Ramping up the speed
Funny, the first thing I thought of was people slowing down so that they would arrive after the light turns green, not the other way around! Even if they were to speed up for one light, they would likely level out to a slightly under-the-limit speed in order to continue through greens.
The biggest problem, I think, is that this works best if there's no other traffic. Better would be a universal system to manage routes so that no route gets too congested.