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CLC number: TP393; O223

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.1 P.127-133

http://doi.org/10.1631/jzus.2007.A0127


Online algorithms for scheduling with machine activation cost on two uniform machines


Author(s):  HAN Shu-guang, JIANG Yi-wei, HU Jue-liang

Affiliation(s):  Department of Mathematics, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   jywzju@163.com

Key Words:  Online algorithm, Competitive analysis, Uniform machine scheduling, Machine activation cost


HAN Shu-guang, JIANG Yi-wei, HU Jue-liang. Online algorithms for scheduling with machine activation cost on two uniform machines[J]. Journal of Zhejiang University Science A, 2007, 8(1): 127-133.

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author="HAN Shu-guang, JIANG Yi-wei, HU Jue-liang",
journal="Journal of Zhejiang University Science A",
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publisher="Zhejiang University Press & Springer",
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%DOI 10.1631/jzus.2007.A0127

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T1 - Online algorithms for scheduling with machine activation cost on two uniform machines
A1 - HAN Shu-guang
A1 - JIANG Yi-wei
A1 - HU Jue-liang
J0 - Journal of Zhejiang University Science A
VL - 8
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SP - 127
EP - 133
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A0127


Abstract: 
In this paper we investigate a variant of the scheduling problem on two uniform machines with speeds 1 and s. For this problem, we are given two potential uniform machines to process a sequence of independent jobs. Machines need to be activated before starting to process, and each machine activated incurs a fixed machine activation cost. No machines are initially activated, and when a job is revealed, the algorithm has the option to activate new machines. The objective is to minimize the sum of the makespan and the machine activation cost. We design optimal online algorithms with competitive ratio of (2s+1)/(s+1) for every s≥1.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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