IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v26y2013i3d10.1007_s10878-011-9415-1.html
   My bibliography  Save this article

Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration

Author

Listed:
  • Min Ji

    (Contemporary Business and Trade Research Center, Zhejiang Gongshang University)

  • Chou-Jung Hsu

    (Nan Kai University of Technology)

  • Dar-Li Yang

    (National Formosa University)

Abstract

This article studies a single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity. We assume that after maintenance activity, the machine will revert to its initial condition and the aging effects will start anew. Moreover, due to the restriction of budget of maintenance, the limitation of the maintenance frequency on the machine is assumed to be known in advance. The optional maintenance activity of this study means that the starting time of the maintenance activity is unknown in advance. It can be scheduled immediately after the processing of any job that has been completed. Therefore, the planner must to make decision on whether or when to schedule the maintenance activity during the scheduling horizon to optimal the performance measures. The objective is to minimize the makespan. We first show that the addressed problem is NP-hard in the strong sense. Then a fully polynomial-time approximation scheme (FPTAS) for the proposed problem is presented.

Suggested Citation

  • Min Ji & Chou-Jung Hsu & Dar-Li Yang, 2013. "Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 437-447, October.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:3:d:10.1007_s10878-011-9415-1
    DOI: 10.1007/s10878-011-9415-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-011-9415-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-011-9415-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gawiejnowicz, Stanislaw & Kononov, Alexander, 2010. "Complexity and approximability of scheduling resumable proportionally deteriorating jobs," European Journal of Operational Research, Elsevier, vol. 200(1), pages 305-308, January.
    2. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    3. Ng, C.T. & Barketau, M.S. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2010. ""Product Partition" and related problems of scheduling and systems reliability: Computational complexity and approximation," European Journal of Operational Research, Elsevier, vol. 207(2), pages 601-604, December.
    4. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    5. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    6. Li, Shisheng & Ng, C.T. & Cheng, T.C.E. & Yuan, Jinjiang, 2011. "Parallel-batch scheduling of deteriorating jobs with release dates to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 210(3), pages 482-488, May.
    7. Mikhail Y. Kovalyov & Wieslaw Kubiak, 1999. "A Fully Polynomial Approximation Scheme for the Weighted Earliness–Tardiness Problem," Operations Research, INFORMS, vol. 47(5), pages 757-761, October.
    8. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.
    9. 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.
    10. 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.
    11. 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.
    12. Wu, Chin-Chia & Lee, Wen-Chiung, 2008. "Single-machine group-scheduling problems with deteriorating setup times and job-processing times," International Journal of Production Economics, Elsevier, vol. 115(1), pages 128-133, September.
    13. W-H Kuo & D-L Yang, 2011. "A note on due-date assignment and single-machine scheduling with deteriorating jobs and learning effects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 206-210, January.
    14. Wen-Hung Kuo & Dar-Li Yang, 2011. "Single-machine scheduling with deteriorating jobs," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(1), pages 132-139.
    15. Gawiejnowicz, Stanislaw & Kurc, Wieslaw & Pankowska, Lidia, 2009. "Equivalent time-dependent scheduling problems," European Journal of Operational Research, Elsevier, vol. 196(3), pages 919-929, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xinyu Sun & Tao Liu & Xin-Na Geng & Yang Hu & Jing-Xiao Xu, 2023. "Optimization of scheduling problems with deterioration effects and an optional maintenance activity," Journal of Scheduling, Springer, vol. 26(3), pages 251-266, June.
    2. Dujuan Wang & Feng Liu & Yunqiang Yin & Jianjun Wang & Yanzhang Wang, 2015. "Prioritized surgery scheduling in face of surgeon tiredness and fixed off-duty period," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 967-981, November.
