Affiliation(s):
College of Basic Science, Zhejiang Shuren University, Hangzhou 310015, China;
moreAffiliation(s): College of Basic Science, Zhejiang Shuren University, Hangzhou 310015, China; School of Management and E-Business, Zhejiang Gongshang University, Hangzhou 310018, China; College of Finance and Trade, Ningbo University of Finance and Economics, Ningbo 315175, China; School of Computer and Data Engineering, NingboTech University, Ningbo 315100, China;
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Hao ZHOU, Liping CAO, Qi WEi, Zhenyu SHU, Yiwei JIANG. An optimal algorithm for preemptive scheduling on non-simultaneously available uniform machines[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.2300767
@article{title="An optimal algorithm for preemptive scheduling on non-simultaneously available uniform machines", author="Hao ZHOU, Liping CAO, Qi WEi, Zhenyu SHU, Yiwei JIANG", journal="Frontiers of Information Technology & Electronic Engineering", year="in press", publisher="Zhejiang University Press & Springer", doi="https://doi.org/10.1631/FITEE.2300767" }
%0 Journal Article %T An optimal algorithm for preemptive scheduling on non-simultaneously available uniform machines %A Hao ZHOU %A Liping CAO %A Qi WEi %A Zhenyu SHU %A Yiwei JIANG %J Frontiers of Information Technology & Electronic Engineering %P %@ 2095-9184 %D in press %I Zhejiang University Press & Springer doi="https://doi.org/10.1631/FITEE.2300767"
TY - JOUR T1 - An optimal algorithm for preemptive scheduling on non-simultaneously available uniform machines A1 - Hao ZHOU A1 - Liping CAO A1 - Qi WEi A1 - Zhenyu SHU A1 - Yiwei JIANG J0 - Frontiers of Information Technology & Electronic Engineering SP - EP - %@ 2095-9184 Y1 - in press PB - Zhejiang University Press & Springer ER - doi="https://doi.org/10.1631/FITEE.2300767"
Abstract: We study preemptive scheduling on m uniform machines with non-simultaneous available times to minimize the makespan. Each machine has a different speed and a different available time. We first provide a lower bound on the optimal makespan of the problem by converting the real machines to virtual machines that guarantee that a machine with an earlier available time has a greater speed at any time. Then, we provide an O(nm+m2)-time algorithm to find an optimal schedule with, at most, 0.5(m2+3m)−2 preemptions.
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