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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (79), 2015/

A Parametric Scheme for Online Uniform-Machine Scheduling to Minimize the Makespan

Authors: Alexandre Dolgui, Vladimir Kotov, Alain Quilliot

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 $S_i =s, 1 \leq s \leq 2$ 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).

Alexandre Dolgui
LIMOS, UMR CNRS 6158, Ecole Nationale Superieure
des Mines, 158 cours Fauriel, 42023
SAINT-ETIENNE cedex - FRANCE
E-mail:

Vladimir Kotov
Belarusian State University, 4, Nezalezhnasti Av., 220030,
MINSK - BELARUS
E-mail:

Alain Quilliot
LIMOS, UMR CNRS 6158, ISIMA, Complexe scientifique
des Cezeaux, 63173 AUBIERE cedex - FRANCE
E-mail:



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