IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v47y1999i1p165-170.html
   My bibliography  Save this article

A Simple Heuristic for m-Machine Flow-Shop and its Applications in Routing-Scheduling Problems

Author

Listed:
  • Igor Averbakh

    (Western Washington University, Bellingham, Washington)

  • Oded Berman

    (University of Toronto, Toronto, Ontario, Canada)

Abstract

We consider the routing-scheduling version of the flow-shop problem, where n jobs located at different nodes of a transportation network must be executed by m machines (servers) travelling between the jobs. The objective is to minimize the makespan. For this problem, we present a simple heuristic and analyze its worst-case performance.

Suggested Citation

  • Igor Averbakh & Oded Berman, 1999. "A Simple Heuristic for m-Machine Flow-Shop and its Applications in Routing-Scheduling Problems," Operations Research, INFORMS, vol. 47(1), pages 165-170, February.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:1:p:165-170
    DOI: 10.1287/opre.47.1.165
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.47.1.165
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.47.1.165?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. Teofilo Gonzalez & Sartaj Sahni, 1978. "Flowshop and Jobshop Schedules: Complexity and Approximation," Operations Research, INFORMS, vol. 26(1), pages 36-52, February.
    2. Matteo Fischetti & Gilbert Laporte & Silvano Martello, 1993. "The Delivery Man Problem and Cumulative Matroids," Operations Research, INFORMS, vol. 41(6), pages 1055-1064, December.
    3. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    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. Ilya Chernykh & Alexander Kononov & Sergey Sevastyanov, 2024. "An exact solution with an improved running time for the routing flow shop problem with two machines," Journal of Scheduling, Springer, vol. 27(4), pages 329-340, August.
    2. Averbakh, Igor & Berman, Oded & Chernykh, Ilya, 2005. "A -approximation algorithm for the two-machine routing open-shop problem on a two-node network," European Journal of Operational Research, Elsevier, vol. 166(1), pages 3-24, October.
    3. Yu, Wei & Liu, Zhaohui & Wang, Leiyang & Fan, Tijun, 2011. "Routing open shop and flow shop scheduling problems," European Journal of Operational Research, Elsevier, vol. 213(1), pages 24-36, August.
    4. Zelda B. Zabinsky & Pattamon Dulyakupt & Shabnam Zangeneh-Khamooshi & Cao Xiao & Pengbo Zhang & Seksan Kiatsupaibul & Joseph A. Heim, 2020. "Optimal collection of medical specimens and delivery to central laboratory," Annals of Operations Research, Springer, vol. 287(1), pages 537-564, April.
    5. Averbakh, Igor & Berman, Oded & Chernykh, Ilya, 2006. "The routing open-shop problem on a network: Complexity and approximation," European Journal of Operational Research, Elsevier, vol. 173(2), pages 531-539, September.
    6. Gupta, Jatinder N.D. & Koulamas, Christos & Kyparisis, George J., 2006. "Performance guarantees for flowshop heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 169(3), pages 865-872, March.
    7. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    8. Hosseini, Amir & Otto, Alena & Pesch, Erwin, 2024. "Scheduling in manufacturing with transportation: Classification and solution techniques," European Journal of Operational Research, Elsevier, vol. 315(3), pages 821-843.
    9. J M Framinan & J N D Gupta & R Leisten, 2004. "A review and classification of heuristics for permutation flow-shop scheduling with makespan objective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1243-1255, December.
    10. Antonina P. Khramova & Ilya Chernykh, 2021. "A new algorithm for the two-machine open shop and the polynomial solvability of a scheduling problem with routing," Journal of Scheduling, Springer, vol. 24(4), pages 405-412, August.

