线性规划

![Pasted image 20250805203712](../../../../_assets/6fb6c17-Pasted image 20250805203712.png) 决策变量：x、y 目标函数：红色 约束条件：绿色

![Pasted image 20250805203557](../../../../_assets/43d0a06-Pasted image 20250805203557.png)

使用matlab来实现

![Pasted image 20250805203846](../../../../_assets/ef8deb4-Pasted image 20250805203846.png) 能不能不使用matlab... 还必须要转化为标准型...

整数规划

![Pasted image 20250805205808](../../../../_assets/f081c91-Pasted image 20250805205808.png)

![Pasted image 20250805205938](../../../../_assets/1328c46-Pasted image 20250805205938.png)

![Pasted image 20250805210150](../../../../_assets/06ec3e3-Pasted image 20250805210150.png)

incon指明决策变量的整数index

蒙特卡洛模拟： ![Pasted image 20250805212429](../../../../_assets/88280ed-Pasted image 20250805212429.png)

零一规划

![Pasted image 20250805210848](../../../../_assets/73022fa-Pasted image 20250805210848.png) ![Pasted image 20250805211156](../../../../_assets/0b123dc-Pasted image 20250805211156.png) ![Pasted image 20250805211610](../../../../_assets/f271af8-Pasted image 20250805211610.png) ![Pasted image 20250805211633](../../../../_assets/4ec66b7-Pasted image 20250805211633.png)

非线性规划

在约束条件中的变量最高阶不超过1次，为线性约束，其余为非线性。

![Pasted image 20250806151521](../../../../_assets/9c70a9d-Pasted image 20250806151521.png) （要进行matlab标准化） ![Pasted image 20250806151835](../../../../_assets/732fe9a-Pasted image 20250806151835.png) ![Pasted image 20250806151941](../../../../_assets/1124d81-Pasted image 20250806151941.png) 那我使用cursor如何呢