What are some "clustering" algorithms? (but not the type of clustering you're thinking about)

linear programming – If-then constraint with steady variables Answer

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linear programming – If-then constraint with steady variables

I used to be normally utilizing if-then constraints with integer variables however ended up utilizing steady variables and bought confused. I’ve variables $x_{ij}inmathbb{R}_{geq 0}$, and would love to compel this system: if $x_{ij}>0$, then $x_{ji}=0$, the place $i,jinmathcal{I}$. When I employ the next (by which $mathbb{M}$ is an enormous quantity), it appears love the constraint serves to the goal.

$$x_{ij}geq mathbb{M}x_{ji} qquad forall i,jinmathcal{I}.$$

However, it does a bit additional than what is anticipated and undesired, which is $x_{ji}=0$, when $x_{ij}=0$. The balance of this may breathe conflicting. My variable primarily denotes a current quantity from node $i$ to node $j$, and I’d love to make sure: if current happens from $i$ to $j$, it mustn’t happen from $j$ to $i$. Thanks in forward!

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