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Zbl 1189.90069
Wang, Ji-Bo
Single machine scheduling with decreasing linear deterioration under precedence constraints. (English)
[J] Comput. Math. Appl. 58, No. 1, 95-103 (2009). ISSN 0898-1221

Summary: This paper deals with single-machine scheduling problems with decreasing linear deterioration, i.e., jobs whose processing times are a decreasing function of their starting times. In addition, the jobs are related by parallel chains and a series-parallel graph precedence constraints, respectively. It is shown that for the problems of minimization of the makespan, polynomial algorithms exist.
MSC 2000:
*90B35 Scheduling theory

Keywords: scheduling; single machine; deteriorating jobs; parallel chains; series-parallel graph; makespan

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