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For questions about mathematical optimization problems involving a nonlinear objective function and/or nonlinear constraints.
1
vote
0
answers
73
views
Dual of a quadratic constraint
This is my model.
\begin{align}
\min_x&\quad\sum_{e\in E} X_e p_e \\
\text{s.t.}&\quad\sum_{e \in E: T(e)=i} X_e - \sum_{e \in E: H(e)=i} X_e = \begin{cases}1, \;\text{if}\;i=s\\-1,\;\text{if}\;i=t\\ …
0
votes
1
answer
87
views
Min-convex function as constraint
I have a constraint that is as follows:
$$
Ax - f(x) \leq 0
$$
where $f(x)=min_y(g(x,y))$. Which is convex. I can even get the gradient in $x$. How can I reformulate my constraint? or what approa …
2
votes
0
answers
99
views
Branching the product of binary and continuous variable in Gurobi
I have a binary variable (X) multiplying a continuous variable (Y). I know I can linearize by adding an auxiliary variable (I have that model working), but I now want to do my own branching in the bin …