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Computational complexity of the single processor makespan minimization problem with release dates and job-dependent learning

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  • R Rudek

    (Wrocław University of Economics, Wrocław, Poland)

Abstract

In this paper, we analyse the single processor maximum completion time (makespan) minimization problem with distinct release dates of jobs and the sum-of-processing time-based learning effect. We prove that the considered problem is strongly NP-hard, if, in addition to jobs with the same learning ratio, there are jobs with constant job processing times. Such jobs are not affected by learning and model, for instance, required system upgrades or training courses.

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  • R Rudek, 2014. "Computational complexity of the single processor makespan minimization problem with release dates and job-dependent learning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(8), pages 1170-1176, August.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:8:p:1170-1176
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    Cited by:

    1. Zhongyi Jiang & Fangfang Chen & Xiandong Zhang, 2017. "Single-machine scheduling with times-based and job-dependent learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 809-815, July.

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