I'm attempting to create a simulation of car traffic and to model the flow, it seems like Poisson Distribution would be useful here. I'm still trying to get my head around the variables I would incorporate, but at the moment I know what I want the arrival rate at a certain point to be, the speed limit, and the minimum gap (time) between cars.
Currently, cars spawn on one end of the road after a preset amount of time and accelerate to the speed limit, checking for cars in front and slowing down if necessary so as to keep at least a the minimum gap between the two of them.
I'm not sure how to incorporate variables such as acceleration into the Poisson Distribution. Does anybody have any experience implementing something similar?