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From "Benjamin McCann (JIRA)" <j...@apache.org>
Subject [jira] Commented: (MATH-328) Is "NoFeasibleSolutionException" Bug not Fixed Yet?
Date Fri, 08 Jan 2010 22:33:54 GMT

    [ https://issues.apache.org/jira/browse/MATH-328?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12798211#action_12798211
] 

Benjamin McCann commented on MATH-328:
--------------------------------------

I can't tell whether this is a bug or is giving you the correct solution.  Very often there
is not a feasible solution, so this may well be functioning correctly.  It would be helpful
to run this same problem through another linear programming library and see if it gives the
same solution.  Also, if possible, smaller examples are usually much easier to debug.  I'd
suggest perhaps using a free trial of Lindo and seeing if it returns that there is no feasible
solution.

> Is "NoFeasibleSolutionException" Bug not Fixed Yet?
> ---------------------------------------------------
>
>                 Key: MATH-328
>                 URL: https://issues.apache.org/jira/browse/MATH-328
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 2.1
>         Environment: Windows XP commons Math 2.0 jre 1.6 
>            Reporter: son ki sup
>            Priority: Critical
>         Attachments: error_data.txt
>
>
> I received a e-mail which introduces URL "https://svn.apache.org/repos/asf/commons/proper/math/trunk".
> I downloaded Source Files in  Package "org\apache\commons\math\optimization\linear" 
> and compiled these files(make a new commons-math-2.?.jar = Simplex Patch Version)
> Lastly I  tested a fixed Simplex module, But didn't get a feasible solution.
> Exception Message is as follow
> -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
> org.apache.commons.math.optimization.linear.NoFeasibleSolutionException: no feasible
solution
>         at org.apache.commons.math.optimization.linear.SimplexSolver.solvePhase1(SimplexSolver.java:166)
>         at org.apache.commons.math.optimization.linear.SimplexSolver.doOptimize(SimplexSolver.java:176)
>         at org.apache.commons.math.optimization.linear.AbstractLinearOptimizer.optimize(AbstractLinearOptimizer.java:106)
>         at SimplexSolverTest.test111(SimplexSolverTest.java:711)
>         at SimplexSolverTest.main(SimplexSolverTest.java:730
> -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
> Test Data is as follow
> -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
> double[] ob = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1000,0,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,0};
> 		double[] c1  = {115239312,65417490,111006072,63657738,26800758,120283110,137807244,90077436,25759098,20452338,40821822,136261944,54779832,42682500,138210804,27299808,144635238,105106248,46103364,142549164,94178844,129443166,127867176,152840844,104050710,122083578,25506900,110386026,79515846,149110056,98889318,87030882,128243016,112193730,109948500,134574300,72316818,174011850,139884606,170461962,178817040,45444960,119593602,82012374,155913894,19837854,135737676,77510844,168166152,63235476,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c2  = {115239312,65417490,111006072,63657738,26800758,120283110,137807244,90077436,25759098,20452338,40821822,136261944,54779832,42682500,138210804,27299808,144635238,105106248,46103364,142549164,94178844,129443166,127867176,152840844,104050710,122083578,25506900,110386026,79515846,149110056,98889318,87030882,128243016,112193730,109948500,134574300,72316818,174011850,139884606,170461962,178817040,45444960,119593602,82012374,155913894,19837854,135737676,77510844,168166152,63235476,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c3  = {8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,11.1,14.4,7.5,4.5,3.6,9.3,12.6,5.4,1.2,6.6,8.1,9.6,8.1,8.1,13.8,0.6,14.1,6.6,15,10.2,7.2,6,1.2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c4  = {8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,8.4,11.1,14.4,7.5,4.5,3.6,9.3,12.6,5.4,1.2,6.6,8.1,9.6,8.1,8.1,13.8,0.6,14.1,6.6,15,10.2,7.2,6,1.2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c5  = {-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-48.9,-45.6,-52.5,-55.5,-56.4,-50.7,-47.4,-54.6,-58.8,-53.4,-51.9,-50.4,-51.9,-51.9,-46.2,-59.4,-45.9,-53.4,-45,-49.8,-52.8,-54,-58.8,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c6  = {-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-51.6,-48.9,-45.6,-52.5,-55.5,-56.4,-50.7,-47.4,-54.6,-58.8,-53.4,-51.9,-50.4,-51.9,-51.9,-46.2,-59.4,-45.9,-53.4,-45,-49.8,-52.8,-54,-58.8,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c7  = {-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c8  = {-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c9  = {24,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,24,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c10 = {24,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,24,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c11 = {-9,21,21,21,21,21,21,21,21,21,21,21,21,21,-9,-9,-9,-9,-9,21,21,21,-9,-9,-9,-9,-9,21,21,-9,-9,-9,21,-9,-9,21,21,-9,-9,-9,21,21,21,21,21,21,21,21,21,21,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c12 = {-9,21,21,21,21,21,21,21,21,21,21,21,21,21,-9,-9,-9,-9,-9,21,21,21,-9,-9,-9,-9,-9,21,21,-9,-9,-9,21,-9,-9,21,21,-9,-9,-9,21,21,21,21,21,21,21,21,21,21,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c13 = {-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,24,24,24,24,24,-6,-6,-6,24,-6,-6,24,24,-6,-6,24,24,24,-6,24,-6,-6,-6,-6,-6,24,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0};
> 		double[] c14 = {-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,24,24,24,24,24,-6,-6,-6,24,-6,-6,24,24,-6,-6,24,24,24,-6,24,-6,-6,-6,-6,-6,24,-6,-6,-6,-6,-6,-6,-6,-6,-6,-6,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0};
> 		double[] c15 = {-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,27,27,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,27,27,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0};
> 		double[] c16 = {-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,27,27,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,27,27,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0};
> 		double[] c17 = {-21,9,9,9,9,9,9,9,9,9,9,9,9,-21,9,9,-21,-21,9,9,9,9,-21,-21,-21,9,9,9,9,9,9,9,9,9,-21,-21,-21,-21,9,9,9,9,9,9,9,9,9,9,9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0};
> 		double[] c18 = {-21,9,9,9,9,9,9,9,9,9,9,9,9,-21,9,9,-21,-21,9,9,9,9,-21,-21,-21,9,9,9,9,9,9,9,9,9,-21,-21,-21,-21,9,9,9,9,9,9,9,9,9,9,9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0};
> 		double[] c19 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0};
> 		double[] c20 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0};
> 		double[] c21 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0};
> 		double[] c22 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0};
