2k views

• 159k
10k views

• 502
1 vote
5k views

### Expressing conditional in linear program [duplicate]

I have two variables $A$ and $B$, with $A$ being binary and $B$ is a real number where $B \ge 0$. My conditions are: if B > 0 A = 1 else A = 0 ...
• 229
4k views

• 215
1 vote
663 views

185 views

### Modeling $(x > 0 \wedge y > 0) \Leftrightarrow z > 0$ in a linear program: impossible?

In this question, we see how to model boolean logic in $0 - 1$ ILPs. Moving to a relaxation, modelling $(x > 0 \vee y > 0) \Leftrightarrow z > 0$ with $x,y,z \in [0,1]$ with linear ...
• 2,019
1 vote
374 views

### Restrictions that set binary variable to 1 when integer variable equals x, 0 otherwise

I have this problem: I'm building an integer linear program, which I'm going to give to an ILP solver. I have a binary variable Y which can be either 1 or 0 and an integer variable MONTH which takes ...
• 121
1 vote
Consider a problem: we have an undirected graph $G = (V, E)$, function $l: E \to \mathbb{Z}_{+}$ where $l(e)$ is edge's length $e \in E$, and two vertices $s$ and $t$. And we want to find a pair \$(A, ...