SimplexSolver fails to solve feasible problem instance 
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                 Key: MATH-351
                 URL: https://issues.apache.org/jira/browse/MATH-351
             Project: Commons Math
          Issue Type: Bug
    Affects Versions: 2.0
         Environment: Windows Vista Home Premium Version 6.0 Service Pack 1, 
Build 6001
            Reporter: Mark Thomas


SimplexSolver throws an UnboundedSolutionException on a problem instance I can 
optimally solve with Excel's Solver. I've kept the parameters between the two 
programs the same as far as I can tell  (i.e. both have a precision/epsilon 
value of 1e-6 and a maxIterations value of 1000). I will attach a JUnit test  
with an example problem on which SimplexSolver fails. I will also attach an 
Excel spreadsheet wtih the same data and successful Solver setup in place.

I don't know a whole lot about linear programming or Simplex, but the problem 
I'm attempting to solve does appear to have a fairly sparse coefficient matrix, 
which may be part of the problem.

It's surprisingly difficult to find a Java-based linear programming library, so 
I was ecstatic when I found this. Let me know how I can help!

Thanks!

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