In order to optimize the problem of carbon emissions in transportation networks, the environmental shortest path problem is addressed in a traffic network based on carbon emissions. Firstly, the suitable calculation model for carbon emissions is suitably selected. Secondly, a nonlinear constraints optimization mathematical model is established to the environmental shortest path problem through defining carbon emission as the objective function. Thirdly, a label algorithm is constructed to solve the environmental shortest path problem. Finally, numerical results in transportation network show the validity and feasibility of the proposed label algorithm. The results suggest that the environmental shortest path based on carbon emissions is significantly more difficult to solve to optimality than the shortest distance path and least travel time path problem, but offers insight on navigation of "environmental-friendly" vehicle routing.
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