Abstract
We give a complement note on the proof of the NP-hardness of preemptive acyclic open-shop problem presented earlier by the authors in Ann. Oper. Res. 159:183–213, 2008.
References
Gonzalez, T., & Sahni, S. (1976). Open shop scheduling to minimize finish time. Journal of the ACM, 23, 665–679.
Shchepin, E., & Vakhania, N. (2005). New tight NP-hardness of preemptive multiprocessor and open-shop scheduling. In Proceedings of 2nd multidisciplinary international conference on scheduling: theory and applications MISTA 2005 (pp. 606–629).
Shchepin, E., & Vakhania, N. (2008). On the geometry, preemptions and complexity of multiprocessor and open shop scheduling. Annals of Operation Research, 159, 183–213.
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E.V. Shchepin partially supported by the program “Algebraical and combinatorial methods of mathematical cybernetics” of the Russian Academy of Sciences.
N. Vakhania partially supported by CONACyT grant 48433.
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Shchepin, E.V., Vakhania, N. A note on the proof of the complexity of the little-preemptive open-shop problem. Ann Oper Res 191, 251–253 (2011). https://doi.org/10.1007/s10479-011-0975-3
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DOI: https://doi.org/10.1007/s10479-011-0975-3