This chapter refers to a very interesting combinatorial object called permutahedron. We provide three different compact extended formulations. The first one is based on LP techniques and the second one on a simple projection of a polyhedron whose vertices are integral. Both these formulations require a quadratic number of variables and inequalities. A better compact extended formulation can be obtained via sorting networks for which a$$O(n\log n)$$ formulation can be given.
CITATION STYLE
Lancia, G., & Serafini, P. (2018). The Permutahedron. In EURO Advanced Tutorials on Operational Research (pp. 103–112). Springer Nature. https://doi.org/10.1007/978-3-319-63976-5_7
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