#18735: MixedIntegerLinearProgram: Reconstruct exact rational basic solution
---------------------------+----------------------------------
   Reporter:  mkoeppe      |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.8
  Component:  numerical    |         Keywords:  lp
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:  #18685, #18688
   Stopgaps:               |
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 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.

--
Ticket URL: <http://trac.sagemath.org/ticket/18735>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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