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

Boris Detienne, Éric Pinson and David Rivreau

European Journal of Operational Research, 2010, vol. 201, issue 1, 45-54

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.

Keywords: Scheduling; Just-in-time; Elimination; rules; Lagrangian; relaxation; Exact; method (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:201:y:2010:i:1:p:45-54

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