> 		double[] c23 = {-76826208,-43611660,-74004048,-42438492,-17867172,-80188740,-91871496,-60051624,-17172732,-13634892,-27214548,-90841296,-36519888,-28455000,-92140536,-18199872,-96423492,-70070832,-30735576,-95032776,-62785896,-86295444,-85244784,-101893896,-69367140,-81389052,-17004600,-73590684,-53010564,-99406704,-65926212,-58020588,-85495344,-74795820,-73299000,-89716200,-48211212,-116007900,-93256404,-113641308,-119211360,-30296640,-79729068,-54674916,-103942596,-13225236,-90491784,-51673896,-112110768,-42156984,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c24 = {1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c25 = {0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c26 = {0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c27 = {0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c28 = {0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c29 = {0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c30 = {0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c31 = {0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c32 = {0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c33 = {0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c34 = {0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c35 = {0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c36 = {0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c37 = {0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c38 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c39 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c40 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c41 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c42 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c43 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c44 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c45 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c46 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c47 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c48 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c49 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c50 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c51 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c52 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c53 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c54 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c55 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c56 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c57 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c58 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c59 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c60 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c61 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c62 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c63 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c64 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c65 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c66 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c67 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c68 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c69 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c70 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c71 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c72 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 		double[] c73 = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
> 	
> 		
> 		
> 		
> 		LinearObjectiveFunction f = new LinearObjectiveFunction(ob, 0 );
> 	  	Collection<LinearConstraint> constraints = new ArrayList<LinearConstraint>();
> 	
> 	  	constraints.add(new LinearConstraint(c1 , Relationship.GEQ,3000000000.0d));
> 		constraints.add(new LinearConstraint(c2 , Relationship.LEQ,3000000000.0d));
> 		constraints.add(new LinearConstraint(c3 , Relationship.LEQ,1200.0d));
> 		constraints.add(new LinearConstraint(c4 , Relationship.GEQ,1200.0d));
> 		constraints.add(new LinearConstraint(c5 , Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c6 , Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c7 , Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c8 , Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c9 , Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c10, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c11, Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c12, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c13, Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c14, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c15, Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c16, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c17, Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c18, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c19, Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c20, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c21, Relationship.LEQ,0.0d));
> 		constraints.add(new LinearConstraint(c22, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c23, Relationship.GEQ,0.0d));
> 		constraints.add(new LinearConstraint(c24, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c25, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c26, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c27, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c28, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c29, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c30, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c31, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c32, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c33, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c34, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c35, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c36, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c37, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c38, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c39, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c40, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c41, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c42, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c43, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c44, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c45, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c46, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c47, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c48, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c49, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c50, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c51, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c52, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c53, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c54, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c55, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c56, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c57, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c58, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c59, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c60, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c61, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c62, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c63, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c64, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c65, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c66, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c67, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c68, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c69, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c70, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c71, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c72, Relationship.GEQ,1.0d));
> 		constraints.add(new LinearConstraint(c73, Relationship.GEQ,1.0d));
> 	
> 	
> 	 	try {
> 		  	SimplexSolver solver = new SimplexSolver();
> 		  	
> 		  	RealPointValuePair solution = solver.optimize(f, constraints, GoalType.MINIMIZE,
false);
> 		 
> 		  	double[] p = solution.getPoint();
> 		
> 		  	for(int i=0; i < p.length; i++) {
> 		  		System.out.println(p[i]);
> 		  	}
> 		}catch(Exception e) {
> 			e.printStackTrace();
> 		}
> -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
> for reference,  I  need to use  a few hundred contraints(The data presented is part of
the required data)

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