Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142484 | Operations Research Letters | 2011 | 5 Pages |
Abstract
In a well-known paper from 1986, Kawaguchi and Kyan proved that the Largest-Ratio-First rule for total weighted completion time scheduling on identical parallel machines has a worst case ratio of 12(1+2). We provide an alternative and simple proof for this result.
► Kawaguchi and Kyan proved a worst case ratio for Largest-Ratio-First scheduling. ► The original proof is rather long and involved. ► We provide an alternative proof by showing sets of simple worst case instances.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Uwe Schwiegelshohn,