Determining the Performance Ratio of Algorithm Multifit for Scheduling

  • Feng Cao
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 4)


Scheduling n independent tasks nonpreemptively on m identical processors with the aim of minimizing the makespan is well-known to be NP-complete. Coffman, Garey and Johnson [1] described an algorithm-MULTIFIT and proved that it satisfies a bound of 1.22. Friesen [2] showed an example in which the upper bound is no less than 13/11. Yue, Keller and Yu proved an upper bound of 1.2. Yue gave a proof for the upper bound of 13/11, but the proof missed some casesIn this paper, a complete and simple proof is presented.


Type Item Performance Ratio Small Item Independent Task Extra Weight 
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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Feng Cao
    • 1
  1. 1.Department of Computer ScienceUniversity of MinnesotaMinneapolisUSA

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