Single-machine group scheduling with a time-dependent learning effect
Computers and Operations Research
Some scheduling problems with general position-dependent and time-dependent learning effects
Information Sciences: an International Journal
Experience-based approach to scheduling problems with the learning effect
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Information Sciences: an International Journal
Information Sciences: an International Journal
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In this paper, three single-machine scheduling problems with time-dependent learning effect model to minimize the sum of weighted completion times, the sum of the kth powers of completion times and the maximum lateness are investigated. We show that the shortest processing time first (SPT) rule is an optimal solution for the problem to minimize the sum of the kth powers of completion times. Some polynomial time solutions are provided for the other two problems under certain conditions, respectively.