Monotonic Approach for Optimal Route Length of Bus Service Zoom Model

In this paper, we derive two new iterative algorithms to simplify the complicated alternative sequence approach of Yang et al. (2013). The purpose of this paper is threefold. First, we prove our approach generates monotonic and convergent sequences. Second, based on the same numerical example, we demonstrate that our monotonic sequence will converge faster than that of Yang et al. (2013). Third, we provide a reasonable explanation to the inconsistent results derived by our increasing sequence and decreasing sequence, with different starting point. Our findings will help researcher in the future construct faster iterative method to locate the optimal solution for traffic model.