Approximating total flow time on parallel machines
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Minimizing the flow time without migration
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Approximability and Nonapproximability Results for Minimizing Total Flow Time on a Single Machine
SIAM Journal on Computing
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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.