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Online weighted flow time and deadline scheduling
Authors:Luca Becchetti  Stefano Leonardi  Alberto Marchetti-Spaccamela  Kirk Pruhs  
Institution:aDipartimento di Informatica e Sistemistica, Università di Roma “La Sapienza”, Italy;bComputer Science Department, University of Pittsburgh, USA
Abstract:In this paper we study some aspects of weighted flow time. We first show that the online algorithm Highest Density First is an O(1)-speed O(1)-approximation algorithm for P|ri,pmtn|∑wiFi. We then consider a related Deadline Scheduling Problem that involves minimizing the weight of the jobs unfinished by some unknown deadline D on a uniprocessor. We show that any c-competitive online algorithm for weighted flow time must also be c-competitive for deadline scheduling. We then give an O(1)-competitive algorithm for deadline scheduling.
Keywords:Scheduling  Weighted flow time  On-line
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