IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v159y2008i1p25-4010.1007-s10479-007-0269-y.html
   My bibliography  Save this article

The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times

Author

Listed:
  • Dvir Shabtay
  • George Steiner

Abstract

We study the earliness-tardiness scheduling problem on a single machine with due date assignment and controllable processing times. We analyze the problem with three different due date assignment methods and two different processing time functions. For each combination of these, we provide a polynomial-time algorithm to find the optimal job sequence, due date values and resource allocation minimizing an objective function which includes earliness, tardiness, due date assignment, makespan and total resource consumption costs. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Dvir Shabtay & George Steiner, 2008. "The single-machine earliness-tardiness scheduling problem with due date assignment and resource-dependent processing times," Annals of Operations Research, Springer, vol. 159(1), pages 25-40, March.
    • Handle: RePEc:spr:annopr:v:159:y:2008:i:1:p:25-40:10.1007/s10479-007-0269-y
    DOI: 10.1007/s10479-007-0269-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-007-0269-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-007-0269-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. 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. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    3. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    4. Cheng, T. C. E. & Oguz, C. & Qi, X. D., 1996. "Due-date assignment and single machine scheduling with compressible processing times," International Journal of Production Economics, Elsevier, vol. 43(1), pages 29-35, May.
    5. Nicholas G. Hall & Wieslaw Kubiak & Suresh P. Sethi, 1991. "Earliness–Tardiness Scheduling Problems, II: Deviation of Completion Times About a Restrictive Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 847-856, October.
    6. Alidaee, Bahram & Ahmadian, Ahmad, 1993. "Two parallel machine sequencing problems involving controllable job processing times," European Journal of Operational Research, Elsevier, vol. 70(3), pages 335-341, November.
    7. Clyde L. Monma & Alexander Schrijver & Michael J. Todd & Victor K. Wei, 1990. "Convex Resource Allocation Problems on Directed Acyclic Graphs: Duality, Complexity, Special Cases, and Extensions," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 736-748, November.
    8. 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.
    9. Daniels, Richard L., 1990. "A multi-objective approach to resource allocation in single machine scheduling," European Journal of Operational Research, Elsevier, vol. 48(2), pages 226-241, September.
    10. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
    11. Panwalkar, S. S. & Rajagopalan, R., 1992. "Single-machine sequencing with controllable processing times," European Journal of Operational Research, Elsevier, vol. 59(2), pages 298-302, June.
    12. Slotnick, Susan A. & Sobel, Matthew J., 2005. "Manufacturing lead-time rules: Customer retention versus tardiness costs," European Journal of Operational Research, Elsevier, vol. 163(3), pages 825-856, June.
    13. 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.
    14. Cheng, T. C. E. & Oguz, C. & Qi, X. D., 1996. "Due-date assignment and single machine scheduling with compressible processing times," International Journal of Production Economics, Elsevier, vol. 43(2-3), pages 107-113, 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. Shabtay, Dvir & Steiner, George & Zhang, Rui, 2016. "Optimal coordination of resource allocation, due date assignment and scheduling decisions," Omega, Elsevier, vol. 65(C), pages 41-54.
    2. Shabtay, Dvir & Zofi, Moshe, 2018. "Single machine scheduling with controllable processing times and an unavailability period to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 198(C), pages 191-200.
    3. Yedidsion, Liron & Shabtay, Dvir, 2017. "The resource dependent assignment problem with a convex agent cost function," European Journal of Operational Research, Elsevier, vol. 261(2), pages 486-502.
    4. Enrique Gerstl & Gur Mosheiov, 2013. "Minmax due-date assignment with a time window for acceptable lead-times," Annals of Operations Research, Springer, vol. 211(1), pages 167-177, December.
    5. Baruch Mor & Gur Mosheiov, 2021. "Minmax due-date assignment on a two-machine flowshop," Annals of Operations Research, Springer, vol. 305(1), pages 191-209, October.
