Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{llllll} min & \sum_{(i, j) \in A} \sum_{c \in C} s_{i j c} x_{i j c} + \sum_{(i, j) \in A} f_{i j} y_{i j} \\ s . t . & \sum_{j \in N | (i, j) \in A} x_{i j c} - \sum_{j \in N | (j, i) \in A} x_{j i c} & \leq & d_{i c} & \forall i \in N, c \in C & (b a l a n c e_c o n) \\ x_{i j c} & \leq & u_{i j c} y_{i j} & \forall (i, j) \in A, c \in C & (f i x e d_c h a r g e_c o n) \\ x_{i j c} & \geq & 0 & \forall (i, j) \in A, c \in C \\ y_{i j} \in {0, 1} & \forall (i, j) \in A \end{array}

Math Rendered as SVG

Math as LaTeX Source

\[ \begin{array}{llllll} \min & \displaystyle \sum _{(i,j) \in A} \displaystyle \sum _{c \in C} s_{ijc} x_{ijc} + \displaystyle \sum _{(i,j) \in A} f_{ij} y_{ij} \\ \mr{s.t.} & \displaystyle \sum _{j \in N | (i,j) \in A} x_{ijc} - \displaystyle \sum _{j \in N | (j,i) \in A} x_{jic} & \leq & d_{ic} & \forall i \in N, c \in C & \mr{(balance\_ con)}\\ & x_{ijc} & \leq & u_{ijc} y_{ij} & \forall (i,j) \in A, c \in C & \mr{(fixed\_ charge\_ con)} \\ & x_{ijc} & \geq & 0 & \forall (i,j) \in A, c \in C \\ & y_{ij} \in \{ 0,1\} & & & \forall (i,j) \in A \end{array} \]