An optimal online algorithm for single machine scheduling to minimize total general completion time
β Scribed by Ming Liu; Chengbin Chu; Yinfeng Xu; Jiazhen Huo
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 335 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1382-6905
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## Abstract In this paper the __n__/1/__r__~j~ Ξ£~j~ __w__~__j__~ __C__~__j__~ problem under the assumptions of nonpreemptive sequencing and sequence independent processing times is investigated. After pointing out the fundamental properties, some dominance sufficient conditions among sequences are
We study the problem of scheduling a single machine with the precedence relation on the set of jobs to minimize average weighted completion time. The problem is strongly NP-hard. The ΓΏrst combinatorial 2-approximation algorithm for this scheduling problem was developed by the author in 1992 (in fact