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Identical parallel machines vs. unit-time shops and preemptions vs. chains in scheduling complexity

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  • Timkovsky, Vadim G.

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  • Timkovsky, Vadim G., 2003. "Identical parallel machines vs. unit-time shops and preemptions vs. chains in scheduling complexity," European Journal of Operational Research, Elsevier, vol. 149(2), pages 355-376, September.
    • Handle: RePEc:eee:ejores:v:149:y:2003:i:2:p:355-376
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    2. M.I. Dessouky & B.J. Lageweg & J.K. Lenstra & S.L. van de Velde, 1990. "Scheduling identical jobs on uniform parallel machines," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 44(3), pages 115-123, September.
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    8. Gladky, A. A., 1997. "A two-machine preemptive openshop scheduling problem: An elementary proof of NP-completeness," European Journal of Operational Research, Elsevier, vol. 103(1), pages 113-116, November.
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    10. Robert McNaughton, 1959. "Scheduling with Deadlines and Loss Functions," Management Science, INFORMS, vol. 6(1), pages 1-12, October.
    11. Joseph Y.-T. Leung & Gilbert H. Young, 1990. "Minimizing Total Tardiness on a Single Machine with Precedence Constraints," INFORMS Journal on Computing, INFORMS, vol. 2(4), pages 346-352, November.
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    14. E. L. Lawler & C. U. Martel, 1989. "Preemptive Scheduling of Two Uniform Machines to Minimize the Number of Late Jobs," Operations Research, INFORMS, vol. 37(2), pages 314-318, April.
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    16. Kubiak, Wieslaw & Timkovsky, Vadim, 1996. "Total completion time minimization in two-machine job shops with unit-time operations," European Journal of Operational Research, Elsevier, vol. 94(2), pages 310-320, October.
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    18. Martin Middendorf & Vadim G. Timkovsky, 1999. "Transversal Graphs for Partially Ordered Sets: Sequencing, Merging and Scheduling Problems," Journal of Combinatorial Optimization, Springer, vol. 3(4), pages 417-435, December.
    19. Yookun Cho & Sartaj Sahni, 1981. "Preemptive Scheduling of Independent Jobs with Release and Due Times on Open, Flow and Job Shops," Operations Research, INFORMS, vol. 29(3), pages 511-522, June.
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    Cited by:

    1. 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.
    2. D. Prot & O. Bellenguez-Morineau, 2018. "A survey on how the structure of precedence constraints may change the complexity class of scheduling problems," Journal of Scheduling, Springer, vol. 21(1), pages 3-16, February.
    3. Markó Horváth & Tamás Kis, 2020. "Polyhedral results for position-based scheduling of chains on a single machine," Annals of Operations Research, Springer, vol. 284(1), pages 283-322, January.

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