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Single-machine time-dependent scheduling problems with fixed rate-modifying activities and resumable jobs

Author

Listed:
  • Anna Arigliano

    (Università del Salento)

  • Gianpaolo Ghiani

    (Università del Salento)

  • Antonio Grieco

    (Università del Salento)

  • Emanuela Guerriero

    (Università del Salento)

Abstract

In this paper, we deal with single machine scheduling problems subject to time dependent effects. The main point in our models is that we do not assume a constant processing rate during job processing time. Rather, processing rate changes according to a fixed schedule of activities, such as replacing a human operator by a less skilled operator. The contribution of this paper is threefold. First, we devise a time-dependent piecewise constant processing rate model and show how to compute processing time for a resumable job. Second, we prove that any time-dependent continuous piecewise linear processing time model can be generated by the proposed rate model. Finally, we propose polynomial-time algorithms for some single machine problems with job independent rate function. In these procedures the job-independent rate effect does not imply any restriction on the number of breakpoints for the corresponding continuous piecewise linear processing time model. This is a clear element of novelty with respect to the polynomial-time algorithms proposed in previous contributions for time-dependent scheduling problems.

Suggested Citation

  • Anna Arigliano & Gianpaolo Ghiani & Antonio Grieco & Emanuela Guerriero, 2017. "Single-machine time-dependent scheduling problems with fixed rate-modifying activities and resumable jobs," 4OR, Springer, vol. 15(2), pages 201-215, June.
    • Handle: RePEc:spr:aqjoor:v:15:y:2017:i:2:d:10.1007_s10288-016-0333-z
    DOI: 10.1007/s10288-016-0333-z
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    References listed on IDEAS

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    Cited by:

    1. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.

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