IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v133y2005i1p163-17410.1007-s10479-004-5030-1.html
   My bibliography  Save this article

Group Scheduling with Controllable Setup and Processing Times: Minimizing Total Weighted Completion Time

Author

Listed:
  • C. Ng
  • T. Cheng
  • Adam Janiak
  • Mikhail Kovalyov

Abstract

The following single machine scheduling problem is studied. A partition of a set of n jobs into g groups on the basis of group technology is given. The machine processes jobs of the same group contiguously, with a sequence independent setup time preceding the processing of each group. The setup times and the job processing times are controllable through the allocation of a continuously divisible or discrete resource to them. Each job uses the same amount of the resource. Each setup also uses the same amount of resource, which may be different from that for the jobs. Polynomial-time algorithms are constructed for variants of the problem of finding an optimal job sequence and resource values so as to minimize the total weighted job completion time, subject to given restrictions on resource consumption. The algorithms are based on a polynomial enumeration of the candidates for an optimal job sequence and solving the problem with a fixed job sequence by linear programming. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • C. Ng & T. Cheng & Adam Janiak & Mikhail Kovalyov, 2005. "Group Scheduling with Controllable Setup and Processing Times: Minimizing Total Weighted Completion Time," Annals of Operations Research, Springer, vol. 133(1), pages 163-174, January.
    • Handle: RePEc:spr:annopr:v:133:y:2005:i:1:p:163-174:10.1007/s10479-004-5030-1
    DOI: 10.1007/s10479-004-5030-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-004-5030-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-004-5030-1?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. Van Wassenhove, Luk N. & Baker, Kenneth R., 1982. "A bicriterion approach to time/cost trade-offs in sequencing," European Journal of Operational Research, Elsevier, vol. 11(1), pages 48-54, September.
    2. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    3. Janiak, Adam & Kovalyov, Mikhail Y. & Portmann, Marie-Claude, 2005. "Single machine group scheduling with resource dependent setup and processing times," European Journal of Operational Research, Elsevier, vol. 162(1), pages 112-121, April.
    4. Biskup, Dirk & Jahnke, Hermann, 2001. "Common due date assignment for scheduling on a single machine with jointly reducible processing times," International Journal of Production Economics, Elsevier, vol. 69(3), pages 317-322, February.
    5. Janiak, Adam, 1991. "Single machine scheduling problem with a common deadline and resource dependent release dates," European Journal of Operational Research, Elsevier, vol. 53(3), pages 317-325, August.
    6. Cheng, T. C. Edwin & Janiak, Adam & Kovalyov, Mikhail Y., 2001. "Single machine batch scheduling with resource dependent setup and processing times," European Journal of Operational Research, Elsevier, vol. 135(1), pages 177-183, November.
    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. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Group scheduling and due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 130(2), pages 230-235, April.
    2. Yaron Leyvand & Dvir Shabtay & George Steiner & Liron Yedidsion, 2010. "Just-in-time scheduling with controllable processing times on parallel machines," Journal of Combinatorial Optimization, Springer, vol. 19(3), pages 347-368, April.
    3. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    4. Dvir Shabtay & George Steiner, 2007. "Optimal Due Date Assignment and Resource Allocation to Minimize the Weighted Number of Tardy Jobs on a Single Machine," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 332-350, March.
    5. Choi, Byung-Cheon & Yoon, Suk-Hun & Chung, Sung-Jin, 2007. "Single machine scheduling problem with controllable processing times and resource dependent release times," European Journal of Operational Research, Elsevier, vol. 181(2), pages 645-653, September.
    6. Yunqiang Yin & Du-Juan Wang & T C E Cheng & Chin-Chia Wu, 2016. "Bi-criterion single-machine scheduling and due-window assignment with common flow allowances and resource-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(9), pages 1169-1183, September.
    7. Leyvand, Yaron & Shabtay, Dvir & Steiner, George, 2010. "A unified approach for scheduling with convex resource consumption functions using positional penalties," European Journal of Operational Research, Elsevier, vol. 206(2), pages 301-312, October.
    8. Kangbok Lee & Lei Lei & Michael Pinedo, 2012. "Production scheduling with history‐dependent setup times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(1), pages 58-68, February.
    9. Shabtay, Dvir & Bensoussan, Yaron & Kaspi, Moshe, 2012. "A bicriteria approach to maximize the weighted number of just-in-time jobs and to minimize the total resource consumption cost in a two-machine flow-shop scheduling system," International Journal of Production Economics, Elsevier, vol. 136(1), pages 67-74.
    10. Shabtay, Dvir, 2022. "Single-machine scheduling with machine unavailability periods and resource dependent processing times," European Journal of Operational Research, Elsevier, vol. 296(2), pages 423-439.
    11. Min Ji & Xin Zhang & Xiaoying Tang & T.C.E. Cheng & Guiyi Wei & Yuanyuan Tan, 2016. "Group scheduling with group-dependent multiple due windows assignment," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1244-1256, February.
    12. Dujuan Wang & Yunqiang Yin & T.C.E. Cheng, 2017. "A bicriterion approach to common flow allowances due window assignment and scheduling with controllable processing times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(1), pages 41-63, February.
    13. 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.
    14. Min Ji & Sai Liu & Xiaolin Zhang & Keke Cao & T. C. E. Cheng, 2017. "Sequencing Games with Slack Due Windows and Group Technology Considerations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(2), pages 121-133, February.

