IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v206y2013i1p425-44810.1007-s10479-013-1339-y.html
   My bibliography  Save this article

An iterative approach for the serial batching problem with parallel machines and job families

Author

Listed:
  • Liji Shen
  • Lars Mönch
  • Udo Buscher

Abstract

In this paper, we consider a parallel machine scheduling problem to minimize the total completion time. Each job belongs to a certain family. All jobs of one family have identical processing times. Major setups occur between jobs of different families, and we include sequence dependencies. Batches of jobs belonging to the same family can be formed to avoid these setups. Furthermore, we assume serial batching and batch availability. Therefore, the processing time of a batch is the sum of the processing times of all jobs grouped into the corresponding batch. An iterative method is developed for solving this specific problem. This approach alternates between varying batch sizes using an efficient heuristic and sequencing batches based on variable neighborhood search (VNS). Computational results demonstrate that the iterative heuristic outperforms heuristics based on a fixed batch size and list scheduling. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Liji Shen & Lars Mönch & Udo Buscher, 2013. "An iterative approach for the serial batching problem with parallel machines and job families," Annals of Operations Research, Springer, vol. 206(1), pages 425-448, July.
    • Handle: RePEc:spr:annopr:v:206:y:2013:i:1:p:425-448:10.1007/s10479-013-1339-y
    DOI: 10.1007/s10479-013-1339-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-013-1339-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-013-1339-y?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. Clyde L. Monma & Chris N. Potts, 1989. "On the Complexity of Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 37(5), pages 798-804, October.
    2. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    3. Crauwels, H. A. J. & Potts, C. N. & Van Wassenhove, L. N., 1996. "Local search heuristics for single-machine scheduling with batching to minimize the number of late jobs," European Journal of Operational Research, Elsevier, vol. 90(2), pages 200-213, April.
    4. 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.
    5. Buscher, Udo & Shen, Liji, 2009. "An integrated tabu search algorithm for the lot streaming problem in job shops," European Journal of Operational Research, Elsevier, vol. 199(2), pages 385-399, December.
    6. 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.
    7. C Almeder & L Mönch, 2011. "Metaheuristics for scheduling jobs with incompatible families on parallel batching machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2083-2096, December.
    8. Wang, Guoqing & Cheng, T. C. Edwin, 2000. "Parallel machine scheduling with batch delivery costs," International Journal of Production Economics, Elsevier, vol. 68(2), pages 177-183, November.
    9. H.A.J. Crauwels & C.N. Potts & L.N. Van Wassenhove, 1997. "Local search heuristics for single machine scheduling with batch set-up times to minimize total weighted completion time," Annals of Operations Research, Springer, vol. 70(0), pages 261-279, April.
    10. 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.
    11. Edward G. Coffman & Ardavan Nozari & Mihalis Yannakakis, 1989. "Optimal Scheduling of Products with Two Subassemblies on a Single Machine," Operations Research, INFORMS, vol. 37(3), pages 426-436, 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. Lin-Hui Sun & Kai Cui & Ju-Hong Chen & Jun Wang & Xian-Chen He, 2013. "Research on permutation flow shop scheduling problems with general position-dependent learning effects," Annals of Operations Research, Springer, vol. 211(1), pages 473-480, December.
    2. Mehdi Rajabi Asadabadi, 2017. "A developed slope order index (SOI) for bottlenecks in projects and production lines," Computational Management Science, Springer, vol. 14(2), pages 281-291, April.
    3. Yi Tan & Lars Mönch & John W. Fowler, 2018. "A hybrid scheduling approach for a two-stage flexible flow shop with batch processing machines," Journal of Scheduling, Springer, vol. 21(2), pages 209-226, April.
    4. Jun-Ho Lee & Hyun-Jung Kim, 2021. "A heuristic algorithm for identical parallel machine scheduling: splitting jobs, sequence-dependent setup times, and limited setup operators," Flexible Services and Manufacturing Journal, Springer, vol. 33(4), pages 992-1026, December.

