输油管布置的优化模型

Optimization Model of Pipeline Arranges

研究了如何布置输油管,使得建立管线费用最省的问题。以管线建设费用最少为目标函数,针对两炼油厂到铁路线的距离和两炼油厂间距离的各种不同情形进行设计方案。考虑了共用管线与非共用管线每千米建设费用不相同的情形。将实际问题转化为在坐标系上找一点使得该点到两厂的距离及其纵坐标之和达到最小,利用费马定理、极值定理,取得公用管道交接点,从而使管道最短,费用最小,进而确定车站建立的位置,并求出输油管布置的最低费用。

How to put the oil pipe line to save more money have been talked.Setting the least construction cost as the objective function,several different plans are have designed,such as the situation concerning distance between two oil refineries;or concerning the distance between two oil refineries and the railway lines.Also the situation about the different construction cost of each kilometer of the shared pipeline or not sharing pipeline is taken into consider.By doing so,the real question into a math problem—find a point in the coordinate system to let the distance is transformed between it and the coordinate system as well as the two refineries to a minimum.Using the Fermat theorem,the extreme value theorem to find the shared pipeline intersection,thus get the shortest pipeline and the least cost.In the end,the most appropriate construction place of the station be can got.