SPT is optimally competitive for uniprocessor flow

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Abstract

We show that the Shortest Processing Time (SPT) algorithm is (Δ+1)/2-competitive for nonpreemptive uniprocessor total flow time with release dates, where Δ is the ratio between the longest and shortest job lengths. This is best possible for a deterministic algorithm and improves on the (Δ+1)-competitive ratio shown by Epstein and van Stee using different methods.

References (7)

  • B. Awerbuch et al.

    Minimizing flow time without migration

  • L. Epstein et al.

    Lower bounds for on-line single-machine scheduling

  • L. Epstein et al.

    Optimal on-line flow time with resource augmentation

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Cited by (4)

1

Partially supported by NSF grant CCR-0093348 and Sandia National Laboratories. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under Contract DE-AC04-94AL85000.

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