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An Exact Approach to Early/Tardy Scheduling with Release Dates

  • Jorge M. S. Valente

    ()

    (Faculdade de Economia da Universidade do Porto)

  • Rui A. F. S. Alves

    ()

    (Faculdade de Economia da Universidade do Porto)

Registered author(s):

    In this paper we consider the single machine earliness/tardiness scheduling problem with di?erent release dates and no unforced idle time. The problem is decomposed into a weighted earliness subproblem and a weighted tardiness subproblem. Lower bounding procedures are proposed for each of these subproblems, and the lower bound for the original problem is then simply the sum of the lower bounds for the two subproblems. The lower bounds and several versions of a branch-and-bound algorithm are then tested on a set of randomly generated problems, and instances with up to 30 jobs are solved to optimality. To the best of our knowledge, this is the first exact approach for the early/tardy scheduling problem with release dates and no unforced idle time.

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    File URL: http://www.fep.up.pt/investigacao/workingpapers/wp129.pdf
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    Paper provided by Universidade do Porto, Faculdade de Economia do Porto in its series FEP Working Papers with number 129.

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    Length: 17 pages
    Date of creation: May 2003
    Date of revision:
    Handle: RePEc:por:fepwps:129
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    1. Akturk, M. Selim & Ozdemir, Deniz, 2001. "A new dominance rule to minimize total weighted tardiness with unequal release dates," European Journal of Operational Research, Elsevier, vol. 135(2), pages 394-412, December.
    2. Jorge M. S. Valente & Rui A. F. S. Alves, 2003. "Improved Heuristics for the Early/Tardy Scheduling Problem with No Idle Time," FEP Working Papers 126, Universidade do Porto, Faculdade de Economia do Porto.
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