latex的约束问题排版

\begin{subequations}\label{eq:ctr_shale}
\begin{align}
\min  \sum_{j, k} r_{k} n_{k} \frac{V_{j}}{\theta_{j}}\left(x_{k j} -\theta_{j}\right)^{2} +\sum_{j} p_{j} u_{j} - \lambda \sum_{j, k} r_{k} n_{k} x_{k j} c_{k j}  \ \ \tag{\ref{eq:ctr_shale}}
\end{align} 
\begin{alignat}{2}
\text{s.t.} & \sum_{k \in \Gamma(j)} r_{k} n_{k} x_{k j}+u_{j}  \geq d_{j}, \forall j  &\text{ (demand constraints)}   \\
    &\sum_{j \in \Gamma(k)} x_{k j} \leq 1, \ \forall k & \text{(supply constraints)}  \\
    &r_{k} x_{k j} \leq f_{j}, \ \forall k,j &\text{ (frequency constraints)} \\
    &n_{k} x_{k j}  \leq 1, \ \forall k, j  &\text{ (slot constraints)}      \\
    &  x_{k j}, u_j\ge 0, \  \forall k, j  &\text{ (non-negativity constraint)} 
\end{alignat}
\end{subequations}
posted @ 2021-02-08 17:01  bregman  阅读(4494)  评论(0)    收藏  举报