A Note on NP-Hardness of Preemptive Mean Flow-Time Scheduling for Parallel Machines
- Bellenguez-Morineau, Odile
- Chrobak, Marek
- Dürr, Christoph
- Prot, Damien
Publication date
January 2015
DOI Publisher
Springer Science and Business Media LLCAbstract
International audienceIn the paper “The complexity of mean flow time scheduling problems with release times”, by Baptiste, Brucker, Chrobak, Dürr, Kravchenko and Sourd, the authors claimed to prove strong NP -hardness of the scheduling problem P|pmtn,rj|∑Cj , namely multiprocessor preemptive scheduling where the objective is to minimize the mean flow time. We point out a serious error in their proof and give a new proof of strong NP -hardness for this problem
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