Improved Solution Approach for Bus Model with Stops Generalization

We study the analytical traffic model to provide a better approximated solution for headway. Our work is an extension of two published papers for fixed-route bus with not all stops being made and random arrival waiting time. The purpose of this paper is threefold. First, we provide a new formulated approximation for headway. Second, numerical examples are used to point out that our new formulated approximation is more accurate than two published papers. Third, we show that the optimum headway is not a decreasing function of the average extra time required to decelerate and accelerate for a patron stop. Hence, a previous theorem needs a modification, and then we derive an improvement. The same numerical examples from two published papers are examined to support our findings.