Traffic assignment model considering emission based on path-based solution algorithm: comparison and discussion

In this paper, we discuss a nonadditive path costs traffic assignment problem considering emission effects. Based on Venigalla's research, we put forward the traffic assignment model considering emissions at different engine operating modes. We also use two path-based algorithms, gradient projection (GP) algorithm and disaggregated simplicial decomposition (DSD) algorithm to solve the mathematic model respectively. Then, we apply the model as well as the algorithms into a real network and compare some computational characteristics of them. The results show that both GP and DSD algorithms have a rapid convergence speed than FW algorithm. The results also demonstrate that path-based algorithms can be widely used in solving large scale traffic assignment problem with nonadditive path costs.