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BLEIC multiple answers
http://forum.alglib.net/viewtopic.php?f=2&t=770
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Author:  maxter [ Fri Feb 08, 2013 6:45 pm ]
Post subject:  BLEIC multiple answers

Hi,
I am wondering weither or not I can use your BLEIC optimizer for my project.

I need to minimize cost of a particular problem and your optimizer seems good at doing this, but I was wondering is there is anyway that it can return not only the best solution, but also all the others (within a range) that he found wich are less optimal (cost is a bit higher) but might still be acceptable for the user.

thank you for your consideration

Author:  Sergey.Bochkanov [ Sun Feb 10, 2013 7:59 am ]
Post subject:  Re: BLEIC multiple answers

Yes, such situation is possible. In fact, there are two distinct cases when different answers can be returned:
1. answers which are located in the vicinity of the "true answer", but are slightly different from this "true answer". The tighter stopping criteria you specify, the closer to "true answer" they will be.
2. problems with multiple extrema - there is no way to make sure algorithm will choose "correct" one

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