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I am trying to solve a preemptive multi-core scheduling problem, where the input is the tasks. The number of cores M can be decided after seeing the input tasks. I need to output the minimal M such that the run time is as long as the maximal task length.

I feel this is related to bin packing with fragmentation, but fragmentation does not require linear constraints.

I doubt I am the first to study this problem but have been unable to find a name for this problem. Does it have a name?

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    $\begingroup$ The name of this kind of problems is "work-stealing scheduling". You can find thousands of papers on Google using this keyword $\endgroup$
    – Lamine
    Aug 12, 2021 at 15:47
  • $\begingroup$ That has dynamically spawns threads for a fixed number of cores. In my problem, the cores is the unknown. $\endgroup$
    – Blue Granny
    Aug 12, 2021 at 16:53

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