Scheduling around a small common due date

J.A. Hoogeveen, S.L. Velde, van de

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    105 Citations (Scopus)
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    Abstract

    A set of n jobs has to be scheduled on a single machine which can handle only one job at a time. Each job requires a given positive uninterrupted processing time and has a positive weight. The problem is to find a schedule that minimizes the sum of weighted deviations of the job completion times from a given common due date d, which is smaller than the sum of the processing times. We prove that this problem is NP-hard even if all job weights are equal. In addition, we present a pseudopolynomial algorithm that requires O(n2d) time and O(nd) space.
    Original languageEnglish
    Pages (from-to)237-242
    Number of pages6
    JournalEuropean Journal of Operational Research
    Volume55
    Issue number2
    DOIs
    Publication statusPublished - 1991

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