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The strong NP-hardness of the maximum lateness minimization scheduling problem with the processing-time based aging effect. (English) Zbl 1237.90096
Summary: We analyse the single machine maximum lateness minimization scheduling problem with the processing time based aging effect, where the processing time of each job is described by a non-decreasing function dependent on the sum of the normal processing times of preceded jobs. The computational complexity of this problem was not determined. However, we show it is strongly NP-hard by proving the strong NP-hardness of the single machine maximum completion time minimization problem with this aging model and job deadlines. Furthermore, we determine the boundary between polynomially solvable and NP-hard cases.

90B35Scheduling theory, deterministic
68Q25Analysis of algorithms and problem complexity
Full Text: DOI
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