Multi-objective optimization for double stack train loading problem

To improve safety measures of loading containers on double-stack train and ensure its normal operation, this paper develops a multi-objective optimization model that focuses on a number of practical requirements including the center-of-gravity height of a loaded car and load balance considerations. A lexicographic goal programming approach is used to address different priorities for potentially conflicting objectives and constraints. To minimize the center-of-gravity height, a linear-fractional programming technique is adopted to transform the corresponding generalized mixed integer fractional problem into a sequence of mixed integer linear sub problems. The computational results of the experimental cases indicate that the proposed multi-objective optimization method can maximize the number of the TEUs loaded on the double stack train, and meanwhile lower the center-of-gravity height of the loaded cars and their weight differences, and performs superior application value.