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From "Alexey Slepov (JIRA)" <j...@apache.org>
Subject [jira] [Commented] (MATH-828) Not expected UnboundedSolutionException
Date Tue, 31 Jul 2012 09:39:34 GMT

    [ https://issues.apache.org/jira/browse/MATH-828?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13425638#comment-13425638
] 

Alexey Slepov commented on MATH-828:
------------------------------------

I confirm that those new improvements erased errors were remaining.
Tests of
https://repository.apache.org/content/repositories/snapshots/org/apache/commons/commons-math3/3.1-SNAPSHOT/commons-math3-3.1-20120730.205101-159.jar
gives

15 entities, 4 input arguments, 3 output arguments, epsilon = 1.0E-8
0 unbounded solutions of 1024 iterations ( = 0.0 of 1)
0 nofeasible solutions of 1024 iterations ( = 0.0 of 1)
0 maxcount exceeded exception of 1024 iterations ( = 0.0 of 1)
Total 0.0 failures of 1024 iterations ( = 0.0 of 1)

25 entities, 4 input arguments, 3 output arguments, epsilon = 1.0E-8
0 unbounded solutions of 1024 iterations ( = 0.0 of 1)
0 nofeasible solutions of 1024 iterations ( = 0.0 of 1)
0 maxcount exceeded exception of 1024 iterations ( = 0.0 of 1)
Total 0.0 failures of 1024 iterations ( = 0.0 of 1)

35 entities, 4 input arguments, 3 output arguments, epsilon = 1.0E-8
0 unbounded solutions of 1024 iterations ( = 0.0 of 1)
0 nofeasible solutions of 1024 iterations ( = 0.0 of 1)
0 maxcount exceeded exception of 1024 iterations ( = 0.0 of 1)
Total 0.0 failures of 1024 iterations ( = 0.0 of 1)

Excellent! Thank you, Thomas!
                
> Not expected UnboundedSolutionException
> ---------------------------------------
>
>                 Key: MATH-828
>                 URL: https://issues.apache.org/jira/browse/MATH-828
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.0
>         Environment: Intel Core i5-2300 Windows XP SP3
>            Reporter: Alexey Slepov
>            Assignee: Thomas Neidhart
>              Labels: linear, math, programming
>             Fix For: 3.1
>
>         Attachments: ApacheSimplexWrapper.java, ApacheSimplexWrapperTest.java, Entity.java,
commons-math3-3.0.jar
>
>
> SimplexSolver throws UnboundedSolutionException when trying to solve minimization linear
programming problem. The number of exception thrown depends on the number of variables.
> In order to see that behavior of SimplexSolver first try to run JUnit test setting a
final variable ENTITIES_COUNT = 2 and that will give almost good result and then set it to
15 and you'll get a massive of unbounded exceptions.
> First iteration is runned with predefined set of input data with which the Solver gives
back an appropriate result.
> The problem itself is well tested by it's authors (mathematicians who I believe know
what they developed) using Matlab 10 with no unbounded solutions on the same rules of creatnig
random variables values.
> What is strange to me is the dependence of the number of UnboundedSolutionException exceptions
on the number of variables in the problem.
> The problem is formulated as
> min(1*t + 0*L) (for every r-th subject)
> s.t.
> -q(r) + QL >= 0
> x(r)t - XL >= 0
> L >= 0
> where 
> r = 1..R, 
> L = {l(1), l(2), ..., l(R)} (vector of R rows and 1 column),
> Q - coefficients matrix MxR
> X - coefficients matrix NxR 

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