Linear Programming feasible using linprog and unfeasible using Gurobi in Matlab












0















I have the following very simple linear programming problem to solve in Matlab



clear

%The unknown
%x=[x1,...,x10];

%The constraints
%x2+x8=Phi12
%x3+x7=Phi21
%x5=infvalue;
%x10=infvalue;

%The known parameters
Phi12=-3.3386;
Phi21=3.0722;
infvalue=50;

sizex=10; %size of the unknown


The problem admits a solution.



When I implement this LP using linprogr it find a solution.



When I implement this LP using the Gurobi solver it tells me that the problem is unfeasible.



What am I doing wrong? Here's my code.



beq=[Phi12; Phi21; infvalue; infvalue];

rAeq=[ 1 1 ...
2 2 ...
3 ...
4];

cAeq=[ 2 8 ...
3 7 ...
5 10];

fillAeq=[1 1 ...
1 1 ...
ones(1,2)];

Aeq=sparse(rAeq, cAeq,fillAeq, size(beq,1),sizex);
Aeqfull=full(Aeq);

%linprogr
f=zeros(sizex,1);
xlinprog = linprog(f,,,Aeqfull,beq);

%Gurobi
clear model;
model.A=Aeq;
model.rhs=beq;
model.sense=repmat('=', size(Aeq,1),1);
model.obj=f;
resultgurobi=gurobi(model);


During my attempts to understand what is going on: if I put any positive value in place of -3.3386, then Gurobi works perfectly. Whta










share|improve this question





























    0















    I have the following very simple linear programming problem to solve in Matlab



    clear

    %The unknown
    %x=[x1,...,x10];

    %The constraints
    %x2+x8=Phi12
    %x3+x7=Phi21
    %x5=infvalue;
    %x10=infvalue;

    %The known parameters
    Phi12=-3.3386;
    Phi21=3.0722;
    infvalue=50;

    sizex=10; %size of the unknown


    The problem admits a solution.



    When I implement this LP using linprogr it find a solution.



    When I implement this LP using the Gurobi solver it tells me that the problem is unfeasible.



    What am I doing wrong? Here's my code.



    beq=[Phi12; Phi21; infvalue; infvalue];

    rAeq=[ 1 1 ...
    2 2 ...
    3 ...
    4];

    cAeq=[ 2 8 ...
    3 7 ...
    5 10];

    fillAeq=[1 1 ...
    1 1 ...
    ones(1,2)];

    Aeq=sparse(rAeq, cAeq,fillAeq, size(beq,1),sizex);
    Aeqfull=full(Aeq);

    %linprogr
    f=zeros(sizex,1);
    xlinprog = linprog(f,,,Aeqfull,beq);

    %Gurobi
    clear model;
    model.A=Aeq;
    model.rhs=beq;
    model.sense=repmat('=', size(Aeq,1),1);
    model.obj=f;
    resultgurobi=gurobi(model);


    During my attempts to understand what is going on: if I put any positive value in place of -3.3386, then Gurobi works perfectly. Whta










    share|improve this question



























      0












      0








      0








      I have the following very simple linear programming problem to solve in Matlab



      clear

      %The unknown
      %x=[x1,...,x10];

      %The constraints
      %x2+x8=Phi12
      %x3+x7=Phi21
      %x5=infvalue;
      %x10=infvalue;

      %The known parameters
      Phi12=-3.3386;
      Phi21=3.0722;
      infvalue=50;

      sizex=10; %size of the unknown


      The problem admits a solution.



      When I implement this LP using linprogr it find a solution.



      When I implement this LP using the Gurobi solver it tells me that the problem is unfeasible.



      What am I doing wrong? Here's my code.



      beq=[Phi12; Phi21; infvalue; infvalue];

      rAeq=[ 1 1 ...
      2 2 ...
      3 ...
      4];

      cAeq=[ 2 8 ...
      3 7 ...
      5 10];

      fillAeq=[1 1 ...
      1 1 ...
      ones(1,2)];

      Aeq=sparse(rAeq, cAeq,fillAeq, size(beq,1),sizex);
      Aeqfull=full(Aeq);

      %linprogr
      f=zeros(sizex,1);
      xlinprog = linprog(f,,,Aeqfull,beq);

      %Gurobi
      clear model;
      model.A=Aeq;
      model.rhs=beq;
      model.sense=repmat('=', size(Aeq,1),1);
      model.obj=f;
      resultgurobi=gurobi(model);


      During my attempts to understand what is going on: if I put any positive value in place of -3.3386, then Gurobi works perfectly. Whta










      share|improve this question
















      I have the following very simple linear programming problem to solve in Matlab



      clear

      %The unknown
      %x=[x1,...,x10];

      %The constraints
      %x2+x8=Phi12
      %x3+x7=Phi21
      %x5=infvalue;
      %x10=infvalue;

      %The known parameters
      Phi12=-3.3386;
      Phi21=3.0722;
      infvalue=50;

      sizex=10; %size of the unknown


      The problem admits a solution.



      When I implement this LP using linprogr it find a solution.



      When I implement this LP using the Gurobi solver it tells me that the problem is unfeasible.



      What am I doing wrong? Here's my code.



      beq=[Phi12; Phi21; infvalue; infvalue];

      rAeq=[ 1 1 ...
      2 2 ...
      3 ...
      4];

      cAeq=[ 2 8 ...
      3 7 ...
      5 10];

      fillAeq=[1 1 ...
      1 1 ...
      ones(1,2)];

      Aeq=sparse(rAeq, cAeq,fillAeq, size(beq,1),sizex);
      Aeqfull=full(Aeq);

      %linprogr
      f=zeros(sizex,1);
      xlinprog = linprog(f,,,Aeqfull,beq);

      %Gurobi
      clear model;
      model.A=Aeq;
      model.rhs=beq;
      model.sense=repmat('=', size(Aeq,1),1);
      model.obj=f;
      resultgurobi=gurobi(model);


      During my attempts to understand what is going on: if I put any positive value in place of -3.3386, then Gurobi works perfectly. Whta







      matlab linear-programming gurobi






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      edited Nov 15 '18 at 16:18







      user3285148

















      asked Nov 15 '18 at 15:38









      user3285148user3285148

      641526




      641526
























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          In Matlab's linprog it holds -inf <= x <= inf by default for your variable x, while for Gurobi it is x >= 0. Due to this you need to set the lower bound for your variables to -Inf:



          model.lb = -inf * ones(sizex, 1);





          share|improve this answer























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            1 Answer
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            active

            oldest

            votes









            1














            In Matlab's linprog it holds -inf <= x <= inf by default for your variable x, while for Gurobi it is x >= 0. Due to this you need to set the lower bound for your variables to -Inf:



            model.lb = -inf * ones(sizex, 1);





            share|improve this answer




























              1














              In Matlab's linprog it holds -inf <= x <= inf by default for your variable x, while for Gurobi it is x >= 0. Due to this you need to set the lower bound for your variables to -Inf:



              model.lb = -inf * ones(sizex, 1);





              share|improve this answer


























                1












                1








                1







                In Matlab's linprog it holds -inf <= x <= inf by default for your variable x, while for Gurobi it is x >= 0. Due to this you need to set the lower bound for your variables to -Inf:



                model.lb = -inf * ones(sizex, 1);





                share|improve this answer













                In Matlab's linprog it holds -inf <= x <= inf by default for your variable x, while for Gurobi it is x >= 0. Due to this you need to set the lower bound for your variables to -Inf:



                model.lb = -inf * ones(sizex, 1);






                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Nov 15 '18 at 16:32









                jonijoni

                768158




                768158
































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