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Referring to optimization problems that consist only of linear constraints and a linear objective function.
6
votes
Accepted
Linear Programming with constraints of the form $Cx \nless d$ where $C\in R^{m\times n}$
The constraint $Cx \nless d$ is can be expressed as a mixed-integer program under certain conditions.
\begin{eqnarray}
C_i x - M_i y_i &\ge& d_i \hspace{0.3 in} \forall i \in I \\
\sum_{i \in I} y …
3
votes
Accepted
Is it possible to represent non-linear ranking type constraints as equivalent linear constra...
There are several ways to convert your model to linear constraints. For example
\begin{eqnarray}
z^1_{ij}(a) + z^2_{ij}(a) &=& z_i(a) \ \ \forall i,j,a \\
z^1_{ij}(a) &\le& 1- \sum_{b \ge a} z_j(b) …