线性规划的一般模型 :
\[ \begin{aligned} \min \quad z &= c_1x_1+c_2x_2+ \cdots + c_nx_n \\ s.t. \quad & \begin{cases} & a_{11}x_1+a_{12}x_2+ \cdots + a_{1n}x_n \leq b_1 \\ & a_{21}x_1+a_{22}x_2+ \cdots + a_{2n}x_n \leq b_2 \\ & \quad \cdots \qquad \cdots \qquad \cdots \\ & a_{m1}x_1+a_{m2}x_2+ \cdots + a_{mn}x_n \leq b_m \\ & x_1,x_2,x_3,\cdots,x_n \geq 0 \end{cases} \end{aligned} \]