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# Questions tagged [mixed-integer-programming]

For questions about mathematical optimization problems involving both continuous and binary or general integer variables.

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3 votes
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### Modelling Question

Let $W^C_t$, $W_t$ be binary variables and $p$ an integer variable with $1 \leq p \leq 3$ The variables are related through the following equation: $$W^C_t = \sum_{\theta=1}^{p} W_{t-\theta}$$ I can ...
• 2,252
-1 votes
2 answers
92 views

### How to apply smooth approximation to non-linear complementarity constraints?

$P =$ $x, if U \geq U^{max}$ $y, if U^{up} < U < U^{max}$ $z, if U^{down} < U < U^{up}$ $\alpha, if U^{min} < U < U^{down}$ $\beta, if U \leq U^{min}$ Where $P$, and $U$ ...
6 votes
2 answers
247 views

### Robust optimization for IP formulation

I am researching the robust version of a problem. I have managed to produce an Integer programming formulation which solves the problem with perfect knowledge. From my research on the topic one can ...
• 392
5 votes
2 answers
148 views

### Number of simple cycles on the graph

I would like to know if there is an efficient way to formulate simple cycles on the Graph/Digraph. Let's say, there is a grid-form graph for which each vertex is only connected to a limited number of ...
• 8,892
1 vote
1 answer
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