摘要
提出了应用动态规划法实现变坡点位置和设计标高同时达到最优的铁路纵断面设计优化的新模型。在本模型中 ,引入了基于B样条函数的铁路纵断面设计优化模型 ,并将从该模型得到的纵断面设计线作为本模型的出发解 ,大大降低了状态变量的维数 ,从而大大缩短了求解的计算时间。经实例试算 ,表明所建模型是正确的、可行的和高效的。
This paper aims to develop a new optimization model for railway profile design based on Dynamic Programming. The new model is based on the Optimization Model for Railway Profile Design using B-spline functions. In the new model, the treatment of the formulation of optimization and the constraints were simplifed by using Dynamic Programming. The intersection points of vertical tangents and the design altitude of the railway profile can be simultaneously and efficiently optimized by the new model. The proposed model is verified by data of practical lines.