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**Minimizing the total completion time in a single-machine scheduling problem with a time-dependent learning effect.**
*(English)*
Zbl 1103.90341

Summary: We introduce a time-dependent learning effect into a single-machine scheduling problem. The time-dependent learning effect of a job is assumed to be a function of total normal processing time of jobs scheduled in front of it. We introduce it into a single-machine scheduling problem and we show that it remains polynomially solvable for the objective, i.e., minimizing the total completion time on a single machine. Moreover, we show that the SPT-sequence is the optimal sequence in this problem.

### MSC:

90B35 | Deterministic scheduling theory in operations research |

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\textit{W.-H. Kuo} and \textit{D.-L. Yang}, Eur. J. Oper. Res. 174, No. 2, 1184--1190 (2006; Zbl 1103.90341)

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### References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.