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Total completion time minimization on multiple machines subject to machine availability and makespan constraints

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  • Huo, Yumei
  • Zhao, Hairong

Abstract

This paper studies preemptive bi-criteria scheduling on m parallel machines with machine unavailable intervals. The goal is to minimize the total completion time subject to the constraint that the makespan is at most a constant T. We study the unavailability model such that the number of available machines cannot go down by 2 within any period of pmax where pmax is the maximum processing time among all jobs. We show that there is an optimal polynomial time algorithm.

Suggested Citation

  • Huo, Yumei & Zhao, Hairong, 2015. "Total completion time minimization on multiple machines subject to machine availability and makespan constraints," European Journal of Operational Research, Elsevier, vol. 243(2), pages 547-554.
    • Handle: RePEc:eee:ejores:v:243:y:2015:i:2:p:547-554
    DOI: 10.1016/j.ejor.2014.12.012
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    References listed on IDEAS

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    1. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    2. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    3. Dileepan, P & Sen, T, 1988. "Bicriterion static scheduling research for a single machine," Omega, Elsevier, vol. 16(1), pages 53-59.
    4. J N D Gupta & J C Ho & S Webster, 2000. "Bicriteria optimisation of the makespan and mean flowtime on two identical parallel machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(11), pages 1330-1339, November.
    5. Robert McNaughton, 1959. "Scheduling with Deadlines and Loss Functions," Management Science, INFORMS, vol. 6(1), pages 1-12, October.
    6. Chen, Chuen-Lung & Bulfin, Robert L., 1993. "Complexity of single machine, multi-criteria scheduling problems," European Journal of Operational Research, Elsevier, vol. 70(1), pages 115-125, October.
    7. Chung-Yee Lee & Lei Lei & Michael Pinedo, 1997. "Current trends in deterministic scheduling," Annals of Operations Research, Springer, vol. 70(0), pages 1-41, April.
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    Cited by:

    1. Huo, Yumei & Zhao, Hairong, 2018. "Two machine scheduling subject to arbitrary machine availability constraint," Omega, Elsevier, vol. 76(C), pages 128-136.
    2. Jiang, Xiaojuan & Lee, Kangbok & Pinedo, Michael L., 2023. "Approximation algorithms for bicriteria scheduling problems on identical parallel machines for makespan and total completion time," European Journal of Operational Research, Elsevier, vol. 305(2), pages 594-607.
    3. Yumei Huo, 2019. "Parallel machine makespan minimization subject to machine availability and total completion time constraints," Journal of Scheduling, Springer, vol. 22(4), pages 433-447, August.
    4. Zhang, Junfeng & Zhao, Pengli & Zhang, Yu & Dai, Ximei & Sui, Dong, 2020. "Criteria selection and multi-objective optimization of aircraft landing problem," Journal of Air Transport Management, Elsevier, vol. 82(C).
    5. Chen, Bo & Zhang, Xiandong, 2019. "Scheduling with time-of-use costs," European Journal of Operational Research, Elsevier, vol. 274(3), pages 900-908.
    6. Lin, Ran & Wang, Jun-Qiang & Liu, Zhixin & Xu, Jun, 2023. "Best possible algorithms for online scheduling on identical batch machines with periodic pulse interruptions," European Journal of Operational Research, Elsevier, vol. 309(1), pages 53-64.

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