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

Boris Detienne; Eric Pinson; David Rivreau

doi:10.1016/j.ejor.2009.02.005

Journal articles

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

Boris Detienne ¹ Eric Pinson ^{2, 3} David Rivreau ^{2, 3}

1 SFL-ENSMSE - Département Sciences de la Fabrication et Logistique

2 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

3 IMA - Institut de Mathématiques Appliquées

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 1000 seconds.

Keywords : Scheduling Just-in-time Elimination rules Lagrangian relaxation Exact method

Document type :

Journal articles

Domain :

Computer Science [cs] / Operations Research [cs.RO]

Complete list of metadatas

https://hal-emse.ccsd.cnrs.fr/emse-00551467
Contributor : Stéphane Dauzère-Pérès <>
Submitted on : Monday, January 3, 2011 - 5:54:59 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:22 PM

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

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

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