Re: [math] Re: solving a linear optimization problem with commons math ?

[chengas123 <be...@gmail.com>]

Since this is a linear problem you can use SimplexSolver (only available in
Commons Math 2.0).  
You can reformulate the problem to the equivalent:
Maximize C1 (you can put anything here since in your case you don't care
about the maximization aspect of the problem but only the constraint
satisfaction)
Subject To
1 * c1 + 4 * c2 + 4 * c3 + 4 * c4 = 2.5
1 * c1 + 4 * c2 + 1 * c3 + 4 * c4 = 3.0
1 * c1 + 1 * c2 + 1 * c3 + 1 * c4 = 1.0 



> 1 *c1 + 4 * c2 + 4* c3 + 4 * c4 = 2.5
> 1 *c1 + 4 * c2 + 1* c3 + 4 * c4 = 3.0
> 
> here the constraints:
> 1) c1+c2+c3+c4 = 1 (of course this could be expressed as an additional
> equation: c1 + c2 + c3 + c4 = 1.0)
> 2) c1,c2,c3 and c4 are all positive 
> 

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