输油管的优化铺设模型

The Optimized Model of the Pipeline Layout

研究了在不同情况下铺设输油管道的费用问题。在非共用与共用管道耗费相同时,把三角形两边之和大于第三边的原理与函数方程相结合,用函数最小值的思想分类讨论求出线路最短时的最小费用;在非共用与共用管道耗费不同时,利用费马点与势能最小原理找出最合理的车站位置和最节约的耗费。

This thesis mainly studies the cost problem of laying out pipelines in different situations.When non-sharing and sharing pipeline cost the same,we combine the principle that the Total Length of Both Sides of a Triangle is Greater Than the Third Side with function equation,using the minimum value thought classification for the shortest route with minimum cost.When non-sharing and sharing pipeline have different cost,we make use of Fermat＇s Principle Point and the potential energy minimum to figure out the most reasonable location and the least energy-cost plan.