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On the N-Job One-Machine, Sequence-Independent Scheduling Problem with Tardiness Penalties: A Branch-Bound Solution

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  • Joel Shwimer

    (Massachusetts Institute of Technology)

Abstract

An efficient branch-bound algorithm is presented for solving the n-job, sequence-independent, single machine scheduling problem where the goal is to minimize the total penalty costs resulting from tardiness of jobs. The algorithm and computational results are given for the case of linear penalty functions. The modifications needed to handle the case of nonlinear penalty functions are also presented.

Suggested Citation

  • Joel Shwimer, 1972. "On the N-Job One-Machine, Sequence-Independent Scheduling Problem with Tardiness Penalties: A Branch-Bound Solution," Management Science, INFORMS, vol. 18(6), pages 301-313, February.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:6:p:b301-b313
    DOI: 10.1287/mnsc.18.6.B301
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    Cited by:

    1. Ben-Daya, M. & Duffuaa, S. O. & Raouf, A., 1996. "Minimizing mean tardiness subject to unspecified minimum number tardy for a single machine," European Journal of Operational Research, Elsevier, vol. 89(1), pages 100-107, February.
    2. Louis-Philippe Bigras & Michel Gamache & Gilles Savard, 2008. "Time-Indexed Formulations and the Total Weighted Tardiness Problem," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 133-142, February.
    3. Sen, Tapan & Sulek, Joanne M. & Dileepan, Parthasarati, 2003. "Static scheduling research to minimize weighted and unweighted tardiness: A state-of-the-art survey," International Journal of Production Economics, Elsevier, vol. 83(1), pages 1-12, January.
    4. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    5. Holsenback, J. E. & Russell, R. M. & Markland, R. E. & Philipoom, P. R., 1999. "An improved heuristic for the single-machine, weighted-tardiness problem," Omega, Elsevier, vol. 27(4), pages 485-495, August.

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