#17867: Risk of confusion between LPProblem and MixedIntegerLinearProgram
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       Reporter:  ncohen             |        Owner:
           Type:  defect             |       Status:  positive_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  linear             |   Resolution:
  programming                        |    Merged in:
       Keywords:                     |    Reviewers:  Andrey Novoseltsev
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  public/17867       |  5b98d3d61c7b13d89d73dea09947f81d4f9e61be
   Dependencies:                     |     Stopgaps:
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Comment (by dimpase):

 Replying to [comment:11 novoselt]:
 > Replying to [comment:6 dimpase]:
 > > Replying to [comment:5 vdelecroix]:
 > > >
 > > > And last but not the least: we can use the class `ILPP` to cross
 check the validity of (float) `MILP` and vice-versa.
 > >
 > >
 > > I mentioned some time ago that there is a way to get proper
 certificates of optimality/infeasibility for LPs (cf Farkas lemma, etc),
 and it ought to be in Sage...
 >
 > Definitely, and these certificates are produced for free when using
 simplex method, one should just get them out - do solvers interfaces from
 Sage support providing them?

 Commercial solvers like CPLEX and GUROBI do provide these certs, as well
 as CVXOPT, but GLPK apparently not, cf https://lists.gnu.org/archive/html
 /help-glpk/2010-11/msg00062.html
 Apparently this is still the case, although the latter conversation took
 place in 2010.

 Not sure about PPL.

--
Ticket URL: <http://trac.sagemath.org/ticket/17867#comment:12>
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