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Journal of Discrete Algorithms
Volume 4, Issue 3, September 2006, Pages 339-352
Special issue in honour of Giorgio Ausiello
 
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doi:10.1016/j.jda.2005.12.001    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier B.V. All rights reserved.

Online weighted flow time and deadline scheduling

Luca Becchettia, Corresponding Author Contact Information, 1, E-mail The Corresponding Author, Stefano Leonardia, 1, E-mail The Corresponding Author, Alberto Marchetti-Spaccamelaa, 1, E-mail The Corresponding Author and Kirk Pruhsb, 2, E-mail The Corresponding Author

aDipartimento di Informatica e Sistemistica, Università di Roma “La Sapienza”, Italy bComputer Science Department, University of Pittsburgh, USA

Available online 18 January 2006.

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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

Article Outline

1. Introduction
2. Resource augmentation analysis of P|ri,pmtn|∑wiFi
3. Deadline scheduling problem
4. Conclusions
References




Journal of Discrete Algorithms
Volume 4, Issue 3, September 2006, Pages 339-352
Special issue in honour of Giorgio Ausiello
 
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