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Results tagged with mixed-integer-programming
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user 5007
For questions about mathematical optimization problems involving both continuous and binary or general integer variables.
5
votes
3
answers
3k
views
How to represent an integer variable via binary variables?
Suppose we have a model with $N$ integer variables, i.e. $x \in \mathbb{Z}^{N}$ with $L \leq x \leq U$.
How can we represent the integer variables via binary variables? Or in other words: how can we t …
- 385
6
votes
2
answers
881
views
How to transform this logical if-then constraint?
Consider the binary variables $x, y, z \in \{0,1\}$.
I'd like to formulate the two if-then constraints:
$$ x + y \geq 2 \implies z = 0, \tag{1} $$
$$ x + y \leq 1 \implies z = 1. \tag{2} $$
Constraint …
- 385
4
votes
3
answers
454
views
How to transform a logical constraint with integer variables?
Consider the binary variables $x_1, x_2 \in \{0,1\}$ and the integer variable $y \in \mathbb{Z}$ with $0 \leq y \leq 3$.
I'd like to formulate the following logical constraint:
$$
x_1 = 1 \wedge y \ge …
- 385