Interactive fuzzy goal programming approach for optimization of extended hub-and-spoke regional port transportation networks

Based on interactive fuzzy goal programming, a model is introduced for extended hub-and-spoke regional port transportation network optimization problem where one of the objective functions is considered as a non-linear function. The proposed model considers the imprecise nature of the input data and assumes that each objective function has a fuzzy goal, and aims at jointly minimizing the total costs including the sailing cost and handling cost as well as the total transit times consisting of sailing time and handling time. Meanwhile it optimizes the following factors: transportation quantities via a hub port from an original port to a destination port, transportation quantities directly from an original port to a destination port. The solution procedure to the proposed model is then presented. At last, a numerical example is given to demonstrate the effectiveness of the proposed model and evaluate the performance of the solution procedure.