Citation

Angelelli, E; Speranza, M. G. and Tuza, Z Semi On-Line Scheduling on Two Uniform Processors. In proceedings of the 3rd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2007), 28 -31 August 2007, Paris, France, pages 51-58, 2007.

Paper


Abstract

In this paper we consider the problem of semi on-line scheduling on two uniform processors, in the case where the total sum of the tasks is known in advance. Tasks arrive one at a time and have to be assigned to one of the two processors before the next one arrives. The assignment cannot be changed later. The objective is the minimization of the makespan. We derive lower bounds and algorithms, depending on the value of the speed s of the fast processor (the speed of the slow processor is normalized to 1). The algorithms presented for s >= SQRT(3), are optiomal, as well as fro s=1 and for (1+SQRT(17))/4 <= s <= (1+SQRT(3))/2.


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Bibtex

@INPROCEEDINGS{2007-051-058-P, author = {E. Angelelli and M. Grazia Speranza and Z. Tuza},
title = {Semi On-Line Scheduling on Two Uniform Processors},
booktitle = {In proceedings of the 3rd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2007), 28 -31 August 2007, Paris, France},
year = {2007},
editor = {P. Baptiste and G. Kendall and A. Munier-Kordon and F. Sourd},
pages = {51--58},
note = {Paper},
abstract = {In this paper we consider the problem of semi on-line scheduling on two uniform processors, in the case where the total sum of the tasks is known in advance. Tasks arrive one at a time and have to be assigned to one of the two processors before the next one arrives. The assignment cannot be changed later. The objective is the minimization of the makespan. We derive lower bounds and algorithms, depending on the value of the speed s of the fast processor (the speed of the slow processor is normalized to 1). The algorithms presented for s >= SQRT(3), are optiomal, as well as fro s=1 and for (1+SQRT(17))/4 <= s <= (1+SQRT(3))/2.},
owner = {Faizah Hamdan},
timestamp = {2012.05.21},
webpdf = {2007-051-058-P.pdf} }