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Preemptive scheduling in a two-stage multiprocessor flow shop is NP-hard

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  • Hoogeveen, J. A.
  • Lenstra, J. K.
  • Veltman, B.

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  • Hoogeveen, J. A. & Lenstra, J. K. & Veltman, B., 1996. "Preemptive scheduling in a two-stage multiprocessor flow shop is NP-hard," European Journal of Operational Research, Elsevier, vol. 89(1), pages 172-175, February.
    • Handle: RePEc:eee:ejores:v:89:y:1996:i:1:p:172-175
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    References listed on IDEAS

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    1. Robert McNaughton, 1959. "Scheduling with Deadlines and Loss Functions," Management Science, INFORMS, vol. 6(1), pages 1-12, October.
    2. Brah, Shaukat A. & Hunsucker, John L., 1991. "Branch and bound algorithm for the flow shop with multiple processors," European Journal of Operational Research, Elsevier, vol. 51(1), pages 88-99, March.
    3. Sriskandarajah, C. & Sethi, S. P., 1989. "Scheduling algorithms for flexible flowshops: Worst and average case performance," European Journal of Operational Research, Elsevier, vol. 43(2), pages 143-160, November.
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    Cited by:

    1. Janiak, Adam & Kozan, Erhan & Lichtenstein, Maciej & Oguz, Ceyda, 2007. "Metaheuristic approaches to the hybrid flow shop scheduling problem with a cost-related criterion," International Journal of Production Economics, Elsevier, vol. 105(2), pages 407-424, February.
    2. Moursli, O. & Pochet, Y., 2000. "A branch-and-bound algorithm for the hybrid flowshop," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 113-125, March.
    3. Kis, Tamas & Pesch, Erwin, 2005. "A review of exact solution methods for the non-preemptive multiprocessor flowshop problem," European Journal of Operational Research, Elsevier, vol. 164(3), pages 592-608, August.
    4. F Sivrikaya şerifoğlu & G Ulusoy, 2004. "Multiprocessor task scheduling in multistage hybrid flow-shops: a genetic algorithm approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(5), pages 504-512, May.
    5. Figielska, Ewa, 2014. "A heuristic for scheduling in a two-stage hybrid flowshop with renewable resources shared among the stages," European Journal of Operational Research, Elsevier, vol. 236(2), pages 433-444.
    6. Zhang, Xiandong & van de Velde, Steef, 2012. "Approximation algorithms for the parallel flow shop problem," European Journal of Operational Research, Elsevier, vol. 216(3), pages 544-552.
    7. Kamran Kianfar & Arezoo Atighehchian, 2023. "A hybrid heuristic approach to master surgery scheduling with downstream resource constraints and dividable operating room blocks," Annals of Operations Research, Springer, vol. 328(1), pages 727-754, September.
    8. Kyparisis, George J. & Koulamas, Christos, 2006. "Flexible flow shop scheduling with uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 168(3), pages 985-997, February.
    9. Bertel, S. & Billaut, J. -C., 2004. "A genetic algorithm for an industrial multiprocessor flow shop scheduling problem with recirculation," European Journal of Operational Research, Elsevier, vol. 159(3), pages 651-662, December.
    10. Negenman, Ebbe G., 2001. "Local search algorithms for the multiprocessor flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 128(1), pages 147-158, January.
    11. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.
    12. Byung-Cheon Choi & Kangbok Lee, 2013. "Two-stage proportionate flexible flow shop to minimize the makespan," Journal of Combinatorial Optimization, Springer, vol. 25(1), pages 123-134, January.
    13. Niu, Qun & Zhou, Taijin & Fei, Minrui & Wang, Bing, 2012. "An efficient quantum immune algorithm to minimize mean flow time for hybrid flow shop problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 1-25.
    14. Mohamed Haouari & Lotfi Hidri & Anis Gharbi, 2006. "Optimal Scheduling of a Two-stage Hybrid Flow Shop," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 107-124, August.
    15. Christos Koulamas & George J. Kyparisis, 2000. "Asymptotically optimal linear time algorithms for two‐stage and three‐stage flexible flow shops," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(3), pages 259-268, April.
    16. Djellab, Housni & Djellab, Khaled, 2002. "Preemptive Hybrid Flowshop Scheduling problem of interval orders," European Journal of Operational Research, Elsevier, vol. 137(1), pages 37-49, February.
    17. Gerstl, Enrique & Mosheiov, Gur, 2014. "A two-stage flexible flow shop problem with unit-execution-time jobs and batching," International Journal of Production Economics, Elsevier, vol. 158(C), pages 171-178.
    18. Jianming Dong & Joshua Chang & Bing Su & Jueliang Hu & Guohui Lin, 2020. "Two-stage open-shop scheduling with a two-machine flow shop as a stage: approximation algorithms and empirical experiments," Journal of Scheduling, Springer, vol. 23(5), pages 595-608, October.
    19. 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.
    20. A. G. Leeftink & R. J. Boucherie & E. W. Hans & M. A. M. Verdaasdonk & I. M. H. Vliegen & P. J. Diest, 2018. "Batch scheduling in the histopathology laboratory," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 171-197, June.
    21. George J. Kyparisis & Christos Koulamas, 2002. "Assembly-Line Scheduling with Concurrent Operations and Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 14(1), pages 68-80, February.
    22. Joaquín Bautista-Valhondo & Rocío Alfaro-Pozo, 2020. "Mixed integer linear programming models for Flow Shop Scheduling with a demand plan of job types," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 5-23, March.

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