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Journal of Scheduling

, Volume 18, Issue 3, pp 325–327 | Cite as

A note on the Coffman–Sethi bound for LPT scheduling

  • James D. BlocherEmail author
  • Sergey Sevastyanov
Article

Abstract

Makespan minimization on a set of parallel machines is one of the most widely studied problems in scheduling theory. A new result is presented which improves on the classical Coffman–Sethi a posteriori bound on the relative error of the LPT algorithm. It is shown that the ratio of these two bounds (the old one to the new one) can be arbitrarily large.

Keywords

Identical parallel machines Makespan minimization  LPT algorithm Coffman–Sethi Scheduling 

Notes

Acknowledgments

Research by the second author was supported by the Russian Foundation for Humanities (Grant No. 13-22-10002).

References

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Kelley School of BusinessIndiana UniversityBloomingtonUSA
  2. 2.Sobolev Institute of MathematicsNovosibirsk State UniversityNovosibirskRussia

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