    6. George Steiner & Rui Zhang, 2011. "Minimizing the weighted number of tardy jobs with due date assignment and capacity-constrained deliveries," Annals of Operations Research, Springer, vol. 191(1), pages 171-181, November.
    7. 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.
    8. Koulamas, Christos, 2011. "A unified solution approach for the due date assignment problem with tardy jobs," International Journal of Production Economics, Elsevier, vol. 132(2), pages 292-295, August.
    9. Chun-Lai Liu & Jian-Jun Wang, 2016. "Unrelated Parallel-Machine Scheduling with Controllable Processing Times and Impact of Deteriorating Maintenance Activities under Consideration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-16, February.
    10. Koulamas, Christos & Gupta, Sushil & Kyparisis, George J., 2010. "A unified analysis for the single-machine scheduling problem with controllable and non-controllable variable job processing times," European Journal of Operational Research, Elsevier, vol. 205(2), pages 479-482, September.
    11. Lvjiang Yin & Xinyu Li & Chao Lu & Liang Gao, 2016. "Energy-Efficient Scheduling Problem Using an Effective Hybrid Multi-Objective Evolutionary Algorithm," Sustainability, MDPI, vol. 8(12), pages 1-33, 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. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    2. 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.
    3. Shabtay, Dvir & Steiner, George & Zhang, Rui, 2016. "Optimal coordination of resource allocation, due date assignment and scheduling decisions," Omega, Elsevier, vol. 65(C), pages 41-54.
    4. Koulamas, Christos & Gupta, Sushil & Kyparisis, George J., 2010. "A unified analysis for the single-machine scheduling problem with controllable and non-controllable variable job processing times," European Journal of Operational Research, Elsevier, vol. 205(2), pages 479-482, September.
    5. 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.
    6. 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.
    7. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    8. Biskup, Dirk, 1999. "Single-machine scheduling with learning considerations," European Journal of Operational Research, Elsevier, vol. 115(1), pages 173-178, May.
    9. 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.
    10. 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.
    11. Lin, Shih-Wei & Chou, Shuo-Yan & Ying, Kuo-Ching, 2007. "A sequential exchange approach for minimizing earliness-tardiness penalties of single-machine scheduling with a common due date," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1294-1301, March.
    12. 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.
    13. Koulamas, Christos & Kyparisis, George J., 2023. "A classification of dynamic programming formulations for offline deterministic single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 305(3), pages 999-1017.
    14. S.S. Panwalkar & Christos Koulamas, 2015. "On equivalence between the proportionate flow shop and single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 595-603, October.
    15. Baker, Kenneth R., 2014. "Minimizing earliness and tardiness costs in stochastic scheduling," European Journal of Operational Research, Elsevier, vol. 236(2), pages 445-452.
    16. J-G Kim & D-H Lee, 2009. "Algorithms for common due-date assignment and sequencing on a single machine with sequence-dependent setup times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(9), pages 1264-1272, September.
    17. Shabtay, Dvir, 2010. "Scheduling and due date assignment to minimize earliness, tardiness, holding, due date assignment and batch delivery costs," International Journal of Production Economics, Elsevier, vol. 123(1), pages 235-242, January.
    18. Zhi-Long Chen, 1997. "Scheduling with batch setup times and earliness-tardiness penalties," European Journal of Operational Research, Elsevier, vol. 96(3), pages 518-537, February.
    19. Feng Li & Zhi-Long Chen & Zhi-Long Chen, 2017. "Integrated Production, Inventory and Delivery Problems: Complexity and Algorithms," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 232-250, May.
    20. Cheng, T. C. E. & Oguz, C. & Qi, X. D., 1996. "Due-date assignment and single machine scheduling with compressible processing times," International Journal of Production Economics, Elsevier, vol. 43(1), pages 29-35, May.

    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:159:y:2008:i:1:p:25-40:10.1007/s10479-007-0269-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.