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Zbl 1032.68019
Bachman, Aleksander; Janiak, Adam; Kovalyov, Mikhail Y.
Minimizing the total weighted completion time of deteriorating jobs.
(English)
[J] Inf. Process. Lett. 81, No.2, 81-84 (2002). ISSN 0020-0190

Summary: The paper deals with a single machine problem of scheduling jobs with start time dependent processing times to minimize the total weighted completion time. The computational complexity of this problem was unknown for ten years. We prove that the problem is NP-hard.
MSC 2000:
*68M20 Performance evaluation of computer systems, etc.

Keywords: Scheduling; Computational complexity; Start time dependent processing time; Deteriorating job; Single machine

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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