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Minimizing the makespan in a single-machine scheduling problem with the cyclic process of an aging effect

Author

Listed:
  • W-H Kuo

    (National Formosa University)

  • D-L Yang

    (National Formosa University)

Abstract

In this paper, we study a single-machine scheduling problem with the cyclic process of an aging effect. This phenomenon appears in many realistic production processes. Thus, it is important to consider the phenomenon in scheduling problems. We analyse the single-machine makespan scheduling problem with two different aging effect models and provide a polynomial time algorithm to solve the problem.

Suggested Citation

  • W-H Kuo & D-L Yang, 2008. "Minimizing the makespan in a single-machine scheduling problem with the cyclic process of an aging effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 416-420, March.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:3:d:10.1057_palgrave.jors.2602363
    DOI: 10.1057/palgrave.jors.2602363
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    References listed on IDEAS

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    1. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    2. A Bachman & A Janiak, 2004. "Scheduling jobs with position-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 257-264, March.
    3. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    4. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
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    Citations

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    Cited by:

    1. Yang, Suh-Jenq & Yang, Dar-Li, 2010. "Minimizing the makespan on single-machine scheduling with aging effect and variable maintenance activities," Omega, Elsevier, vol. 38(6), pages 528-533, December.
    2. Radosław Rudek, 2012. "Scheduling problems with position dependent job processing times: computational complexity results," Annals of Operations Research, Springer, vol. 196(1), pages 491-516, July.
    3. A Janiak & R Rudek, 2010. "Scheduling jobs under an aging effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1041-1048, June.
    4. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.
    5. A. Beynaghi & F. Moztarzadeh & A. Shahmardan & R. Alizadeh & J. Salimi & M. Mozafari, 2019. "Makespan minimization for batching work and rework process on a single facility with an aging effect: a hybrid meta-heuristic algorithm for sustainable production management," Journal of Intelligent Manufacturing, Springer, vol. 30(1), pages 33-45, January.
    6. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Single machine scheduling with general positional deterioration and rate-modifying maintenance," Omega, Elsevier, vol. 40(6), pages 791-804.
    7. Delorme, Maxence & Iori, Manuel & Mendes, Nilson F.M., 2021. "Solution methods for scheduling problems with sequence-dependent deterioration and maintenance events," European Journal of Operational Research, Elsevier, vol. 295(3), pages 823-837.
    8. Finke, Gerd & Gara-Ali, Ahmed & Espinouse, Marie-Laure & Jost, Vincent & Moncel, Julien, 2017. "Unified matrix approach to solve production-maintenance problems on a single machine," Omega, Elsevier, vol. 66(PA), pages 140-146.
    9. Yang, Dar-Li & Lai, Chien-Jung & Yang, Suh-Jenq, 2014. "Scheduling problems with multiple due windows assignment and controllable processing times on a single machine," International Journal of Production Economics, Elsevier, vol. 150(C), pages 96-103.
    10. Alan J. Soper & Vitaly A. Strusevich, 2020. "Refined conditions for V-shaped optimal sequencing on a single machine to minimize total completion time under combined effects," Journal of Scheduling, Springer, vol. 23(6), pages 665-680, December.
    11. Pei, Jun & Liu, Xinbao & Fan, Wenjuan & Pardalos, Panos M. & Lu, Shaojun, 2019. "A hybrid BA-VNS algorithm for coordinated serial-batching scheduling with deteriorating jobs, financial budget, and resource constraint in multiple manufacturers," Omega, Elsevier, vol. 82(C), pages 55-69.
    12. Kabir Rustogi & Vitaly A. Strusevich, 2017. "Single machine scheduling with a generalized job-dependent cumulative effect," Journal of Scheduling, Springer, vol. 20(6), pages 583-592, December.

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