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DOI: 10.4230/LIPIcs.APPROX-RANDOM.2015.85
URN: urn:nbn:de:0030-drops-52964
URL: http://drops.dagstuhl.de/opus/volltexte/2015/5296/
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Bansal, Nikhil ; Cloostermans, Bouke

Minimizing Maximum Flow-time on Related Machines

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Abstract

We consider the online problem of minimizing the maximum flow-time on related machines. This is a natural generalization of the extensively studied makespan minimization problem to the setting where jobs arrive over time. Interestingly, natural algorithms such as Greedy or Slow-fit that work for the simpler identical machines case or for makespan minimization on related machines, are not O(1)-competitive. Our main result is a new O(1)-competitive algorithm for the problem. Previously, O(1)-competitive algorithms were known only with resource augmentation, and in fact no O(1) approximation was known even in the offline case.

BibTeX - Entry

@InProceedings{bansal_et_al:LIPIcs:2015:5296,
  author =	{Nikhil Bansal and Bouke Cloostermans},
  title =	{{Minimizing Maximum Flow-time on Related Machines}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2015)},
  pages =	{85--95},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-89-7},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{40},
  editor =	{Naveen Garg and Klaus Jansen and Anup Rao and Jos{\'e} D. P. Rolim},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5296},
  URN =		{urn:nbn:de:0030-drops-52964},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2015.85},
  annote =	{Keywords: Related machines scheduling, Maximum flow-time minimization, On-line algorithm, Approximation algorithm}
}

Keywords: Related machines scheduling, Maximum flow-time minimization, On-line algorithm, Approximation algorithm
Seminar: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2015)
Issue Date: 2015
Date of publication: 28.07.2015


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