will be, or the closest vehicles will be with respect to one another. If the pre-compressed, pre-converging density is found to be lean or sparse enough for traffic management to function, outputs are allowed to continue and traffic management is allowed to remain open. If the pre-compressed, pre-converging density is found to be too dense, that is, if the densest place or duration in traffic management is too close for a safe headway or reaction time, than traffic management/outputs are suspended.