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On sequencing with earliest starts and due dates with application to computing bounds for the (n/m/G/Fmax) problem

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  • Paul Bratley
  • Michael Florian
  • Pierre Robillard

Abstract

Recent efforts to improve lower bounds in implicit enumeration algorithms for the general (n/m/G/Fmax) sequencing problem have been directed to the solution of an auxiliary single machine problem that results from the relaxation of some of the interference constraints. We develop an algorithm that obtains optimal and near optimal solutions for this relaxed problem with relatively little computational effort. We report on computational results achieved when this method is used to obtain lower bounds for the general problem. Finally, we show the equivalence of this problem to a single machine sequencing problem with earliest start and due date constraints where the objective is to minimize the maximum lateness.

Suggested Citation

  • Paul Bratley & Michael Florian & Pierre Robillard, 1973. "On sequencing with earliest starts and due dates with application to computing bounds for the (n/m/G/Fmax) problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(1), pages 57-67, March.
    • Handle: RePEc:wly:navlog:v:20:y:1973:i:1:p:57-67
    DOI: 10.1002/nav.3800200106
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    Cited by:

    1. V. Jorge Leon & S. David Wu, 1992. "On scheduling with ready‐times, due‐dates and vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 53-65, February.
    2. Edzard Weber & Anselm Tiefenbacher & Norbert Gronau, 2019. "Need for Standardization and Systematization of Test Data for Job-Shop Scheduling," Data, MDPI, vol. 4(1), pages 1-21, February.
    3. Alejandro Reynoso & Nodari Vakhania, 2021. "Theoretical and practical issues in single-machine scheduling with two job release and delivery times," Journal of Scheduling, Springer, vol. 24(6), pages 615-647, December.

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