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A polynomial-time algorithm for the preemptive mixed-shop problem with two unit operations per job

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Abstract

In a so-called mixed-shop scheduling problem, the operations of some jobs have to be processed in a fixed order (as in the job-shop problem); the other ones can be processed in an arbitrary order (as in the open-shop problem). In this paper we present a new exact polynomial-time algorithm for the mixed-shop problems with preemptions and at most two unit operations per job.

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Acknowledgments

We thank anonymous reviewers for their thorough and constructive comments. This work was supported in part by the RFH-NSC grant 13-22-10002.

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, Russia

    Aldar Dugarzhapov & Alexander Kononov

  2. École Polytechnique, Palaiseau, France

    Aldar Dugarzhapov

  3. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Alexander Kononov

Authors
  1. Aldar Dugarzhapov
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  2. Alexander Kononov
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Correspondence to Alexander Kononov.

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Dugarzhapov, A., Kononov, A. A polynomial-time algorithm for the preemptive mixed-shop problem with two unit operations per job. J Sched 19, 61–72 (2016). https://doi.org/10.1007/s10951-015-0454-9

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  • DOI: https://doi.org/10.1007/s10951-015-0454-9

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