IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v31y2003i2p137-140.html
   My bibliography  Save this article

A note on a well-known dispatching rule to minimize total tardiness

Author

Listed:
  • Naidu, Jaideep T.

Abstract

The single machine tardiness problem is considered. We clarify and correct an earlier result related to the Modified Due Date (MDD) Rule of Baker and Bertrand and show that a heuristic does not always satisfy an optimal sequence. However, we present some interesting special cases of optimal sequences that do satisfy the MDD Rule. We believe this note is important because the MDD Rule is still considered to be one of the most efficient rules to minimize the single machine tardiness problem. Because of its dispatching nature and simplicity, the MDD Rule is found to be very practical. It is widely applied in both static and dynamic job shop and industrial settings where setup times if any are negligible or included in the job processing times and hence not an issue.

Suggested Citation

  • Naidu, Jaideep T., 2003. "A note on a well-known dispatching rule to minimize total tardiness," Omega, Elsevier, vol. 31(2), pages 137-140, April.
    • Handle: RePEc:eee:jomega:v:31:y:2003:i:2:p:137-140
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(03)00020-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Panwalkar, S. S. & Smith, M. L. & Koulamas, C. P., 1993. "A heuristic for the single machine tardiness problem," European Journal of Operational Research, Elsevier, vol. 70(3), pages 304-310, November.
    2. Alidaee, Bahram & Gopalan, Suresh, 1997. "A note on the equivalence of two heuristics to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 96(3), pages 514-517, February.
    3. Hamilton Emmons, 1969. "One-Machine Sequencing to Minimize Certain Functions of Job Tardiness," Operations Research, INFORMS, vol. 17(4), pages 701-715, 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. Xiong, Hegen & Fan, Huali & Jiang, Guozhang & Li, Gongfa, 2017. "A simulation-based study of dispatching rules in a dynamic job shop scheduling problem with batch release and extended technical precedence constraints," European Journal of Operational Research, Elsevier, vol. 257(1), pages 13-24.

    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. Sen, Tapan & Sulek, Joanne M. & Dileepan, Parthasarati, 2003. "Static scheduling research to minimize weighted and unweighted tardiness: A state-of-the-art survey," International Journal of Production Economics, Elsevier, vol. 83(1), pages 1-12, January.
    2. 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.
    3. Su, Ling-Huey & Chen, Chung-Jung, 2008. "Minimizing total tardiness on a single machine with unequal release dates," European Journal of Operational Research, Elsevier, vol. 186(2), pages 496-503, April.
    4. Herr, Oliver & Goel, Asvin, 2016. "Minimising total tardiness for a single machine scheduling problem with family setups and resource constraints," European Journal of Operational Research, Elsevier, vol. 248(1), pages 123-135.
    5. 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.
    6. El-Bouri, Ahmed & Balakrishnan, Subramaniam & Popplewell, Neil, 2000. "Sequencing jobs on a single machine: A neural network approach," European Journal of Operational Research, Elsevier, vol. 126(3), pages 474-490, November.
    7. Russell, Randolph M. & Holsenback, J. Edward, 1997. "Evaluation of leading heuristics for the single machine tardiness problem," European Journal of Operational Research, Elsevier, vol. 96(3), pages 538-545, February.
    8. S-O Shim & Y-D Kim, 2007. "Minimizing total tardiness in an unrelated parallel-machine scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 346-354, March.
    9. Alidaee, Bahram & Kochenberger, Gary A. & Amini, Mohammad M., 2001. "Greedy solutions of selection and ordering problems," European Journal of Operational Research, Elsevier, vol. 134(1), pages 203-215, October.
    10. 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.
    11. 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.
    12. Adenso-Diaz, Belarmino, 1996. "An SA/TS mixture algorithm for the scheduling tardiness problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 516-524, February.
    13. Christos Koulamas, 1997. "Decomposition and hybrid simulated annealing heuristics for the parallel‐machine total tardiness problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 109-125, February.
    14. Schaller, Jeffrey, 2007. "Scheduling on a single machine with family setups to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 105(2), pages 329-344, February.
    15. Bilge, Umit & Kurtulan, Mujde & Kirac, Furkan, 2007. "A tabu search algorithm for the single machine total weighted tardiness problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1423-1435, February.
    16. Chengbin Chu, 1992. "A branch‐and‐bound algorithm to minimize total tardiness with different release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 265-283, March.
    17. Alidaee, Bahram & Gopalan, Suresh, 1997. "A note on the equivalence of two heuristics to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 96(3), pages 514-517, February.
    18. Silva, Marco & Poss, Michael & Maculan, Nelson, 2020. "Solution algorithms for minimizing the total tardiness with budgeted processing time uncertainty," European Journal of Operational Research, Elsevier, vol. 283(1), pages 70-82.
    19. Tanaka, Shunji & Araki, Mituhiko, 2008. "A branch-and-bound algorithm with Lagrangian relaxation to minimize total tardiness on identical parallel machines," International Journal of Production Economics, Elsevier, vol. 113(1), pages 446-458, May.
    20. S H Yoon & I S Lee, 2011. "New constructive heuristics for the total weighted tardiness problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 232-237, January.

    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:jomega:v:31:y:2003:i:2:p:137-140. 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/wps/find/journaldescription.cws_home/375/description#description .

    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.