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A Generalization of Odd Set Inequalities for the Set Packing Problem

In: Operations Research Proceedings 2013

Author

Listed:
  • Olga Heismann

    (Zuse Institute Berlin)

  • Ralf Borndörfer

    (Zuse Institute Berlin)

Abstract

The set packing problem, sometimes also called the stable set problem, is a well-known NP-hard problem in combinatorial optimization with a wide range of applications and an interesting polyhedral structure, that has been the subject of intensive study. We contribute to this field by showing how, employing cliques, odd set inequalities for the matching problem can be generalized to valid inequalities for the set packing polytope with a clear combinatorial meaning.

Suggested Citation

  • Olga Heismann & Ralf Borndörfer, 2014. "A Generalization of Odd Set Inequalities for the Set Packing Problem," Operations Research Proceedings, in: Dennis Huisman & Ilse Louwerse & Albert P.M. Wagelmans (ed.), Operations Research Proceedings 2013, edition 127, pages 193-199, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-07001-8_26
    DOI: 10.1007/978-3-319-07001-8_26
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