#18735: MixedIntegerLinearProgram: Reconstruct exact rational basic solution
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Reporter: mkoeppe | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: numerical | Resolution:
Keywords: lp | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #18685, #18688 | Stopgaps:
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Old description:
> Sometimes one can use a fast numerical LP solver to solve a problem to
> "optimality",
> then reconstruct the primal and dual solution in rational arithmetic (or
> over whatever base_ring was used...) and in this way prove that this
> basis is indeed optimal.
> MixedIntegerLinearProgram should support this mode of operation.
>
> #18685 provides the necessary basis-status functions (for the GLPK
> backend).
> #18688 provides a solver-independent interface to these functions.
New description:
Sometimes one can use a fast numerical LP solver to solve a problem to
"optimality",
then reconstruct the primal and dual solution in rational arithmetic (or
over whatever base_ring was used...) and in this way prove that this basis
is indeed optimal.
`MixedIntegerLinearProgram` should support this mode of operation.
#18685 provides the necessary basis-status functions (for the GLPK
backend).
#18688 provides a solver-independent interface to these functions.
--
Comment (by dimpase):
On the other hand, a solver-independent way to get an optimal dual
solution is very much welcome, as this is lacking currently, and often
needed.
--
Ticket URL: <http://trac.sagemath.org/ticket/18735#comment:3>
Sage <http://www.sagemath.org>
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