IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v144y2013i1p128-134.html
   My bibliography  Save this article

Minimizing total tardiness for the order scheduling problem

Author

Listed:
  • Lee, Ik Sun

Abstract

This paper considers the order scheduling problem to minimize total tardiness. The system is composed of multiple machines, and each order consists of multiple components, with each component being manufactured on a dedicated machine (specified in advance). The completion time of each order is represented by the time at which all the components comprising the order are completed. The tardiness minimization is the performance objective of this paper. In the problem analysis, this paper first derives some dominance properties to determine the sequence of some orders, and then analyzes problem complexities for some special cases. Three heuristic algorithms are derived with a performance bound. Moreover, three lower bounds of objective are derived and tested along with the derived properties in a branch-and-bound scheme. The overall performances of the proposed property, branch-and-bound and heuristic algorithms are evaluated via numerical experiments.

Suggested Citation

  • Lee, Ik Sun, 2013. "Minimizing total tardiness for the order scheduling problem," International Journal of Production Economics, Elsevier, vol. 144(1), pages 128-134.
    • Handle: RePEc:eee:proeco:v:144:y:2013:i:1:p:128-134
    DOI: 10.1016/j.ijpe.2013.01.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527313000431
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2013.01.025?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. Chang Sup Sung & Sang Hum Yoon, 1998. "Minimizing total weighted completion time at a pre-assembly stage composed of two feeding machines," International Journal of Production Economics, Elsevier, vol. 54(3), pages 247-255, May.
    2. Wang, Guoqing & Cheng, T.C. Edwin, 2007. "Customer order scheduling to minimize total weighted completion time," Omega, Elsevier, vol. 35(5), pages 623-626, October.
    3. Leung, Joseph Y.-T. & Li, Haibing & Pinedo, Michael, 2006. "Scheduling orders for multiple product types with due date related objectives," European Journal of Operational Research, Elsevier, vol. 168(2), pages 370-389, January.
    4. Leung, Joseph Y.-T. & Lee, C.Y. & Ng, C.W. & Young, G.H., 2008. "Preemptive multiprocessor order scheduling to minimize total weighted flowtime," European Journal of Operational Research, Elsevier, vol. 190(1), pages 40-51, October.
    5. Joseph Leung & Haibing Li & Michael Pinedo, 2008. "Scheduling orders on either dedicated or flexible machines in parallel to minimize total weighted completion time," Annals of Operations Research, Springer, vol. 159(1), pages 107-123, March.
    6. Yoon, Sang Hum & Sung, Chang Sup, 2005. "Fixed pre-assembly scheduling on multiple fabrication machines," International Journal of Production Economics, Elsevier, vol. 96(1), pages 109-118, April.
    7. Hamilton Emmons, 1969. "One-Machine Sequencing to Minimize Certain Functions of Job Tardiness," Operations Research, INFORMS, vol. 17(4), pages 701-715, August.
    8. Cheng, T. C. E. & Ng, C. T. & Yuan, J. J. & Liu, Z. H., 2005. "Single machine scheduling to minimize total weighted tardiness," European Journal of Operational Research, Elsevier, vol. 165(2), pages 423-443, September.
    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. Framinan, Jose M. & Perez-Gonzalez, Paz, 2018. "Order scheduling with tardiness objective: Improved approximate solutions," European Journal of Operational Research, Elsevier, vol. 266(3), pages 840-850.
    2. Ren-Xia Chen & Shi-Sheng Li, 2020. "Minimizing maximum delivery completion time for order scheduling with rejection," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1044-1064, November.
    3. Xiaoling Cao & Wen-Hsing Wu & Wen-Hung Wu & Chin-Chia Wu, 2018. "Some two-agent single-machine scheduling problems to minimize minmax and minsum of completion times," Operational Research, Springer, vol. 18(2), pages 293-314, July.
    4. Lung-Yu Li & Jian-You Xu & Shuenn-Ren Cheng & Xingong Zhang & Win-Chin Lin & Jia-Cheng Lin & Zong-Lin Wu & Chin-Chia Wu, 2022. "A Genetic Hyper-Heuristic for an Order Scheduling Problem with Two Scenario-Dependent Parameters in a Parallel-Machine Environment," Mathematics, MDPI, vol. 10(21), pages 1-22, November.
    5. Husam Dauod & Nieqing Cao & Debiao Li & Jaehee Kim & Sang Won Yoon & Daehan Won, 2023. "An Order Scheduling Heuristic to Minimize the Total Collation Delays and the Makespan in High-Throughput Make-to-Order Manufacturing Systems," SN Operations Research Forum, Springer, vol. 4(2), pages 1-23, June.
    6. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.

