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Complexity Results for Flow-Shop and Open-Shop Scheduling Problems with Transportation Delays

Author

Listed:
  • Peter Brucker
  • Sigrid Knust
  • T.C. Cheng
  • Natalia Shakhlevich

Abstract

We consider shop problems with transportation delays where not only the jobs on the machines have to be scheduled, but also transportation of the jobs between the machines has to be taken into account. Jobs consisting of a given number of operations have to be processed on machines in such a way that each machine processes at most one operation at a time and a job is not processed by more than one machine simultaneously. Transportation delays occur if a job changes from one machine to another. The objective is to find a feasible schedule which minimizes some objective function. A survey of known complexity results for flow-shop and open-shop environments is given and some new complexity results are derived. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Peter Brucker & Sigrid Knust & T.C. Cheng & Natalia Shakhlevich, 2004. "Complexity Results for Flow-Shop and Open-Shop Scheduling Problems with Transportation Delays," Annals of Operations Research, Springer, vol. 129(1), pages 81-106, July.
    • Handle: RePEc:spr:annopr:v:129:y:2004:i:1:p:81-106:10.1023/b:anor.0000030683.64615.c8
    DOI: 10.1023/B:ANOR.0000030683.64615.c8
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    Citations

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    Cited by:

    1. Hans Kellerer & Alan J. Soper & Vitaly A. Strusevich, 2013. "Preemptive scheduling on two identical parallel machines with a single transporter," Journal of Combinatorial Optimization, Springer, vol. 25(2), pages 279-307, February.
    2. Mejía, Gonzalo & Yuraszeck, Francisco, 2020. "A self-tuning variable neighborhood search algorithm and an effective decoding scheme for open shop scheduling problems with travel/setup times," European Journal of Operational Research, Elsevier, vol. 285(2), pages 484-496.
    3. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.
    4. Mansini, Renata & Zanella, Marina & Zanotti, Roberto, 2023. "Optimizing a complex multi-objective personnel scheduling problem jointly complying with requests from customers and staff," Omega, Elsevier, vol. 114(C).
    5. Min, Yun-Hong & Park, Myoung-Ju & Hong, Sung-Pil & Hong, Soon-Heum, 2011. "An appraisal of a column-generation-based algorithm for centralized train-conflict resolution on a metropolitan railway network," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 409-429, February.
    6. Lin-Hui Sun & Kai Cui & Ju-Hong Chen & Jun Wang & Xian-Chen He, 2013. "Some results of the worst-case analysis for flow shop scheduling with a learning effect," Annals of Operations Research, Springer, vol. 211(1), pages 481-490, December.
    7. Ward Passchyn & Frits C. R. Spieksma, 2019. "Scheduling parallel batching machines in a sequence," Journal of Scheduling, Springer, vol. 22(3), pages 335-357, June.
    8. Qi, Xiangtong, 2011. "Outsourcing and production scheduling for a two-stage flow shop," International Journal of Production Economics, Elsevier, vol. 129(1), pages 43-50, January.
    9. 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.
    10. E. Dhouib & J. Teghem & T. Loukil, 2018. "Non-permutation flowshop scheduling problem with minimal and maximal time lags: theoretical study and heuristic," Annals of Operations Research, Springer, vol. 267(1), pages 101-134, August.
    11. Wiesław Kubiak, 2023. "On the complexity of open shop scheduling with time lags," Journal of Scheduling, Springer, vol. 26(3), pages 331-334, June.

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