IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v46y1998i3-supplement-3ps84-s97.html
   My bibliography  Save this article

Scheduling with Finite Capacity Output Buffers

Author

Listed:
  • Nicholas G. Hall

    (The Ohio State University, Columbus, Ohio)

  • Marc E. Posner

    (The Ohio State University, Columbus, Ohio)

  • Chris N. Potts

    (University of Southampton, Southampton, England)

Abstract

In many scheduling problems, a job that completes processing may need to be held in an output buffer until the customer is ready to accept delivery. Buffer capacity is usually assumed to be infinite.We study a number of the best known single machine scheduling problems, under several alternative assumptions about the capacity of the output buffer. Specifically, we allow the buffer capacity to be either zero, fixed, or specified as part of problem input. We also consider situations in which all jobs have the same storage requirement in the buffer, and others where the storage requirement may vary. Further, we consider generalizations where there is a time interval within which a customer accepts delivery without cost to the producer.A classification scheme for these problems is provided. For each problem considered, we provide either an efficient algorithm or a proof that such an algorithm is unlikely to exist. Our results provide a mapping of the computational complexity of these problems which parallels those that are available for classical scheduling problems with infinite buffer capacity.

Suggested Citation

  • Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 1998. "Scheduling with Finite Capacity Output Buffers," Operations Research, INFORMS, vol. 46(3-supplem), pages 84-97, June.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:3-supplement-3:p:s84-s97
    DOI: 10.1287/opre.46.3.S84
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.46.3.S84
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.46.3.S84?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
    ---><---

    References listed on IDEAS

    as
    1. E. L. Lawler & J. M. Moore, 1969. "A Functional Equation and its Application to Resource Allocation and Sequencing Problems," Management Science, INFORMS, vol. 16(1), pages 77-84, September.
    2. Nawijn, W. M., 1992. "Minimum loss scheduling problems," European Journal of Operational Research, Elsevier, vol. 56(3), pages 364-369, February.
    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. Sawik, Tadeusz, 2007. "A lexicographic approach to bi-objective scheduling of single-period orders in make-to-order manufacturing," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1060-1075, August.
    2. L Tang & H Xuan, 2006. "Lagrangian relaxation algorithms for real-time hybrid flowshop scheduling with finite intermediate buffers," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(3), pages 316-324, March.
    3. M Azizoglu & M Koksalan & S K Koksalan, 2003. "Scheduling to minimize maximum earliness and number of tardy jobs where machine idle time is allowed," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 661-664, June.

    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. 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. Prabuddha De & Jay B. Ghosh & Charles E. Wells, 1994. "Due‐date assignment and early/tardy scheduling on identical parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 17-32, February.
    3. Willem E. de Paepe & Jan Karel Lenstra & Jiri Sgall & René A. Sitters & Leen Stougie, 2004. "Computer-Aided Complexity Classification of Dial-a-Ride Problems," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 120-132, May.
    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. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    6. Huynh Tuong, Nguyen & Soukhal, Ameur & Billaut, Jean-Charles, 2010. "A new dynamic programming formulation for scheduling independent tasks with common due date on parallel machines," European Journal of Operational Research, Elsevier, vol. 202(3), pages 646-653, May.
    7. Azizoglu, Meral & Kirca, Omer, 1999. "On the minimization of total weighted flow time with identical and uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 113(1), pages 91-100, February.
    8. Rubing Chen & Jinjiang Yuan, 2020. "Single-machine scheduling of proportional-linearly deteriorating jobs with positional due indices," 4OR, Springer, vol. 18(2), pages 177-196, June.
    9. Daniel Kowalczyk & Roel Leus, 2018. "A Branch-and-Price Algorithm for Parallel Machine Scheduling Using ZDDs and Generic Branching," INFORMS Journal on Computing, INFORMS, vol. 30(4), pages 768-782, November.
    10. Cai, X. & Lum, V. Y. S. & Chan, J. M. T., 1997. "Scheduling about a common due date with kob-dependent asymmetric earliness and tardiness penalties," European Journal of Operational Research, Elsevier, vol. 98(1), pages 154-168, April.
    11. Reha Uzsoy & Chung‐Yee Lee & Louis A. Martin‐Vega, 1992. "Scheduling semiconductor test operations: Minimizing maximum lateness and number of tardy jobs on a single machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 369-388, April.
    12. Tian, Z. J. & Ng, C. T. & Cheng, T. C. E., 2005. "On the single machine total tardiness problem," European Journal of Operational Research, Elsevier, vol. 165(3), pages 843-846, September.
    13. Zhi-Long Chen & Nicholas G. Hall, 2010. "The Coordination of Pricing and Scheduling Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 77-92, April.
    14. Rabia Nessah & Chengbin Chu, 2010. "Infinite split scheduling: a new lower bound of total weighted completion time on parallel machines with job release dates and unavailability periods," Annals of Operations Research, Springer, vol. 181(1), pages 359-375, December.
    15. Danny Hermelin & Hendrik Molter & Dvir Shabtay, 2024. "Minimizing the Weighted Number of Tardy Jobs via (max,+)-Convolutions," INFORMS Journal on Computing, INFORMS, vol. 36(3), pages 836-848, May.
    16. Imed Kacem & Hans Kellerer & Yann Lanuel, 2015. "Approximation algorithms for maximizing the weighted number of early jobs on a single machine with non-availability intervals," Journal of Combinatorial Optimization, Springer, vol. 30(3), pages 403-412, October.
    17. Cheng, T. C. E. & Ng, C. T. & Yuan, J. J. & Liu, Z. H., 2005. "Single machine scheduling to minimize total weighted tardiness," European Journal of Operational Research, Elsevier, vol. 165(2), pages 423-443, September.
    18. Ji, Min & He, Yong & Cheng, T.C.E., 2007. "Batch delivery scheduling with batch delivery cost on a single machine," European Journal of Operational Research, Elsevier, vol. 176(2), pages 745-755, January.
    19. Ji, Min & Cheng, T.C.E., 2010. "Batch scheduling of simple linear deteriorating jobs on a single machine to minimize makespan," European Journal of Operational Research, Elsevier, vol. 202(1), pages 90-98, April.
    20. Tom Demeulemeester & Dries Goossens & Ben Hermans & Roel Leus, 2023. "Fair integer programming under dichotomous and cardinal preferences," Papers 2306.13383, arXiv.org, revised Apr 2024.

    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:inm:oropre:v:46:y:1998:i:3-supplement-3:p:s84-s97. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.