The disjunctive procedure and blocker duality

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The disjunctive procedure and blocker duality

In this paper we define a disjunctive procedure over blocking type polyhedra with vertices in [0, 1], study its properties, and analize its behavior under blocker duality. We compare the indices of the procedure over a pair of blocking clutter polyhedra, obtaining that they coincide.

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Note on: N.E. Aguilera, M.S. Escalante, G.L. Nasini, "The disjunctive procedure and blocker duality"

Aguilera et al. [DiscreteAppl.Math. 121 (2002) 1–13] give a generalization of a theorem of Lehman through an extension P̄j of the disjunctive procedure defined by Balas, Ceria and Cornuéjols. This generalization can be formulated as (A) For every clutter C, the disjunctive index of its set covering polyhedron Q(C) coincides with the disjunctive index of the set covering polyhedron of its blocker...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2002

ISSN: 0166-218X

DOI: 10.1016/s0166-218x(01)00242-6