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Some simple scheduling algorithms

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  • W. A. Horn

Abstract

This paper considers situations in which jobs require only one operation on a single machine, or on one of a set of identical machines. Penalty‐free interruption is allowed. Some simple algorithms are given for finding optimum schedules to minimize maximum lateness and total delay, for the single‐machine case, and maximum lateness for a restricted multi‐machine case. A simple flow problem formulation permits minimizing maximum lateness for the more general multimachine case.

Suggested Citation

  • W. A. Horn, 1974. "Some simple scheduling algorithms," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(1), pages 177-185, March.
    • Handle: RePEc:wly:navlog:v:21:y:1974:i:1:p:177-185
    DOI: 10.1002/nav.3800210113
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    Cited by:

    1. Christian L. Cesar & Peter G. Jessel, 1992. "Real‐time task scheduling with overheads considered," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 247-264, March.
    2. T.C.E. Cheng & Svetlana A. Kravchenko & Bertrand M.T. Lin, 2017. "Preemptive parallel‐machine scheduling with a common server to minimize makespan," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(5), pages 388-398, August.
    3. Johnny C. Ho & Yih‐Long Chang, 1991. "Heuristics for minimizing mean tardiness for m parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 367-381, June.
    4. Rubing Chen & Jinjiang Yuan & C.T. Ng & T.C.E. Cheng, 2019. "Single‐machine scheduling with deadlines to minimize the total weighted late work," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 582-595, October.
    5. Xiaohu Wu & Patrick Loiseau, 2024. "Algorithms for Scheduling Deadline-Sensitive Malleable Tasks," SN Operations Research Forum, Springer, vol. 5(2), pages 1-38, June.
    6. Akiyoshi Shioura & Natalia V. Shakhlevich & Vitaly A. Strusevich, 2020. "Scheduling problems with controllable processing times and a common deadline to minimize maximum compression cost," Journal of Global Optimization, Springer, vol. 76(3), pages 471-490, March.
    7. Alexander Grigoriev & Martijn Holthuijsen & Joris van de Klundert, 2005. "Basic scheduling problems with raw material constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 527-535, September.
    8. Joseph Y.‐T. Leung & Michael Pinedo, 2004. "A note on scheduling parallel machines subject to breakdown and repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(1), pages 60-71, February.
    9. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    10. Mehdi Ghiyasvand, 2015. "Solving the parametric bipartite maximum flow problem in unbalanced and closure bipartite graphs," Annals of Operations Research, Springer, vol. 229(1), pages 397-408, June.
    11. Bruno Gaujal & Alain Girault & Stephan Plassart, 2020. "Dynamic speed scaling minimizing expected energy consumption for real-time tasks," Journal of Scheduling, Springer, vol. 23(5), pages 555-574, October.
    12. Akiyoshi Shioura & Natalia V. Shakhlevich & Vitaly A. Strusevich, 2017. "Machine Speed Scaling by Adapting Methods for Convex Optimization with Submodular Constraints," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 724-736, November.
    13. Shi-Sheng Li & Ren-Xia Chen, 2023. "Competitive two-agent scheduling with release dates and preemption on a single machine," Journal of Scheduling, Springer, vol. 26(3), pages 227-249, June.
    14. Nodari Vakhania, 2019. "Dynamic Restructuring Framework for Scheduling with Release Times and Due-Dates," Mathematics, MDPI, vol. 7(11), pages 1-42, November.

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