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Minimizing total completion time for UET tasks with release time and outtree precedence constraints

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  • Yumei Huo
  • Joseph Leung

Abstract

Brucker et al. (Math Methods Oper Res 56: 407–412, 2003) have given an O(n 2 )-time algorithm for the problems $$P \mid p_{j}=1, r_{j}$$ , outtree $$\mid \sum C_{j}$$ and $$P \mid pmtn, p_{j}=1, r_{j}$$ , outtree $$\mid \sum C_{j}$$ . In this note, we show that their algorithm admits an O(n log n)-time implementation. Copyright Springer-Verlag 2005

Suggested Citation

  • Yumei Huo & Joseph Leung, 2005. "Minimizing total completion time for UET tasks with release time and outtree precedence constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 62(2), pages 275-279, November.
    • Handle: RePEc:spr:mathme:v:62:y:2005:i:2:p:275-279
    DOI: 10.1007/s00186-005-0009-5
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    References listed on IDEAS

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    1. Peter Brucker & Johann Hurink & Sigrid Knust, 2003. "A polynomial algorithm for P | p j =1, r j , outtree | ∑ C j," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(3), pages 407-412, January.
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    Cited by:

    1. Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2021. "Ideal schedules in parallel machine settings," European Journal of Operational Research, Elsevier, vol. 290(2), pages 422-434.
    2. Bo Chen & Ed Coffman & Dariusz Dereniowski & Wiesław Kubiak, 2016. "Normal-form preemption sequences for an open problem in scheduling theory," Journal of Scheduling, Springer, vol. 19(6), pages 701-728, December.
    3. D. Prot & O. Bellenguez-Morineau, 2018. "A survey on how the structure of precedence constraints may change the complexity class of scheduling problems," Journal of Scheduling, Springer, vol. 21(1), pages 3-16, February.

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    2. Bo Chen & Ed Coffman & Dariusz Dereniowski & Wiesław Kubiak, 2016. "Normal-form preemption sequences for an open problem in scheduling theory," Journal of Scheduling, Springer, vol. 19(6), pages 701-728, December.

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