一般数学模型 min ⁡ z = ∑ l = 1 L P l ∑ k = 1 K ( ω l k − d k − + ω l k + d k + ) { ∑ j = 1 n c k j x j + d k − − d k + = g k , k = 1 , ⋯   , K ∑ j = 1 n a i j x j ≤ ( = , ≥ ) b i , i = 1 , ⋯   , m x j ≥ 0 , j = 1 , ⋯   , n d k − , d k + ≥ 0 , k = 1 , ⋯   , K \begin{array}{l} \min z=\sum\limits_{l=1}^LP_l\sum\limits_{k=1}^K(\omega_{lk}^-d_k^-+\omega_{lk}^+d_k^+)\\ \left\{\begin{array}{l} \sum\limits_{j=1}^nc_{kj}x_j+d_k^--d_k^+=g_k,k=1,\cdots,K\\ \sum\limits_{j=1}^na_{ij}x_j\le(=,\ge)b_i,i=1,\cdots,m\\ x_j\ge 0,j=1,\cdots,n\\ d_k^-,d_k^+\ge 0,k=1,\cdots,K \end{array}\right. \end{array} minz=l=1∑L​Pl​k=1∑K​(ωlk−​dk−​+ωlk+​dk+​)⎩⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎧​j=1∑n​ckj​xj​+dk−​−dk+​=gk​,k=1,⋯,Kj=1∑n​aij​xj​≤(=,≥)bi​,i=1,⋯,mxj​≥0,j=1,⋯,ndk−​,dk+​≥0,k=1,⋯,K​​