    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. Janiak, Adam & Kovalyov, Mikhail Y. & Portmann, Marie-Claude, 2005. "Single machine group scheduling with resource dependent setup and processing times," European Journal of Operational Research, Elsevier, vol. 162(1), pages 112-121, April.
    2. Daniel Ng, C. T. & Cheng, T. C. Edwin & Kovalyov, Mikhail Y., 2004. "Single machine batch scheduling with jointly compressible setup and processing times," European Journal of Operational Research, Elsevier, vol. 153(1), pages 211-219, February.
    3. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    4. Carrasco, Rodrigo A. & Iyengar, Garud & Stein, Cliff, 2018. "Resource cost aware scheduling," European Journal of Operational Research, Elsevier, vol. 269(2), pages 621-632.
    5. Choi, Byung-Cheon & Yoon, Suk-Hun & Chung, Sung-Jin, 2007. "Single machine scheduling problem with controllable processing times and resource dependent release times," European Journal of Operational Research, Elsevier, vol. 181(2), pages 645-653, September.
    6. C T Daniel Ng & T C E Cheng & M Y Kovalyov, 2003. "Batch scheduling with controllable setup and processing times to minimize total completion time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 499-506, May.
    7. Cheng, T. C. Edwin & Janiak, Adam & Kovalyov, Mikhail Y., 2001. "Single machine batch scheduling with resource dependent setup and processing times," European Journal of Operational Research, Elsevier, vol. 135(1), pages 177-183, November.
    8. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    9. Wan, Guohua & Vakati, Sudheer R. & Leung, Joseph Y.-T. & Pinedo, Michael, 2010. "Scheduling two agents with controllable processing times," European Journal of Operational Research, Elsevier, vol. 205(3), pages 528-539, September.
    10. Wang, Ji-Bo & Xia, Zun-Quan, 2007. "Single machine scheduling problems with controllable processing times and total absolute differences penalties," European Journal of Operational Research, Elsevier, vol. 177(1), pages 638-645, February.
    11. Yedidsion, Liron & Shabtay, Dvir & Korach, Ephraim & Kaspi, Moshe, 2009. "A bicriteria approach to minimize number of tardy jobs and resource consumption in scheduling a single machine," International Journal of Production Economics, Elsevier, vol. 119(2), pages 298-307, June.
    12. Otto, Alena & Li, Xiyu, 2020. "Product sequencing in multiple-piece-flow assembly lines," Omega, Elsevier, vol. 91(C).
    13. Vladimir Krasik & Joseph Leung & Michael Pinedo & Jiawei Zhang, 2008. "Scheduling multiple products on parallel machines with setup costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 654-669, October.
    14. Öncü Hazır & Safia Kedad-Sidhoum, 2014. "Batch sizing and just-in-time scheduling with common due date," Annals of Operations Research, Springer, vol. 213(1), pages 187-202, February.
    15. Shisheng Li & T.C.E. Cheng & C.T. Ng & Jinjiang Yuan, 2017. "Two‐agent scheduling on a single sequential and compatible batching machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(8), pages 628-641, December.
    16. Chung‐Lun Li & Edward C. Sewell & T. C. E. Cheng, 1995. "Scheduling to minimize release‐time resource consumption and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 949-966, September.
    17. Dvir Shabtay & Moshe Kaspi, 2006. "Minimizing the makespan in open‐shop scheduling problems with a convex resource consumption function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(3), pages 204-216, April.
    18. Shabtay, Dvir, 2014. "The single machine serial batch scheduling problem with rejection to minimize total completion time and total rejection cost," European Journal of Operational Research, Elsevier, vol. 233(1), pages 64-74.
    19. Beat Gfeller & Leon Peeters & Birgitta Weber & Peter Widmayer, 2009. "Single machine batch scheduling with release times," Journal of Combinatorial Optimization, Springer, vol. 17(3), pages 323-338, April.
    20. Laub, Jeffrey D. & Fowler, John W. & Keha, Ahmet B., 2007. "Minimizing makespan with multiple-orders-per-job in a two-machine flowshop," European Journal of Operational Research, Elsevier, vol. 182(1), pages 63-79, October.

    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:annopr:v:133:y:2005:i:1:p:163-174:10.1007/s10479-004-5030-1. 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.