We show by means of examples that Theorems 1-4 in Toksarı et al. [M.D. Toksarı, D. Oron, E. Güner, Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning, Mathematical and Computer Modelling 50 (2009) 401-406] are incorrect.
Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning
✍ Scribed by M. Duran Toksarı; Daniel Oron; Ertan Güner
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 417 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
Job deterioration and machine learning co-exist in various real life scheduling settings. This paper studies several single machine scheduling problems under the joint effect of nonlinear job deterioration and time-dependent learning. We assume that the processing time of a job increases when its processing is delayed. In addition, it is assumed that the machine undergoes a learning process, decreasing the time required to process a given job. The following objectives are considered: the makespan, the sum of completion times (square) and the maximum lateness. We derive polynomial-time optimal solutions for all the objectives.
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