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Lagrangian domain reductions for the single machine earliness-tardiness problem with release dates

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  • Detienne, Boris
  • Pinson, Éric
  • Rivreau, David

Abstract

This paper presents new elimination rules for the single machine problem with general earliness and tardiness penalties subject to release dates. These rules, based on a Lagrangian decomposition, allow to drastically reduce the execution windows of the jobs. We measure the efficiency of these properties by integrating them in a branch-and-bound. Tests show that instances with up to 70 jobs without release dates, and up to 40 jobs with release dates, can be optimally solved within 1000Â seconds.

Suggested Citation

  • Detienne, Boris & Pinson, Éric & Rivreau, David, 2010. "Lagrangian domain reductions for the single machine earliness-tardiness problem with release dates," European Journal of Operational Research, Elsevier, vol. 201(1), pages 45-54, February.
    • Handle: RePEc:eee:ejores:v:201:y:2010:i:1:p:45-54
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    References listed on IDEAS

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    3. Kedad-Sidhoum, Safia & Solis, Yasmin Rios & Sourd, Francis, 2008. "Lower bounds for the earliness-tardiness scheduling problem on parallel machines with distinct due dates," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1305-1316, September.
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