doi:10.1287/moor.1090.0392
Faenza, Y.
Kaibel, V.
Extended Formulations for Packing and Partitioning Orbitopes
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http://infoscience.epfl.ch/record/181874/files/0806.0233v1.pdf
We give compact extended formulations for the packing and partitioning orbitopes (with respect to the full symmetric group) described and analyzed in Kaibel and Pfetsch [Kaibel, V., M. E. Pfetsch. 2008. Packing and partitioning orbitopes. Math. Programming, Ser. A 114(1) 1–36]. These polytopes are the convex hulls of all 0/1-matrices with lexicographically sorted columns and at most, respectively, exactly one 1-entry per row. They are important objects for symmetry reduction in certain integer programs. Using the extended formulations, we also derive a rather simple proof of the fact established in the paper mentioned above, that basically shifted-column inequalities suffice to describe those orbitopes linearly.
2012-10-25T11:15:13Z
http://infoscience.epfl.ch/record/181874
http://infoscience.epfl.ch/record/181874
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