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Single-Machine Scheduling with Release Times and Tails

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  • Nodari Vakhania

Abstract

We study the problem of scheduling jobs with release times and tails on a single machine with the objective to minimize the makespan. This problem is strongly NP-hard, however it is known to be polynomially solvable if all jobs have equal processing time P. We generalize this result and suggest an O(n 2 log nlog P) algorithm for the case when the processing times of some jobs are restricted to either P or 2P. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Nodari Vakhania, 2004. "Single-Machine Scheduling with Release Times and Tails," Annals of Operations Research, Springer, vol. 129(1), pages 253-271, July.
    • Handle: RePEc:spr:annopr:v:129:y:2004:i:1:p:253-271:10.1023/b:anor.0000030692.69147.e2
    DOI: 10.1023/B:ANOR.0000030692.69147.e2
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    Citations

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    Cited by:

    1. Li Kai & Li Hui & Cheng Bayi & Luo Qing, 2015. "Uniform Parallel Machine Scheduling Problem with Controllable Delivery Times," Journal of Systems Science and Information, De Gruyter, vol. 3(6), pages 525-537, December.
    2. Nodari Vakhania & Frank Werner, 2021. "Branch Less, Cut More and Schedule Jobs with Release and Delivery Times on Uniform Machines," Mathematics, MDPI, vol. 9(6), pages 1-18, March.
    3. Federico Alonso-Pecina & José Alberto Hernández & José Maria Sigarreta & Nodari Vakhania, 2020. "Fast Approximation for Scheduling One Machine," Mathematics, MDPI, vol. 8(9), pages 1-18, September.
    4. Li, Yantong & Côté, Jean-François & Coelho, Leandro C. & Zhang, Chuang & Zhang, Shuai, 2023. "Order assignment and scheduling under processing and distribution time uncertainty," European Journal of Operational Research, Elsevier, vol. 305(1), pages 148-163.
    5. Nodari Vakhania, 2019. "Dynamic Restructuring Framework for Scheduling with Release Times and Due-Dates," Mathematics, MDPI, vol. 7(11), pages 1-42, November.
    6. 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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