A Multi-objective Mathematical Model for Problems Optimization in Multi-modal Transportation Network

In order to reach a sustainable planning in a rather complicated transport system, it is of high interest to use methods included in Operations Research areas. This study has been conducted to solve the transportation network planning problems, in accordance with the optimization problem and multi-objective transport network in multi-modal transportation. Firstly, we improve the implementation of the existing literature model proposed in (Cai, Zhang, and Shao, 2010; Zhang and Peng, 2009) because after the conducted experimentation, we show that there are two previously proposed constraints that make the solution unrealizable for the transportation problem solving. Secondly, we develop the proposed multi-objective programming model with linear constraints. Computational experiments are conducted to test the effectiveness of the proposed model. The mathematical formulation is developed to contribute to success solving the optimization problem, taking into account important aspects of the real system which were not included in previous proposals in the literature, and review. Thus, it gives ample new research directions for future studies.