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Two-parallel machines scheduling with rate-modifying activities to minimize total completion time

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  • Zhao, Chuan-Li
  • Tang, Heng-Yong
  • Cheng, Cong-Dian

Abstract

This paper considers the two-parallel machines scheduling problem with rate-modifying activities. In this model, each machine has a rate-modifying activity that can change the processing rate of machine under consideration. Hence the actual processing times of jobs vary depending on whether the job is scheduled before or after the rate-modifying activity. We need to make a decision on when to schedule the rate-modifying activities and the sequence of jobs to minimize some objective function. We provide polynomial and pseudo-polynomial time algorithms to solve the total completion time minimization problem and total weighted completion time minimization problem under agreeable ratio condition.

Suggested Citation

  • Zhao, Chuan-Li & Tang, Heng-Yong & Cheng, Cong-Dian, 2009. "Two-parallel machines scheduling with rate-modifying activities to minimize total completion time," European Journal of Operational Research, Elsevier, vol. 198(1), pages 354-357, October.
    • Handle: RePEc:eee:ejores:v:198:y:2009:i:1:p:354-357
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    References listed on IDEAS

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    1. Lee, C. -Y. & Leon, V. J., 2001. "Machine scheduling with a rate-modifying activity," European Journal of Operational Research, Elsevier, vol. 128(1), pages 119-128, January.
    2. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
    3. G Mosheiov, 2001. "Parallel machine scheduling with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(10), pages 1165-1169, October.
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    Cited by:

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    2. Chun-Lai Liu & Jian-Jun Wang, 2016. "Unrelated Parallel-Machine Scheduling with Controllable Processing Times and Impact of Deteriorating Maintenance Activities under Consideration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-16, February.
    3. Geurtsen, M. & Didden, Jeroen B.H.C. & Adan, J. & Atan, Z. & Adan, I., 2023. "Production, maintenance and resource scheduling: A review," European Journal of Operational Research, Elsevier, vol. 305(2), pages 501-529.
    4. Phosavanh, Johnson & Oron, Daniel, 2024. "Two-agent single-machine scheduling with a rate-modifying activity," European Journal of Operational Research, Elsevier, vol. 312(3), pages 866-876.
    5. Cheng, T.C.E. & Yang, Suh-Jenq & Yang, Dar-Li, 2012. "Common due-window assignment and scheduling of linear time-dependent deteriorating jobs and a deteriorating maintenance activity," International Journal of Production Economics, Elsevier, vol. 135(1), pages 154-161.
    6. Mor, Baruch & Mosheiov, Gur, 2014. "Batch scheduling with a rate-modifying maintenance activity to minimize total flowtime," International Journal of Production Economics, Elsevier, vol. 153(C), pages 238-242.
    7. Gur Mosheiov & Daniel Oron, 2020. "Scheduling problems with a weight-modifying-activity," Annals of Operations Research, Springer, vol. 295(2), pages 737-745, December.

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