Decision making analysis under weight uncertainty for transportation network design problem

Transportation network design problem (TNDP) is required to be solved as multiobjective optimization problem since there is a need to consider the efficiency, environment, and social implication for various stakeholders. For multi-objective optimization problem, a common solution methodology is to determine a non-dominated solution set. However, it is not easy that the decision-maker selects the most dominant alternative for implication because of tradeoffs amongst the non-dominant solutions. With regard to the decision making analysis, the deterministic method of the utility function or objective weight is used in TNDP. However, the subjectivity of the deterministic assignment of objective weight provides no good information about objective weight impact on the rankings of the alternatives and the robustness amongst alternatives. In this paper, the decision making analysis under weight uncertainty is proposed and Sioux Falls network is analyzed to illustrate the numerical example. In order to solve TNDP for capacity enhancement, three objectives, such as total travel time for efficiency, O-D travel time ratio for equity, and emission cost for environment, are used in this paper.