    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. Lung-Yu Li & Jian-You Xu & Shuenn-Ren Cheng & Xingong Zhang & Win-Chin Lin & Jia-Cheng Lin & Zong-Lin Wu & Chin-Chia Wu, 2022. "A Genetic Hyper-Heuristic for an Order Scheduling Problem with Two Scenario-Dependent Parameters in a Parallel-Machine Environment," Mathematics, MDPI, vol. 10(21), pages 1-22, November.
    2. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.
    3. Ren-Xia Chen & Shi-Sheng Li, 2020. "Minimizing maximum delivery completion time for order scheduling with rejection," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1044-1064, November.
    4. Husam Dauod & Nieqing Cao & Debiao Li & Jaehee Kim & Sang Won Yoon & Daehan Won, 2023. "An Order Scheduling Heuristic to Minimize the Total Collation Delays and the Makespan in High-Throughput Make-to-Order Manufacturing Systems," SN Operations Research Forum, Springer, vol. 4(2), pages 1-23, June.
    5. T.C. Edwin Cheng & Qingqin Nong & Chi To Ng, 2011. "Polynomial‐time approximation scheme for concurrent open shop scheduling with a fixed number of machines to minimize the total weighted completion time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(8), pages 763-770, December.
    6. Joseph Leung & Haibing Li & Michael Pinedo, 2008. "Scheduling orders on either dedicated or flexible machines in parallel to minimize total weighted completion time," Annals of Operations Research, Springer, vol. 159(1), pages 107-123, March.
    7. Framinan, Jose M. & Perez-Gonzalez, Paz, 2018. "Order scheduling with tardiness objective: Improved approximate solutions," European Journal of Operational Research, Elsevier, vol. 266(3), pages 840-850.
    8. Koulamas, Christos, 2010. "The single-machine total tardiness scheduling problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 202(1), pages 1-7, April.
    9. Sung, C.S. & Kim, Hyun Ah, 2008. "A two-stage multiple-machine assembly scheduling problem for minimizing sum of completion times," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1038-1048, June.
    10. Derya Deliktaş, 2022. "Self-adaptive memetic algorithms for multi-objective single machine learning-effect scheduling problems with release times," Flexible Services and Manufacturing Journal, Springer, vol. 34(3), pages 748-784, September.
    11. Haiyan Wang & Chung‐Yee Lee, 2005. "Production and transport logistics scheduling with two transport mode choices," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 796-809, December.
    12. 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.
    13. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    14. Roberto Cordone & Pierre Hosteins & Giovanni Righini, 2018. "A Branch-and-Bound Algorithm for the Prize-Collecting Single-Machine Scheduling Problem with Deadlines and Total Tardiness Minimization," INFORMS Journal on Computing, INFORMS, vol. 30(1), pages 168-180, February.
    15. Huynh Tuong, Nguyen & Soukhal, Ameur & Billaut, Jean-Charles, 2010. "A new dynamic programming formulation for scheduling independent tasks with common due date on parallel machines," European Journal of Operational Research, Elsevier, vol. 202(3), pages 646-653, May.
    16. Og[breve]uz, Ceyda & Sibel Salman, F. & Bilgintürk YalçIn, Zehra, 2010. "Order acceptance and scheduling decisions in make-to-order systems," International Journal of Production Economics, Elsevier, vol. 125(1), pages 200-211, May.
    17. S-W Lin & K-C Ying, 2008. "A hybrid approach for single-machine tardiness problems with sequence-dependent setup times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(8), pages 1109-1119, August.
    18. Leung, Joseph Y-T. & Li, Haibing & Pinedo, Michael & Sriskandarajah, Chelliah, 2005. "Open shops with jobs overlap--revisited," European Journal of Operational Research, Elsevier, vol. 163(2), pages 569-571, June.
    19. Koulamas, Christos, 1996. "Single-machine scheduling with time windows and earliness/tardiness penalties," European Journal of Operational Research, Elsevier, vol. 91(1), pages 190-202, May.
    20. Tian, Z. J. & Ng, C. T. & Cheng, T. C. E., 2005. "On the single machine total tardiness problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 843-846, September.

    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:eee:proeco:v:144:y:2013:i:1:p:128-134. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.