IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v59y2008i6d10.1057_palgrave.jors.2602396.html
   My bibliography  Save this article

A note on due-date assignment and single-machine scheduling with deteriorating jobs

Author

Listed:
  • W-H Kuo

    (National Formosa University)

  • D-L Yang

    (National Formosa University)

Abstract

In this note, we study a single-machine scheduling problem with deteriorating jobs whose processing times are an increasing function of their start times. The objective is to determine the optimal due-date and schedule simultaneously to minimize the total of due-date, earliness and tardiness penalties. We give a concise analysis of the problem and provide a polynomial time algorithm to solve the problem. Moreover, the algorithm can be easily applied to the ‘mirror’ scheduling problem in which the actual processing time of a job is a decreasing function of its starting time.

Suggested Citation

  • W-H Kuo & D-L Yang, 2008. "A note on due-date assignment and single-machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 857-859, June.
  • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:6:d:10.1057_palgrave.jors.2602396
    DOI: 10.1057/palgrave.jors.2602396
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2602396
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/palgrave.jors.2602396?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. Gur Mosheiov, 1991. "V-Shaped Policies for Scheduling Deteriorating Jobs," Operations Research, INFORMS, vol. 39(6), pages 979-991, December.
    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. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    4. T C E Cheng & L Kang & C T Ng, 2004. "Due-date assignment and single machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(2), pages 198-203, February.
    5. Bachman, Aleksander & Janiak, Adam, 2000. "Minimizing maximum lateness under linear deterioration," European Journal of Operational Research, Elsevier, vol. 126(3), pages 557-566, November.
    6. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Cheng, Yushao & Sun, Shijie, 2009. "Scheduling linear deteriorating jobs with rejection on a single machine," European Journal of Operational Research, Elsevier, vol. 194(1), pages 18-27, April.
    3. 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.
    4. 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.
    5. Li, Yongqiang & Li, Gang & Sun, Linyan & Xu, Zhiyong, 2009. "Single machine scheduling of deteriorating jobs to minimize total absolute differences in completion times," International Journal of Production Economics, Elsevier, vol. 118(2), pages 424-429, April.
    6. Wang, Ji-Bo, 2007. "Single-machine scheduling problems with the effects of learning and deterioration," Omega, Elsevier, vol. 35(4), pages 397-402, August.
    7. Wen-Chiung Lee, 2004. "A Note on Deteriorating Jobs and Learning in Single-Machine Scheduling Problems," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 3(1), pages 83-89, April.
    8. T C E Cheng & L Y Kang & C T Ng, 2007. "Due-date assignment and parallel-machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(8), pages 1103-1108, August.
    9. 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.
    10. 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.
    11. 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.
    12. T C E Cheng & L Kang & C T Ng, 2004. "Due-date assignment and single machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(2), pages 198-203, February.
    13. Shakeri, Shakib & Logendran, Rasaratnam, 2007. "A mathematical programming-based scheduling framework for multitasking environments," European Journal of Operational Research, Elsevier, vol. 176(1), pages 193-209, January.
    14. 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.
    15. 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.
    16. Wang, Ji-Bo & Xia, Zun-Quan, 2006. "Flow shop scheduling with deteriorating jobs under dominating machines," Omega, Elsevier, vol. 34(4), pages 327-336, August.
    17. Sun, Lin-Hui & Sun, Lin-Yan & Wang, Ming-Zheng & Wang, Ji-Bo, 2012. "Flow shop makespan minimization scheduling with deteriorating jobs under dominating machines," International Journal of Production Economics, Elsevier, vol. 138(1), pages 195-200.
    18. T.C. Edwin Cheng & Qing Ding & Mikhail Y. Kovalyov & Aleksander Bachman & Adam Janiak, 2003. "Scheduling jobs with piecewise linear decreasing processing times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(6), pages 531-554, September.
    19. Ming Liu & Feifeng Zheng & Chengbin Chu & Jiantong Zhang, 2012. "An FPTAS for uniform machine scheduling to minimize makespan with linear deterioration," Journal of Combinatorial Optimization, Springer, vol. 23(4), pages 483-492, May.
    20. 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.

    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:pal:jorsoc:v:59:y:2008:i:6:d:10.1057_palgrave.jors.2602396. 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.palgrave-journals.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.