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Minimizing the total weighted completion time of deteriorating jobs. (English) Zbl 1032.68019
Summary: The paper deals with a single machine problem of scheduling jobs with start time dependent processing times to minimize the total weighted completion time. The computational complexity of this problem was unknown for ten years. We prove that the problem is NP-hard.

68M20Performance evaluation of computer systems; queueing; scheduling
Full Text: DOI
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