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(一) 物资調运問題如何使之合理化,在国民經济中是一項具有重大意义的工作。在一般綫性規划书中,所介紹的方法不論是图上作业法或表上作业法,当收发站的个数很多时,计算往往是很烦杂的,要用去不少时间。这里听介紹的一种方法,比較简单合用,所依据的原理是初等代数学上解方程组的方法,容易为初学者所理解。即使收发站很多时,在实际計算中,比较其他方法能迅速地得到合理的調运方案。首先介紹一个简单的例子。假設某种产品由三个城市生产,要把它們分別运到四个销地銷售。如果产地的产量依次是23吨、27吨、50吨,而销地的銷售量依次是12吨、23吨、30吨、35吨(产銷平衡)。假定从第i个城市运往第j个销地数量为,xij吨,那么就有等式
(1) How to rationalize the issue of material transfer is a significant task in the national economy. In the general linear programming book, the method described is either a graph operation method or a table operation method. When the number of transceiver stations is large, the calculation is often very complicated and takes a lot of time. The method introduced here is relatively simple to use, based on the principle of initial algebra to solve equations, which is easy for beginners to understand. Even in the case of a large number of receiving and dispatching stations, in actual calculations, comparisons with other methods can promptly obtain a reasonable dispatching plan. First introduce a simple example. Suppose a product is produced in three cities, and they are to be sold separately to four sales. If the origin of production is 23 tons, 27 tons, 50 tons in turn, and the sales volume of sales land is 12 tons, 23 tons, 30 tons, 35 tons (balance of production and sales). Assuming that the number of shipments from the i-th city to the j-th sales site is xijt, then there is an equation