For a methodological approach you may interessted in your paper 'Passenger Flow-Oriented Train Disposition'. We need to simulate/generate passenger flows for validating the disposition algorithm.
Conference Paper Passenger Flow-Oriented Train Disposition
In my opinion, there are 2 types of Uncertainty in transportation studies: user (passenger) Uncertainty and analist Uncertainty. Accordingly, the methodological approaches could be different: the Possibility Theory for the former and the Probabilty Theory for the latter.
I've dealt with the Possibility Theory, and I'm attaching a paper of mine about this approach. Let me know whether it is interesting fo ryou, I can provide other papers. Greetings