On Mon, 19 Aug 2013, Matteo Fischetti DEI wrote:

Just a last comment: in case of (primal) degeneracy, a vertex x* can be optimal but a given associated basis B can still lead to negative reduced costs, i.e., B can be "nonoptimal". Indeed, the test on reduced costs is only a sufficient condition that can be violated by several bases B associated to an optimal vertex x*.

I might hvae been too subtle, but that is why I wrote
"vertex ... might ... bases."

Il 19/08/2013 18:14, Michael Hennebry ha scritto:
The test for optimality requires testing up to n rays.
If the vertex is optimal, there might be no need consider other bases.
Performing minimum ratio tests for O(n)
variables might involve O(m*n) bases.

--
Michael   [email protected]
"On Monday, I'm gonna have to tell my kindergarten class,
whom I teach not to run with scissors,
that my fiance ran me through with a broadsword."  --  Lily

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