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Zbl 1201.90090
Wei, Cai-Min; Wang, Ji-Bo
Single machine quadratic penalty function scheduling with deteriorating jobs and group technology.
(English)
[J] Appl. Math. Modelling 34, No. 11, 3642-3647 (2010). ISSN 0307-904X

Summary: This paper considers single machine scheduling problems with group technology (GT) and deteriorating jobs. We consider the case of jobs whose processing times are a simple linear function of their starting time. The two objectives of scheduling problems are to minimize the weighted sum of squared completion times and the weighted sum of squared waiting times, respectively. We also provide polynomial time algorithms to solve these problems.
MSC 2000:
*90B35 Scheduling theory

Keywords: scheduling; single machine; deteriorating jobs; group technology

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

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