    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. Gupta, Jatinder N.D. & Koulamas, Christos & Kyparisis, George J., 2006. "Performance guarantees for flowshop heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 169(3), pages 865-872, March.
    2. T.C.E. Cheng & B.M.T. Lin & A. Toker, 2000. "Makespan minimization in the two‐machine flowshop batch scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(2), pages 128-144, March.
    3. Monaci, Marta & Agasucci, Valerio & Grani, Giorgio, 2024. "An actor-critic algorithm with policy gradients to solve the job shop scheduling problem using deep double recurrent agents," European Journal of Operational Research, Elsevier, vol. 312(3), pages 910-926.
    4. Jansen, Klaus & Mastrolilli, Monaldo & Solis-Oba, Roberto, 2005. "Approximation schemes for job shop scheduling problems with controllable processing times," European Journal of Operational Research, Elsevier, vol. 167(2), pages 297-319, December.
    5. Kameng Nip & Zhenbo Wang & Fabrice Talla Nobibon & Roel Leus, 2015. "A combination of flow shop scheduling and the shortest path problem," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 36-52, January.
    6. Yong Chen & Yinhui Cai & Longcheng Liu & Guangting Chen & Randy Goebel & Guohui Lin & Bing Su & An Zhang, 2022. "Path cover with minimum nontrivial paths and its application in two-machine flow-shop scheduling with a conflict graph," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 571-588, April.
    7. He, Zesheng & Yang, Taeyong & Tiger, Andy, 1996. "An exchange heuristic imbedded with simulated annealing for due-dates job-shop scheduling," European Journal of Operational Research, Elsevier, vol. 91(1), pages 99-117, May.
    8. Blazewicz, Jacek & Domschke, Wolfgang & Pesch, Erwin, 1996. "The job shop scheduling problem: Conventional and new solution techniques," European Journal of Operational Research, Elsevier, vol. 93(1), pages 1-33, August.
    9. Wieslaw Kubiak & Yanling Feng & Guo Li & Suresh P. Sethi & Chelliah Sriskandarajah, 2020. "Efficient algorithms for flexible job shop scheduling with parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(4), pages 272-288, June.
    10. K Sheibani, 2010. "A fuzzy greedy heuristic for permutation flow-shop scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 813-818, May.
    11. Jianming Dong & Yong Chen & An Zhang & Qifan Yang, 2013. "A new three-machine shop scheduling: complexity and approximation algorithm," Journal of Combinatorial Optimization, Springer, vol. 26(4), pages 799-810, November.
    12. Gerardo Minella & Rubén Ruiz & Michele Ciavotta, 2008. "A Review and Evaluation of Multiobjective Algorithms for the Flowshop Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 451-471, August.
    13. 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.
    14. D Bai & L Tang, 2010. "New heuristics for flow shop problem to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1032-1040, June.
    15. J. A. Hoogeveen & T. Kawaguchi, 1999. "Minimizing Total Completion Time in a Two-Machine Flowshop: Analysis of Special Cases," Mathematics of Operations Research, INFORMS, vol. 24(4), pages 887-910, November.
    16. Jianming Dong & Ruyan Jin & Jueliang Hu & Guohui Lin, 2019. "A fully polynomial time approximation scheme for scheduling on parallel identical two-stage openshops," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 668-684, February.
    17. Shabtay, Dvir & Gilenson, Miri, 2023. "A state-of-the-art survey on multi-scenario scheduling," European Journal of Operational Research, Elsevier, vol. 310(1), pages 3-23.
    18. Mehravaran, Yasaman & Logendran, Rasaratnam, 2012. "Non-permutation flowshop scheduling in a supply chain with sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 135(2), pages 953-963.
    19. Zhengcai Cao & Lijie Zhou & Biao Hu & Chengran Lin, 2019. "An Adaptive Scheduling Algorithm for Dynamic Jobs for Dealing with the Flexible Job Shop Scheduling Problem," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 61(3), pages 299-309, June.
    20. Shen, Liji & Buscher, Udo, 2012. "Solving the serial batching problem in job shop manufacturing systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 14-26.

    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:47:y:1999:i:1:p:165-170. 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.