An improved lower bound for a bi-criteria scheduling problem

@article{Yan2008AnIL,
  title={An improved lower bound for a bi-criteria scheduling problem},
  author={Jin Yan},
  journal={Oper. Res. Lett.},
  year={2008},
  volume={36},
  pages={57-60}
}
For the bi-criteria scheduling problem of minimizing the sum of completion times and the sum of weighted completion times, min-sum of weighted completion times, we prove that there exists no constant > 1 such that (1 + 1/ , )-approximate schedules can be found for any > 0. This result confirms a recently published conjecture. © 2007 Published by Elsevier B.V. 

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