IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v113y1999i1p91-100.html
   My bibliography  Save this article

On the minimization of total weighted flow time with identical and uniform parallel machines

Author

Listed:
  • Azizoglu, Meral
  • Kirca, Omer

Abstract

No abstract is available for this item.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:113:y:1999:i:1:p:91-100
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(97)00427-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. 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. Michael H. Rothkopf, 1966. "Scheduling Independent Tasks on Parallel Processors," Management Science, INFORMS, vol. 12(5), pages 437-447, January.
    3. W. L. Eastman & S. Even & I. M. Isaacs, 1964. "Bounds for the Optimal Scheduling of n Jobs on m Processors," Management Science, INFORMS, vol. 11(2), pages 268-279, 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. F. Rodriguez & C. Blum & C. García-Martínez & M. Lozano, 2012. "GRASP with path-relinking for the non-identical parallel machine scheduling problem with minimising total weighted completion times," Annals of Operations Research, Springer, vol. 201(1), pages 383-401, December.
    2. Chung, Tsui-Ping & Liao, Ching-Jong & Su, Ling-Huey, 2010. "Scheduling on identical machines with batch arrivals," International Journal of Production Economics, Elsevier, vol. 123(1), pages 179-186, January.
    3. Plateau, M.-C. & Rios-Solis, Y.A., 2010. "Optimal solutions for unrelated parallel machines scheduling problems using convex quadratic reformulations," European Journal of Operational Research, Elsevier, vol. 201(3), pages 729-736, March.
    4. Yalaoui, F. & Chu, C., 2006. "New exact method to solve the Pm/rj/[summation operator]Cj schedule problem," International Journal of Production Economics, Elsevier, vol. 100(1), pages 168-179, March.
    5. 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.
    6. 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.
    7. Kramer, Arthur & Dell’Amico, Mauro & Iori, Manuel, 2019. "Enhanced arc-flow formulations to minimize weighted completion time on identical parallel machines," European Journal of Operational Research, Elsevier, vol. 275(1), pages 67-79.
    8. Kerem Bülbül & Halil Şen, 2017. "An exact extended formulation for the unrelated parallel machine total weighted completion time problem," Journal of Scheduling, Springer, vol. 20(4), pages 373-389, August.
    9. Berghman, Lotte & Leus, Roel, 2015. "Practical solutions for a dock assignment problem with trailer transportation," European Journal of Operational Research, Elsevier, vol. 246(3), pages 787-799.
    10. Halil Şen & Kerem Bülbül, 2015. "A Strong Preemptive Relaxation for Weighted Tardiness and Earliness/Tardiness Problems on Unrelated Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 135-150, February.
    11. Xiangtong Qi, 2005. "A logistics scheduling model: Inventory cost reduction by batching," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 312-320, June.
    12. 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.
    13. 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.
    14. Zhi Pei & Mingzhong Wan & Ziteng Wang, 2020. "A new approximation algorithm for unrelated parallel machine scheduling with release dates," Annals of Operations Research, Springer, vol. 285(1), pages 397-425, February.
    15. 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.

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Lenstra, J. K. & Rinnooy Kan, A. H. G., 1980. "An Introduction To Multiprocessor Scheduling," Econometric Institute Archives 272258, Erasmus University Rotterdam.
    9. Tzafestas, Spyros & Triantafyllakis, Alekos, 1993. "Deterministic scheduling in computing and manufacturing systems: a survey of models and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 397-434.
    10. 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.
    11. Cheng, T. C. Edwin & Gordon, Valery S. & Kovalyov, Mikhail Y., 1996. "Single machine scheduling with batch deliveries," European Journal of Operational Research, Elsevier, vol. 94(2), pages 277-283, October.
    12. 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.
    13. 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.
    14. 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.
    15. Balireddi, Sindhura & Uhan, Nelson A., 2012. "Cost-sharing mechanisms for scheduling under general demand settings," European Journal of Operational Research, Elsevier, vol. 217(2), pages 270-277.
    16. Kramer, Arthur & Dell’Amico, Mauro & Iori, Manuel, 2019. "Enhanced arc-flow formulations to minimize weighted completion time on identical parallel machines," European Journal of Operational Research, Elsevier, vol. 275(1), pages 67-79.
    17. Bertsimas, Dimitris., 1995. "The achievable region method in the optimal control of queueing systems : formulations, bounds and policies," Working papers 3837-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    18. Bachtenkirch, David & Bock, Stefan, 2022. "Finding efficient make-to-order production and batch delivery schedules," European Journal of Operational Research, Elsevier, vol. 297(1), pages 133-152.
    19. Slotnick, Susan A., 2011. "Order acceptance and scheduling: A taxonomy and review," European Journal of Operational Research, Elsevier, vol. 212(1), pages 1-11, July.
    20. 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.

    More about this item

    Statistics

    Access and download statistics

    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:eee:ejores:v:113:y:1999:i:1:p:91-100. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.