Andreas Andreakis a écrit :
Hi Luc,

thank you very much for your quick and very detailed explanation. I´ll try out your suggestions very soon.

You mentioned, that there are better method in order to deal with such problems. Which are those methods ?

Constraint Programming. This is a mathematics fields by itself.

Can you recommend a library which implements them ?

The major player in this field is ILOG. This company provides various proprietary libraries in various languages. The libraries are efficients, the guys behind them are *very* good, and the libraries are ... really expensive. There are other commercial solutions apart from ILOG.

On the open-source side, you may try Choco (http://choco-solver.net/). I never used it myself but would be very interested if you could provide me feedback about it.


P.S.: don´t worry, I´m using commons math for other kind of calculations anyway ;))

I am aware the solution I provided to you was a simple dirty trick, it is neither elegant nor efficient. By the way, rather than ck = pk², I now think ck = exp(pk) would be a better variable change (but it still is a dirty trick).

Luc


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