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On Sequencing n Jobs on One Machine to Minimize the Number of Late Jobs

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  • William L. Maxwell

    (University of Chicago)

Abstract

An integer programming formulation for the problem of sequencing jobs on a single machine to minimize the number of late jobs is developed. The structure of the formulation is exploited to obtain the easily stated algorithm (previously developed by Moore [5]) for the solution of the problem and then to compare it to other similar allocation problems, among which is the Knapsack problem.

Suggested Citation

  • William L. Maxwell, 1970. "On Sequencing n Jobs on One Machine to Minimize the Number of Late Jobs," Management Science, INFORMS, vol. 16(5), pages 295-297, January.
    • Handle: RePEc:inm:ormnsc:v:16:y:1970:i:5:p:295-297
    DOI: 10.1287/mnsc.16.5.295
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    Cited by:

    1. Lushchakova, Irene N., 2000. "Minimizing functions of infeasibilities in a two-machine flow shop," European Journal of Operational Research, Elsevier, vol. 121(2), pages 380-393, March.
    2. Timkovsky, Vadim G., 2003. "Identical parallel machines vs. unit-time shops and preemptions vs. chains in scheduling complexity," European Journal of Operational Research, Elsevier, vol. 149(2), pages 355-376, September.
    3. Klaus Heeger & Danny Hermelin & George B. Mertzios & Hendrik Molter & Rolf Niedermeier & Dvir Shabtay, 2023. "Equitable scheduling on a single machine," Journal of Scheduling, Springer, vol. 26(2), pages 209-225, April.

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