    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. Grundel, Soesja & Çiftçi, Barış & Borm, Peter & Hamers, Herbert, 2013. "Family sequencing and cooperation," European Journal of Operational Research, Elsevier, vol. 226(3), pages 414-424.
    2. Lele Zhang & Andrew Wirth, 2010. "On-line machine scheduling with batch setups," Journal of Combinatorial Optimization, Springer, vol. 20(3), pages 285-306, October.
    3. Dominik Kress & Maksim Barketau & Erwin Pesch, 2018. "Single-machine batch scheduling to minimize the total setup cost in the presence of deadlines," Journal of Scheduling, Springer, vol. 21(6), pages 595-606, December.
    4. Dunstall, Simon & Wirth, Andrew, 2005. "A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines," European Journal of Operational Research, Elsevier, vol. 167(2), pages 283-296, December.
    5. Hinder, Oliver & Mason, Andrew J., 2017. "A novel integer programing formulation for scheduling with family setup times on a single machine to minimize maximum lateness," European Journal of Operational Research, Elsevier, vol. 262(2), pages 411-423.
    6. Kramer, Arthur & Iori, Manuel & Lacomme, Philippe, 2021. "Mathematical formulations for scheduling jobs on identical parallel machines with family setup times and total weighted completion time minimization," European Journal of Operational Research, Elsevier, vol. 289(3), pages 825-840.
    7. 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.
    8. F Jin & J N D Gupta & S Song & C Wu, 2010. "Single machine scheduling with sequence-dependent family setups to minimize maximum lateness," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(7), pages 1181-1189, July.
    9. 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.
    10. 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.
    11. Mor, Baruch & Mosheiov, Gur, 2014. "Batch scheduling with a rate-modifying maintenance activity to minimize total flowtime," International Journal of Production Economics, Elsevier, vol. 153(C), pages 238-242.
    12. Hatami, Sara & Ruiz, Rubén & Andrés-Romano, Carlos, 2015. "Heuristics and metaheuristics for the distributed assembly permutation flowshop scheduling problem with sequence dependent setup times," International Journal of Production Economics, Elsevier, vol. 169(C), pages 76-88.
    13. Lele Zhang & Andrew Wirth, 2016. "Online Machine Scheduling with Family Setups," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-16, August.
    14. Dolgui, Alexandre & Kovalev, Sergey & Kovalyov, Mikhail Y. & Nossack, Jenny & Pesch, Erwin, 2014. "Minimizing setup costs in a transfer line design problem with sequential operation processing," International Journal of Production Economics, Elsevier, vol. 151(C), pages 186-194.
    15. Jinwen Ou, 2020. "Near-linear-time approximation algorithms for scheduling a batch-processing machine with setups and job rejection," Journal of Scheduling, Springer, vol. 23(5), pages 525-538, October.
    16. Pang, King-Wah, 2013. "A genetic algorithm based heuristic for two machine no-wait flowshop scheduling problems with class setup times that minimizes maximum lateness," International Journal of Production Economics, Elsevier, vol. 141(1), pages 127-136.
    17. Shi-Sheng Li & Ren-Xia Chen & Qi Feng, 2016. "Scheduling two job families on a single machine with two competitive agents," Journal of Combinatorial Optimization, Springer, vol. 32(3), pages 784-799, October.
    18. Zhi‐Long Chen & Warren B. Powell, 2003. "Exact algorithms for scheduling multiple families of jobs on parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(7), pages 823-840, October.
    19. Wang, Xiuli & Cheng, T.C.E., 2009. "Heuristics for parallel-machine scheduling with job class setups and delivery to multiple customers," International Journal of Production Economics, Elsevier, vol. 119(1), pages 199-206, May.
    20. Zhou, Feng & Blocher, James D. & Hu, Xinxin & Sebastian Heese, H., 2014. "Optimal single machine scheduling of products with components and changeover cost," European Journal of Operational Research, Elsevier, vol. 233(1), pages 75-83.

    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:206:y:2013:i:1:p:425-448:10.1007/s10479-013-1339-y. 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.