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DOI: 10.4230/LIPIcs.APPROX-RANDOM.2014.392

Power of Preemption on Uniform Parallel Machines

Authors: Alan J. Soper and Vitaly A. Strusevich

Published in: LIPIcs, Volume 28, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014)

Abstract

For a scheduling problem on parallel machines, the power of preemption is defined as the ratio of the makespan of an optimal non-preemptive schedule over the makespan of an optimal preemptive schedule. For m uniform parallel machines, we give the necessary and sufficient conditions under which the global bound of 2-1/m is tight. If the makespan of the optimal preemptive schedule is defined by the ratio of the total processing times of r < m longest jobs over the total speed of r fastest machines, we show that the tight bound on the power of preemption is 2-1/min{r,m-r}.

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Alan J. Soper and Vitaly A. Strusevich. Power of Preemption on Uniform Parallel Machines. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 28, pp. 392-402, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@InProceedings{soper_et_al:LIPIcs.APPROX-RANDOM.2014.392,
  author =	{Soper, Alan J. and Strusevich, Vitaly A.},
  title =	{{Power of Preemption on Uniform Parallel Machines}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014)},
  pages =	{392--402},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-74-3},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{28},
  editor =	{Jansen, Klaus and Rolim, Jos\'{e} and Devanur, Nikhil R. and Moore, Cristopher},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX-RANDOM.2014.392},
  URN =		{urn:nbn:de:0030-drops-47116},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2014.392},
  annote =	{Keywords: Machine Scheduling, Uniform Parallel Machines, Power of Preemption}
}

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Power of Preemption on Uniform Parallel Machines

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