Please use this identifier to cite or link to this item:
Title: A new algorithm for online uniform-machine scheduling to minimize the makespan
Authors: Cheng, T. C. Edwin
Ng, Chi-to Daniel
Kotov, Vladimir
Subjects: Online algorithms
Competitive ratio
Multi-machine scheduling
Uniform machines
Issue Date: 16-Aug-2006
Publisher: Elsevier
Source: Information processing letters, Aug. 2006, v. 99, no. 3, p. 102-105.
Abstract: We consider the online scheduling problem with m−1, m≥2, uniform machines each with a processing speed of 1, and one machine with a speed of s, 1≤s≤2, to minimize the makespan. The well-known list scheduling (LS) algorithm has a worst-case bound of (3m-1)/(m+1) [Y. Cho, S. Sahni, Bounds for list schedules on uniform processors, SIAM J. Comput. 9 (1980) 91-103]. An algorithm with a better competitive ratio was proposed in [R. Li, L. Shi, An on-line algorithm for some uniform processor scheduling, SIAM J. Comput. 27 (1998) 414-422]. It has a worst-case bound of 2.8795 for a big m and s=2. In this note we present a 2.45-competitive algorithm for m≥4 and any s, 1≤ s≤ 2.
Rights: Information Processing Letters © 2006 Elsevier. The journal web site is located at
Type: Journal/Magazine Article
DOI: 10.1016/j.ipl.2006.02.012
ISSN: 0020-0190
Appears in Collections:LMS Journal/Magazine Articles

Files in This Item:
File Description SizeFormat 
on-line_uniform9.pdfPre-published version157.55 kBAdobe PDFView/Open

All items in the PolyU Institutional Repository are protected by copyright, with all rights reserved, unless otherwise indicated. No item in the PolyU IR may be reproduced for commercial or resale purposes.