Traffic jam game algorithm?

[pier4r]

[partially related]

Sometimes when I bike I think would be nice to have a sort of "maze" game (even without much graphics) where the players should pick the path that allow a speed (not necessarily linear, but neither with wild fluctuations, given a max speed) right enough to have all the semaphores "green" in a row. Given that the path has a start and an end.

This while simulating traffic and semaphores.

Because on the bike either I have the traffic that prevents me to reach the semaphore when it is still green, or my speed is insufficient (too fast or too slow) to reach the semaphore when it is green and I must stop.