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Multitasking scheduling with alternate periods

Author

Listed:
  • Yujia Huo

    (Qufu Normal University)

  • Cuixia Miao

    (Qufu Normal University)

  • Fanyu Kong

    (Qufu Normal University)

  • Yuzhong Zhang

    (Qufu Normal University)

Abstract

In this paper, we consider the multitasking scheduling with alternate odd-period and even-period. For the minimization of makespan on one single machine, we present a 2-approximation algorithm for the general case and a $$\frac{4}{3}$$ 4 3 -approximation algorithm for a special case when jobs have identical release dates. And we prove that the problem is strongly NP-hard when jobs have different release dates. For the minimization of makespan on identical parallel machines, we present a $$(\frac{5}{2}-\frac{1}{m})$$ ( 5 2 - 1 m ) -approximation algorithm for the general case and a pseudo-polynomial time algorithm when the number of machines is constant. Furthermore, we prove that the single-machine scheduling of minimizing the lateness is strongly NP-hard.

Suggested Citation

  • Yujia Huo & Cuixia Miao & Fanyu Kong & Yuzhong Zhang, 2023. "Multitasking scheduling with alternate periods," Journal of Combinatorial Optimization, Springer, vol. 45(3), pages 1-13, April.
    • Handle: RePEc:spr:jcomop:v:45:y:2023:i:3:d:10.1007_s10878-023-01020-x
    DOI: 10.1007/s10878-023-01020-x
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    References listed on IDEAS

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    1. Ming Liu & Shijin Wang & Feifeng Zheng & Chengbin Chu, 2017. "Algorithms for the joint multitasking scheduling and common due date assignment problem," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6052-6066, October.
    2. Zhanguo Zhu & Jinlin Li & Chengbin Chu, 2017. "Multitasking Scheduling Problems with Deterioration Effect," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, April.
    3. Yongjian Yang & Guangqiang Yin & Chunyu Wang & Yunqiang Yin, 2022. "Due date assignment and two-agent scheduling under multitasking environment," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2207-2223, November.
    4. Zhanguo Zhu & Feifeng Zheng & Chengbin Chu, 2017. "Multitasking scheduling problems with a rate-modifying activity," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 296-312, January.
    Full references (including those not matched with items on IDEAS)

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