运筹学最小解集怎么确定（运筹学资源分配问题）

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Today Xiaobian brings you the knowledge sharing of Knowledge set | allocation of operations research resources, welcome to your visit.

今天是运筹学资源分配问题的例题，题目如下。

Today is an example of an operations research resource allocation problem, which is titled as follows

首先对K、sk、xk进行参数说明

First, the parameters of K, sk, and xk are described.

然后是第三阶段，此阶段可用资金以及可取资金范围都在0到4万元，而考虑最大效益只需考虑此阶段，故x3的取值即为可取的资金，即对角线。表格最后两列分别表示该行的最优质以及对应的X的取值。

Then there is the third stage, the available funds and desirable funds in this stage range from 0 to 40,000 yuan, and the maximum benefit only needs to consider this stage, so the value of x3 is the desirable funds, that is, the diagonal. The last two columns of the table represent the highest quality of the row and the corresponding X value, respectively.

接下来是第二阶段，此阶段可用资金以及可取资金范围也都在0到4万元，最大效益需考虑第三阶段的取值。例如，可用资金，也就是S2取3时，而X2取1表示B项目投资1万元，C项目投资2万元，故效益为B项目投资1万元的13万元的效益加上C项目投资3万元的30万元的效益。

Next is the second stage, the available funds and desirable funds in this stage are also in the range of 0 to 40,000 yuan, and the maximum benefit needs to consider the value of the third stage. For example, when the available funds, that is, S2 takes 3, and X2 takes 1 means that project B invests 10,000 yuan and project C invests 20,000 yuan, so the benefit is 130,000 yuan of investment in project B plus the benefit of 300,000 yuan of investment in project C of 30,000 yuan, which is calculated as follows

最后是第一阶段，与后两阶段不同的是，可用资金为4万元，可取资金的范围在0到4万元，即确定A项目的投资金额后，从二阶段的表格可直接读出剩余资金投资的最大效益，表格计算方法同二阶段一致，如X1取值1万元，剩余的3万元投资B、C，即二阶段的表格的第四行的最大值45。

Finally, the first stage, different from the latter two stages, the available funds are 40,000 yuan, the range of desirable funds is 0 to 40,000 yuan, that is, after determining the investment amount of project A, the maximum benefit of the remaining funds investment can be read directly from the second stage table, and the table calculation method is consistent with the second stage, such as X1 taking 10,000 yuan, the remaining 30,000 yuan investment B, C, that is, the maximum value of the fourth row of the second phase table 45, the calculation process is as follows

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That's it for today's sharing. If you have any unique ideas for today's article, please leave a comment, let us meet tomorrow, I wish you a happy day!

翻译：Google翻译

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