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Koulamas, Christos; Kyparisis, George J.

Single-machine and two-machine flowshop scheduling with general learning functions. (English) Zbl 1107.90018

Eur. J. Oper. Res. 178, No. 2, 402-407 (2007).
Summary: We show that the \(O(n \log n)\) (where \(n\) is the number of jobs) shortest processing time (SPT) sequence is optimal for the single-machine makespan and total completion time minimization problems when learning is expressed as a function of the sum of the processing times of the already processed jobs. We then show that the two-machine flowshop makespan and total completion time minimization problems are solvable by the SPT sequencing rule when the job processing times are ordered and job-position-based learning is in effect. Finally, we show that when the more specialized proportional job processing times are in place, then our flowshop results apply also in the more general sum-of-job-processing-times-based learning environment.

Cited in 1 Review
Cited in 74 Documents

MSC:

90B35 Deterministic scheduling theory in operations research

Keywords:

scheduling; single machine; flowshop; shortest processing time; learning; optimal algorithms
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\textit{C. Koulamas} and \textit{G. J. Kyparisis}, Eur. J. Oper. Res. 178, No. 2, 402--407 (2007; Zbl 1107.90018)
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References:

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