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3
votes
2
answers
2k
views
Formulating a constraint to exclude a single point from the feasible region of an IP?
Consider a basic integer program such as:
$$\begin{align}
\min_x & \quad c^Tx \\
\text{s.t.} & \quad Ax \leq b \\
&\quad x_i \in \{-100,\ldots,100\}
\end{align}
$$
where $x \in \mathbb{Z}^n, A \in …
0
votes
1
answer
187
views
How to exclude all points adjacent to a given point from the feasible region of IP
Consider a basic integer program such as:
$$\begin{align}
\min_x & \quad c^Tx \\
\text{s.t.} & \quad Ax \leq b \\
&\quad x_i \in \{-100,\ldots,100\}
\end{align}
$$
where $x \in \mathbb{Z}^n, A \in …
2
votes
3
answers
2k
views
Difficulty of Integer Linear Programming vs. Mixed Integer Linear Programming
I have recently been working on an applied project where I have to solve optimization problems.
I have found that it is much easier to solve an integer linear program (ILP) as opposed to a mixed-int …
1
vote
0
answers
321
views
How to show that an MINLP with L0 regularization is NP-hard?
I am currently working on a project that involves a mixed-integer non-linear optimization problem, and wondering if I can state that this problem NP-hard in a research paper. I'm not looking for a for …