Regardless of the conclusion the paper draws, the 'mathematics' of this 'paper' are all wrong. There are some real mathematicians working on these kind of problems, and the authors should really examine what's out there.

For instance (from page one of their 'paper'), what does it mean for the probability of the bus arriving at time t to be p(t)? Unless you have only a finite number of places where p(t) is nonzero, then this makes no sense (and since they are later integrating p(t), they are assuming the opposite).

Think of it this way: what is the probability that the bus arrives at time t = pi, at EXACTLY t = pi? Of course, it is 0. That is why people use things called distributions: One must integrate a function over a PERIOD of time to get a probability that the event will occur in that interval.

This is Stat/Probability 101. When such an error occurs in the first few lines of such a 'paper', the rest must be rubbish (and indeed is).