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Online Non-preemptive Scheduling to Minimize Maximum Weighted Flow-time on Related Machines

Abstract : We consider the problem of scheduling jobs to minimize the maximum weighted flow-timeon a set of related machines. When jobs can be preempted this problem is well-understood; forexample, there exists a constant competitive algorithm using speed augmentation. When jobs mustbe scheduled non-preemptively, only hardness results are known. In this paper, we present thefirst online guarantees for the non-preemptive variant. We present the first constant competitivealgorithm for minimizing the maximum weighted flow-time on related machines by relaxing theproblem and assuming that the online algorithm can reject a small fraction of the total weight ofjobs. This is essentially the best result possible given the strong lower bounds on the non-preemptiveproblem without rejection.
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https://hal.archives-ouvertes.fr/hal-02416965
Contributor : Frédéric Davesne <>
Submitted on : Tuesday, December 17, 2019 - 9:59:43 PM
Last modification on : Thursday, November 19, 2020 - 1:02:12 PM

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  • HAL Id : hal-02416965, version 1

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Giorgio Lucarelli, Benjamin Moseley, Kim Thang Nguyen, Abhinav Srivastav, Denis Trystram. Online Non-preemptive Scheduling to Minimize Maximum Weighted Flow-time on Related Machines. 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019), Dec 2019, Bombay, India. ⟨hal-02416965⟩

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