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Tight lower bounds by semidefinite relaxations for the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs

In: Operations Research Proceedings 2011

Author

Listed:
  • Celine Gicquel

    (Universite Paris Sud)

  • Abdel Lisser

    (Universite Paris Sud)

Abstract

We study a production planning problem known as the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs.We discuss two alternative QIP formulations for this problem and propose to compute lower bounds using a semidefinite relaxation of the problem rather than a standard linear relaxation. Our computational results show that for a certain class of instances, the proposed solution approach provides lower bounds of significantly better quality.

Suggested Citation

  • Celine Gicquel & Abdel Lisser, 2012. "Tight lower bounds by semidefinite relaxations for the discrete lot-sizing and scheduling problem with sequence-dependent changeover costs," Operations Research Proceedings, in: Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), Operations Research Proceedings 2011, edition 127, pages 421-426, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-29210-1_67
    DOI: 10.1007/978-3-642-29210-1_67
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