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Some scheduling problems with general position-dependent and time-dependent learning effects. (English) Zbl 1166.90342

Summary: In scheduling problems with learning effects, most of the research is based on specific learning functions. In this paper, we develop a general model with learning effects where the actual processing time of a job is not only a function of the total normal processing times of the jobs already processed, but also a function of the job’s scheduled position. In particular, it is shown that some single machine scheduling problems and \(m\)-machine permutation flowshop problems are still polynomially solvable under the proposed model. These results are significant extensions of some of the existing results on learning effects in the literature.

MSC:

90B35 Deterministic scheduling theory in operations research
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