图上作业法是我国对线性规划这门学料的一个重大贡献,它的巨大优点在于掌握容易,操作简便;因而深受实际工作者的欢迎,正开始广泛地用起来为社会主义建设服务.但是这个方法原来的形式有着一定的局限性,它只能求出吨公里数最小的调运方案,当运价与里程不一定成比例时,要找运费最小的调运方案,图上作业法便不适用,而只有用较麻烦的表上作业法了.科学院数学研究所编“线性规划的理论及应用”一书第四章§1指出如何由图上作业法给出一个较好的初始调运方案,再用表上作业法求出最优方案,在那里仍是以图上作业法为辅,表上作业法为主来进行解决问题的.这篇文章的目的便在于发展“图上作业法”的方法,使它适用于运价与里程不成比例时的情况,甚至同一条路上不同方向的有不同的运价(如水上运输)时,也能适用.因此在物资调配,运输等实际问题中,图上作业法 The job law on the map is a significant contribution to the linear programming in our country. Its great merits are that it is easy to grasp and easy to operate. It is therefore welcomed by the practical workers and is beginning to be widely used to serve the socialist construction. However, the original form of this method has some limitations. It can only find the transportation plan with the smallest ton-km. When the freight rate and mileage are not necessarily in proportion, it is not applicable to the transport plan with the lowest freight cost , But only with the more troublesome method of the table on the operation of the Institute of Mathematics, “Linear Theory and Applications,” the book Chapter IV § 1 pointed out how the figure on the operation method gives a better initial shipment plan, And then use the table method of operation to find the best solution, where the work is still based on the chart, supplemented by the table on the homework method to solve the problem.The purpose of this article is to develop the “operation on the map” , Which makes it suitable for situations where freight rates are out of proportion with mileage or even when different tariffs (eg, water transport) in different directions on the same route are applied. Therefore, in actual problems of material distribution and transportation, , The law on the map