New lower and upper bounds for on-line scheduling

B. Chen, A. Vliet, van, G.J. Woeginger

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    60 Citations (Scopus)
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    Abstract

    We investigate the problem of on-line scheduling a set of independent jobs on m parallel and identical machines with the objective of minimizing the overall finishing time. In this note, we are mainly interested in the cases where m is small. We derive results on the inevitable worst-case deviations from the optimum as encountered by any on-line algorithm. For m = 2 and m = 3, Graham's List Scheduling heuristic is known to be best possible. For m = 4, we will derive almost matching upper and lower bounds on the best possible worst-case guarantee for any on-line algorithm.
    Original languageEnglish
    Pages (from-to)221-230
    Number of pages10
    JournalOperations Research Letters
    Volume16
    Issue number4
    DOIs
    Publication statusPublished - 1994

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