摘要
介绍了一种基于乘子法的既有线改建纵断面优化设计方法。阐述了以起落道量平方和作为目标函数，以样条函数插值求变坡点的原理和方法。实例验算的结果令人满意。
This paper presents a method of optimization design in railway prolile recon-struction based on the“Lagrange Mulitiplier Methods”,In the paper a mathematical modelfor railway profile optimization design taking the sum of squares of lifting and cutting amountas the objective function is given,and an algorithm of spline functions to find out the grade-changed print on the profile is also given. According to this algorithm,we have completed acomputer program with which we have calculated a piece of practical railway profile in recon-struction. The result is rather satisfactory.
关键词
线路改迁纵断面
优化设计
铁路
track remodelling,longitudinal section,optimization design,Lagrange mul-tiplier methods
