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Single-machine scheduling with a sum-of-actual-processing-time-based learning effect

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  • J-B Wang

    (Shenyang Institute of Aeronautical Engineering)

Abstract

In this paper we consider the single-machine scheduling problems with a sum-of-actual-processing-time-based learning effect. By the sum-of-actual-processing-time-based learning effect, we mean that the processing time of a job is defined by a function of the sum of the actual processing time of the already processed jobs. We show that even with the introduction of the sum-of-actual-processing-time-based learning effect to job processing times, the makespan minimization problem, the total completion time minimization problem, the total completion time square minimization problem, and some special cases of the total weighted completion time minimization problem and the maximum lateness minimization problem remain polynomially solvable, respectively.

Suggested Citation

  • J-B Wang, 2010. "Single-machine scheduling with a sum-of-actual-processing-time-based learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 172-177, January.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:1:d:10.1057_jors.2008.146
    DOI: 10.1057/jors.2008.146
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    References listed on IDEAS

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