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Topic: Fmincon: nonlinear binary problem
Replies: 10   Last Post: Apr 12, 2013 7:07 AM

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Registered: 4/10/13
Re: Fmincon: nonlinear binary problem
Posted: Apr 11, 2013 6:55 AM
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I was just thinking that all these 3 constraints can be written as one

x_ik+x_jk>=2*z_ijk, right?

"Torsten" wrote in message <kk60l8$l9i$>...
> Because you substitute x_ik*x_jk = min(x_ik,x_jk) , I think you will need z_ijk:
> z_ijk <= x_ik
> z_ijk <= x_jk
> z_ijk >= x_ik + x_jk - 1

Good point Torsten. Theoretically, I would need to index z over k but from other constraints I also know that there may be at most one k for which z_ijk=1 and I don't need to know the detailed information which k it is, but only the indication whether it happens at all. Would indexing z_ij be correct in that case? It's important to me to limit the size of the variables as well.


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