An exact approach for single machine scheduling with quadratic earliness and tardiness penalties

Jorge M. S. Valente ()
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Jorge M. S. Valente: LIACC/NIAAD, Faculdade de Economia, Universidade do Porto, Portugal

FEP Working Papers from Universidade do Porto, Faculdade de Economia do Porto

Abstract: In this paper, we consider the single machine scheduling problem with quadratic earliness and tardiness costs, and no machine idle time. We propose two different lower bounds, as well as a lower bounding procedure that combines these two bounds. Optimal branch-and-bound algorithms are then presented. These algorithms incorporate the proposed lower bound, as well as an insertion-based dominance test. The lower bounding procedure and the branch-and-bound algorithms are tested on a wide set of randomly generated problems. The computational results show that the branch-and-bound algorithms are capable of optimally solving, within reasonable computation times, instances with up to 20 jobs.

Keywords: scheduling; single machine; quadratic earliness and tardiness; lower bounds; branch-and-bound (search for similar items in EconPapers)
Pages: 27 pages
Date: 2007-02
New Economics Papers: this item is included in nep-cmp
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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