Journal
APPLIED MATHEMATICAL MODELLING
Volume 39, Issue 2, Pages 415-424Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2014.05.036
Keywords
Learning effect; Forgetting effect; Makespan; Completion time
Funding
- National Science Council of Taiwan [NSC 101-2221-E-035-021]
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In this note, we investigate some single-machine problems with both the learning and forgetting effects. A model based on sum-of-processing-time-based learning and forgetting effects are proposed, including some existing models as special cases of our model. Under the proposed model, we derive the optimal solutions for some single-machine problems. Several helpful lemmas are provided to prove various objective functions: the makespan, the total completion time, the total weighted completion time, the total tardiness, and the maximum lateness. (C) 2014 Elsevier Inc. All rights reserved.
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