A Bi-Objective Programming Model for Multimodal Transportation Routing Problem of Bulk Cargo Transportation

In this paper, we propose a bi-objective programming model to select the optimal route for moving a consignment of goods between the anchorage area at the Gulf of Thailand to factories throughout Thailand using a multimodal transportation network and joint consideration of transportation mode selection. The bi-objective programming model is constructed with features based on two objective functions - minimizing transportation costs and minimizing CO₂ emissions, subject to transportation jobs that should be completed before their respective due dates. The solutions are obtained by the ε-constraint method, after which a Pareto frontier will be plotted. The decision makers can make a decision tradeoff between the two objectives from that plot.