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Zero-Lifting for Integer Block Structured Problems

Author

Listed:
  • Giovanni Felici

    (Istituto di Analisi dei Sistemi ed Informatica “Antonio Ruberti”)

  • Claudio Gentile

    (Istituto di Analisi dei Sistemi ed Informatica “Antonio Ruberti”)

Abstract

This paper deals with the relations between the polyhedron described by the inequalities of a block structured problem and the polyhedra described by the inequalities of the single blocks. In particular, classes of block structured problems are described for which zero-lifting of facet inducing inequalities of a single block yields facet inducing inequalities for the whole problem. Some applications are discussed.

Suggested Citation

  • Giovanni Felici & Claudio Gentile, 2003. "Zero-Lifting for Integer Block Structured Problems," Journal of Combinatorial Optimization, Springer, vol. 7(2), pages 161-167, June.
    • Handle: RePEc:spr:jcomop:v:7:y:2003:i:2:d:10.1023_a:1024423013607
    DOI: 10.1023/A:1024423013607
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    References listed on IDEAS

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    1. Laurence A. Wolsey, 1976. "Technical Note—Facets and Strong Valid Inequalities for Integer Programs," Operations Research, INFORMS, vol. 24(2), pages 367-372, April.
    2. WOLSEY, Laurence A., 1976. "Facets and strong valid inequalities for integer programs," LIDAM Reprints CORE 246, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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