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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, Number 3, Pages 102–109 (Mi basm399)  
This article is cited in 1 scientific paper (total in 1 paper)

Research articles

A parametric scheme for online uniform-machine scheduling to minimize the makespan

Alexandre Dolguia, Vladimir Kotovb, Alain Quilliotc

a LIMOS, UMR CNRS 6158, Ecole Nationale Superieure des Mines, 158 cours Fauriel, 42023, Saint-Etienne cedex, France
b Belarusian State University, 4, Nezalezhnasti Av., 220030, Minsk, Belarus
c LIMOS, UMR CNRS 6158, ISIMA, Complexe scientifique des Cezeaux, 63173 Aubiere, France
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Abstract: In this paper, we consider the Online Uniform Machine Scheduling problem in the case when speed $s_i=1$ for $i=n-k+1,\dots,n$ and $S_i=s$, $1\leq s\leq2$ for $i=1,\dots,k$, where $k$ is a constant, and we propose a parametric scheme with an asymptotic worst-case behavior (when $m$ tends to infinity).
Keywords and phrases: online scheduling, uniform parallel machine, worst-case behavior, parametric scheme.
Funding agency Grant number
Labex IMOBS3
Federación Española de Enfermedades Raras
BRFFI F15MLD-022
This research was supported in part by Labex IMOBS3 and FEDER Funding.
Vladimir Kotov was also supported in part by BRFFI F15MLD-022.
Received: 16.11.2015
Document Type: Article
MSC: 34C05
Language: English
Citation: Alexandre Dolgui, Vladimir Kotov, Alain Quilliot, “A parametric scheme for online uniform-machine scheduling to minimize the makespan”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 3, 102–109
Citation in format AMSBIB
\Bibitem{DolKotQui15}
\by Alexandre~Dolgui, Vladimir~Kotov, Alain~Quilliot
\paper A parametric scheme for online uniform-machine scheduling to minimize the makespan
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2015
\issue 3
\pages 102--109
\mathnet{http://mi.mathnet.ru/basm399}
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    • This publication is cited in the following 1 articles:
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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