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Kuo, Wen-Hung; Yang, Dar-Li

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

Eur. J. Oper. Res. 174, No. 2, 1184-1190 (2006).
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.

Cited in 89 Documents

MSC:

90B35 Deterministic scheduling theory in operations research

Keywords:

scheduling; time-dependent; learning effect; single machine
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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)
Full Text: DOI

References:

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