    3. Gawiejnowicz, Stanisław & Kurc, Wiesław, 2015. "Structural properties of time-dependent scheduling problems with the lp norm objective," Omega, Elsevier, vol. 57(PB), pages 196-202.
    4. Wang, Ting & Baldacci, Roberto & Lim, Andrew & Hu, Qian, 2018. "A branch-and-price algorithm for scheduling of deteriorating jobs and flexible periodic maintenance on a single machine," European Journal of Operational Research, Elsevier, vol. 271(3), pages 826-838.
    5. Sheng Yu, 2015. "An optimal single-machine scheduling with linear deterioration rate and rate-modifying activities," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 242-252, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.
    2. Cheng, T.C.E. & Shafransky, Y. & Ng, C.T., 2016. "An alternative approach for proving the NP-hardness of optimization problems," European Journal of Operational Research, Elsevier, vol. 248(1), pages 52-58.
    3. Ma, Ran & Tao, Jiping & Yuan, Jinjiang, 2016. "Online scheduling with linear deteriorating jobs to minimize the total weighted completion time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 570-583.
    4. Dar-Li Yang & Wen-Hung Kuo, 2009. "Single-machine scheduling with both deterioration and learning effects," Annals of Operations Research, Springer, vol. 172(1), pages 315-327, November.
    5. Wang, Ting & Baldacci, Roberto & Lim, Andrew & Hu, Qian, 2018. "A branch-and-price algorithm for scheduling of deteriorating jobs and flexible periodic maintenance on a single machine," European Journal of Operational Research, Elsevier, vol. 271(3), pages 826-838.
    6. 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.
    7. Li, Shisheng & Ng, C.T. & Cheng, T.C.E. & Yuan, Jinjiang, 2011. "Parallel-batch scheduling of deteriorating jobs with release dates to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 210(3), pages 482-488, May.
    8. Qian, Jianbo & Steiner, George, 2013. "Fast algorithms for scheduling with learning effects and time-dependent processing times on a single machine," European Journal of Operational Research, Elsevier, vol. 225(3), pages 547-551.
    9. Jun Pei & Xinbao Liu & Panos M. Pardalos & Athanasios Migdalas & Shanlin Yang, 2017. "Serial-batching scheduling with time-dependent setup time and effects of deterioration and learning on a single-machine," Journal of Global Optimization, Springer, vol. 67(1), pages 251-262, January.
    10. Wang, Ji-Bo, 2007. "Single-machine scheduling problems with the effects of learning and deterioration," Omega, Elsevier, vol. 35(4), pages 397-402, August.
    11. 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.
    12. Wang, Xiuli & Edwin Cheng, T.C., 2007. "Single-machine scheduling with deteriorating jobs and learning effects to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 178(1), pages 57-70, April.
    13. Florian Jaehn & Helmut A. Sedding, 2016. "Scheduling with time-dependent discrepancy times," Journal of Scheduling, Springer, vol. 19(6), pages 737-757, December.
    14. Zhang Xingong & Wang Yong & Bai Shikun, 2016. "Single-machine group scheduling problems with deteriorating and learning effect," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2402-2410, July.
    15. Chuanli Zhao & Hengyong Tang, 2016. "Scheduling Deteriorating Jobs with Availability Constraints to Minimize the Makespan," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-10, December.
    16. W-H Kuo & D-L Yang, 2011. "A note on due-date assignment and single-machine scheduling with deteriorating jobs and learning effects," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 206-210, January.
    17. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.
    18. C-C He & C-C Wu & W-C Lee, 2009. "Branch-and-bound and weight-combination search algorithms for the total completion time problem with step-deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(12), pages 1759-1766, December.
    19. Jun Pei & Xinbao Liu & Panos M. Pardalos & Wenjuan Fan & Shanlin Yang, 2017. "Scheduling deteriorating jobs on a single serial-batching machine with multiple job types and sequence-dependent setup times," Annals of Operations Research, Springer, vol. 249(1), pages 175-195, February.
    20. Wen-Hung Wu & Yunqiang Yin & T C E Cheng & Win-Chin Lin & Juei-Chao Chen & Shin-Yi Luo & Chin-Chia Wu, 2017. "A combined approach for two-agent scheduling with sum-of-processing-times-based learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(2), pages 111-120, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jcomop:v:26:y:2013:i:3:d:10.1007_s10878-011-9415-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.