Determining the Performance Ratio of Algorithm Multifit for Scheduling
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  described an algorithm-MULTIFIT and proved that it satisfies a bound of 1.22. Friesen  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.
KeywordsType Item Performance Ratio Small Item Independent Task Extra Weight
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