#18735: MixedIntegerLinearProgram: Reconstruct exact rational/algebraic basic
solution
----------------------------------+------------------------
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:
----------------------------------+------------------------
Description changed by mkoeppe:
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.
>
> This would be particularly interesting in conjunction with #18764. (But
> see #18765 for a different approach.)
>
> #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.
This would be particularly interesting in conjunction with #18764. (But
see #18765 for a different approach.)
#18685 provides the necessary basis-status functions (for the GLPK
backend).
#18688 provides a solver-independent interface to these functions.
The reconstructed solution could be presented via #20296.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/18735#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
