The disjunctive procedure and blocker duality

  • Authors:
  • Néstor E. Aguilera;Mariana S. Escalante;Graciela L. Nasini

  • Affiliations:
  • CONICET and UNL, IMAL/INTEC, Güemes 3450, 3000 Santa Fe, Argentina;CONICET and UNR, Depto. de Matemática Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Av. Pellegrini 250, 2000 Rosario, Argentina;UNR, Depto. de Matemática Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Av. Pellegrini 250, 2000 Rosario, Argentina

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2002

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Abstract

In this paper we relate two rather different branches of polyhedral theory in linear optimization problems: the blocking type polyhedra and the disjunctive procedure of Balas et al. For this purpose, we define a disjunctive procedure over blocking type polyhedra with vertices in [0, 1]n, study its properties, and analyze its behavior under blocker duality. We compare the indices of the procedure over a pair of blocking clutter polyhedra, obtaining that they coincide.