Traffic jams - Colegiul National Emil Racovita (Cluj - Roumanie)

Our goal is to study the traffic flow and find out a general formula that expresses in how many steps the traffic will become fluid. We consider a traffic fluid when every single car can move forward.
Traffic jams are a real problem in today’s world. Not only because of the time lost by every single person in a traffic jam but because every car is polluting the atmosphere. We approached this problem differently and we tried to use an algorithmic approach. This approach will produce a result based on the number of cars in each case. We started from more particular cases and, finally, by using mathematical induction, we believe we reached some formulas.