摘要
结合平原地区铁路建设的特点,对铁路用地的优化方法进行了较深入的探讨,引入了地块的“广义价值”的概念,确定了铁路用地优化的数学模型和算法.优化的实质是要确定一条平面曲线使行经地块的广义价值与线路的费用(工程费和运营费)之和为最少,这是一个典型的变分问题.通过研究古典变分法与动态规划法的联系,将其转化为适于动态规划法求解.优化方法采用Turbo-Basic语言实现,数据可采用数字化仪输入,简化了输入过程,提高了实用程度,并列举了实例,以检验其算法及程序的正确性和有效性.
The land-using optimization of railroad construction is to determine a plane curve which minimize the sum of the cost of the construction and the value of the occuoied land. In this paper, we employ dynamic programming intead of variation method to solve this problem, the concept of general value of land is introduced, and a mathematical model and its algorithm of the optimization are presented. The method is implemented by Turbo-Basic. And for simplicity and practicability, data are input by means of digitizer. Examples demonstrate the correctness and effectness of the algorithm and its program.
出处
《北方交通大学学报》
CSCD
北大核心
1992年第2期23-30,共8页
Journal of Northern Jiaotong University
关键词
广义价值
土地利用
综合优化
铁路
generalized value
land-using
comprehensive optimization
