Alternative Equation Formats

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MathML

\begin{aligned} minimize & \sum_{(i, j) \in A} \sum_{k \in V} c_{i j} z_{i j k} \\ subject to & \sum_{k \in V} y_{i k} & \geq 1 & i \in C & (Assignment) \\ \sum_{(i, j) \in A} z_{i j k} & = y_{i k} & i \in N, k \in V & (LeaveNode) \\ \sum_{(j, i) \in A} z_{j i k} & = y_{i k} & i \in N, k \in V & (EnterNode) \\ \sum_{(j, i) \in A} x_{j i k} - \sum_{(i, j) \in A} x_{i j k} & = d_{i} y_{i k} & i \in C, k \in V & (FlowBalance) \\ x_{i j k} & \leq L z_{i j k} & (i, j) \in A, k \in V & (VehicleCapacity) \\ y_{1 k} & = 1 & k \in V & (Depot) \\ x_{i j k} & \geq 0 & (i, j) \in A, k \in V \\ y_{i k} & \in {0, 1} & i \in N, k \in V \\ z_{i j k} & \in {0, 1} & (i, j) \in A, k \in V \end{aligned}

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Math as LaTeX Source

\begin{align*} & \text {minimize} & \sum _{(i,j) \in A} \sum _{k \in V} c_{ij} z_{ijk}\\ & \text {subject to} & \sum _{k \in V} y_{ik} & \geq 1 & & i \in C & & \text {(Assignment)}\\ & & \sum _{(i,j) \in A} z_{ijk} & = y_{ik} & & i \in N, \ k \in V & & \text {(LeaveNode)} \\ & & \sum _{(j,i) \in A} z_{jik} & = y_{ik} & & i \in N, \ k \in V & & \text {(EnterNode)} \\ & & \sum _{(j,i) \in A} x_{jik} - \sum _{(i,j) \in A} x_{ijk} & = d_ i y_{ik} & & i \in C, \ k \in V & & \text {(FlowBalance)}\\ & & x_{ijk} & \leq L z_{ijk} & & (i,j) \in A, \ k \in V & & \text {(VehicleCapacity)} \\ & & y_{1k} & = 1 & & k \in V & & \text {(Depot)} \\ & & x_{ijk} & \geq 0 & & (i,j) \in A, \ k \in V \\ & & y_{ik} & \in \left\{ 0,1\right\} & & i \in N, \ k \in V \\ & & z_{ijk} & \in \left\{ 0,1\right\} & & (i,j) \in A, \ k \in V \end{align*}