中文摘要：

为了提高双层集装箱列车的装载效率,保障双层集装箱列车的运行安全,建立了一种降低重车重心高和均衡车辆转向架负重差的双层集装箱列车装载问题多目标优化模型,并采用字典序规划法对多目标优化问题进行求解,即为存在矛盾的优化目标与约束条件设置不同的优先级.为了优化重车重心高,采用线性分式规划将相应的混合整数分式问题转化为一系列混合整数线性规划子问题进行求解.算例验证结果表明,研究所提出的多目标优化方法能够在保证列车集装箱装载量最大的条件下降低集装箱车的重车重心高,并减少其转向架负重差,具有重要的应用价值.

英文摘要：

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.