IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v62y2011i7d10.1057_jors.2010.94.html
   My bibliography  Save this article

Minimizing the sum of maximum earliness and maximum tardiness in the single-machine scheduling problem with sequence-dependent setup time

Author

Listed:
  • N Nekoiemehr

    (Isfahan University of Technology)

  • G Moslehi

    (Isfahan University of Technology)

Abstract

This paper considers the problem of scheduling a given number of jobs on a single machine to minimize the sum of maximum earliness and maximum tardiness when sequence-dependent setup times exist (1∣ST sd ∣ET max). In this paper, an optimal branch-and-bound algorithm is developed that involves the implementation of lower and upper bounding procedures as well as three dominance rules. For solving problems containing large numbers of jobs, a polynomial time-bounded heuristic algorithm is also proposed. Computational experiments demonstrate the effectiveness of the bounding and dominance rules in achieving optimal solutions in more than 97% of the instances.

Suggested Citation

  • N Nekoiemehr & G Moslehi, 2011. "Minimizing the sum of maximum earliness and maximum tardiness in the single-machine scheduling problem with sequence-dependent setup time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1403-1412, July.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:7:d:10.1057_jors.2010.94
    DOI: 10.1057/jors.2010.94
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/jors.2010.94
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/jors.2010.94?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. J. Steve Davis & John J. Kanet, 1993. "Single‐machine scheduling with early and tardy completion costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 85-101, February.
    2. Peter Luh & Ling Gou & Yuanhui Zhang & Takaaki Nagahora & Makoto Tsuji & Kiyoshi Yoneda & Tetsuo Hasegawa & Yuji Kyoya & Toshiyuki Kano, 1998. "Job shop scheduling with group-dependent setups, finite buffers, and long time horizon," Annals of Operations Research, Springer, vol. 76(0), pages 233-259, January.
    3. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    4. John J. Kanet & V. Sridharan, 2000. "Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review," Operations Research, INFORMS, vol. 48(1), pages 99-110, February.
    5. Luo, Xiaochuan & Chu, Chengbin, 2007. "A branch-and-bound algorithm of the single machine schedule with sequence-dependent setup times for minimizing maximum tardiness," European Journal of Operational Research, Elsevier, vol. 180(1), pages 68-81, July.
    6. Yano, Candace Arai & Kim, Yeong-Dae, 1991. "Algorithms for a class of single-machine weighted tardiness and earliness problems," European Journal of Operational Research, Elsevier, vol. 52(2), pages 167-178, May.
    7. Yeong‐Dae Kim & Candace Arai Yano, 1994. "Minimizing mean tardiness and earliness in single‐machine scheduling problems with unequal due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 913-933, December.
    8. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    9. Schaller, Jeffrey E. & Gupta, Jatinder N.D., 2008. "Single machine scheduling with family setups to minimize total earliness and tardiness," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1050-1068, June.
    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. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.

    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. Schaller, Jeffrey & Valente, Jorge M.S., 2020. "Minimizing total earliness and tardiness in a nowait flow shop," International Journal of Production Economics, Elsevier, vol. 224(C).
    2. John J. Kanet & V. Sridharan, 2000. "Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review," Operations Research, INFORMS, vol. 48(1), pages 99-110, February.
    3. Jaw‐Yeh Chen & Sheng‐Fuu Lin, 2002. "Minimizing weighted earliness and tardiness penalties in single‐machine scheduling with idle time permitted," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(8), pages 760-780, December.
    4. Yeong‐Dae Kim & Candace Arai Yano, 1994. "Minimizing mean tardiness and earliness in single‐machine scheduling problems with unequal due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 913-933, December.
    5. Baker, Kenneth R., 2014. "Minimizing earliness and tardiness costs in stochastic scheduling," European Journal of Operational Research, Elsevier, vol. 236(2), pages 445-452.
    6. Schaller, Jeffrey E. & Gupta, Jatinder N.D., 2008. "Single machine scheduling with family setups to minimize total earliness and tardiness," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1050-1068, June.
    7. Jorge M. S. Valente, 2008. "Beam search heuristics for quadratic earliness and tardiness scheduling," FEP Working Papers 279, Universidade do Porto, Faculdade de Economia do Porto.
    8. Francis Sourd, 2009. "New Exact Algorithms for One-Machine Earliness-Tardiness Scheduling," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 167-175, February.
    9. Vincent T’kindt & Karima Bouibede-Hocine & Carl Esswein, 2007. "Counting and enumeration complexity with application to multicriteria scheduling," Annals of Operations Research, Springer, vol. 153(1), pages 215-234, September.
    10. James, R. J. W. & Buchanan, J. T., 1997. "A neighbourhood scheme with a compressed solution space for the early/tardy scheduling problem," European Journal of Operational Research, Elsevier, vol. 102(3), pages 513-527, November.
    11. Jorge M. S. Valente & Maria R. A. Moreira & Alok Singh & Rui A. F. S. Alves, 2009. "Genetic algorithms for single machine scheduling with quadratic earliness and tardiness costs," FEP Working Papers 312, Universidade do Porto, Faculdade de Economia do Porto.
    12. Detienne, Boris & Pinson, Éric & Rivreau, David, 2010. "Lagrangian domain reductions for the single machine earliness-tardiness problem with release dates," European Journal of Operational Research, Elsevier, vol. 201(1), pages 45-54, February.
    13. Arthur Kramer & Anand Subramanian, 2019. "A unified heuristic and an annotated bibliography for a large class of earliness–tardiness scheduling problems," Journal of Scheduling, Springer, vol. 22(1), pages 21-57, February.
    14. Valente, Jorge M.S. & Alves, Rui A.F.S., 2007. "Heuristics for the early/tardy scheduling problem with release dates," International Journal of Production Economics, Elsevier, vol. 106(1), pages 261-274, March.
    15. David J. Robb & Thomas R. Rohleder, 1996. "An evaluation of scheduling heuristics for dynamic single‐processor scheduling with early/tardy costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 349-364, April.
    16. repec:dgr:rugsom:95a37 is not listed on IDEAS
    17. Wlodzimierz Szwarc & Samar K. Mukhopadhyay, 1995. "Optimal timing schedules in earliness‐tardiness single machine sequencing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1109-1114, October.
    18. Allahverdi, Ali, 2015. "The third comprehensive survey on scheduling problems with setup times/costs," European Journal of Operational Research, Elsevier, vol. 246(2), pages 345-378.
    19. Luo, Xiaochuan & Chu, Chengbin, 2007. "A branch-and-bound algorithm of the single machine schedule with sequence-dependent setup times for minimizing maximum tardiness," European Journal of Operational Research, Elsevier, vol. 180(1), pages 68-81, July.
    20. Kate, H.A. ten & Wijngaard, J. & Zijm, W.H.M., 1995. "Minimizing weighted total earliness, total tardiness and setup costs," Research Report 95A37, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    21. Ventura, Jose A. & Radhakrishnan, Sanjay, 2003. "Single machine scheduling with symmetric earliness and tardiness penalties," European Journal of Operational Research, Elsevier, vol. 144(3), pages 598-612, 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:pal:jorsoc:v:62:y:2011:i:7:d:10.1057_jors.2010.94. 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.