License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2014.87
URN: urn:nbn:de:0030-drops-44498
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2014/4449/
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Azar, Yossi ; Englert, Matthias ; Gamzu, Iftah ; Kidron, Eytan

Generalized Reordering Buffer Management

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Abstract

An instance of the generalized reordering buffer management problem consists of a service station that has k servers, each configured with a color, and a buffer of size b. The station needs to serve an online stream of colored items. Whenever an item arrives, it is stored in the buffer. At any point in time, a currently pending item can be served by switching a server to its color. The objective is to serve all items in a way that minimizes the number of servers color switches. This problem generalizes two well-studied online problems: the paging problem, which is the special case when b=1, and the reordering buffer problem, which is the special case when k=1.

In this paper, we develop a randomized online algorithm that obtains a competitive ratio of O(sqrt(b).ln(k)). Note that this result beats the easy deterministic lower bound of k whenever b < k^(2-e).

We complement our randomized approach by presenting a deterministic algorithm that attains a competitive ratio of O(min{k^2.ln(b),k.b}). We further demonstrate that if our deterministic algorithm can employ k/(1-d) servers where d is in (0,1), then it achieves a competitive ratio of O(min{ln(b/d^2),b/d}) against an optimal offline adversary that employs k servers.

BibTeX - Entry

@InProceedings{azar_et_al:LIPIcs:2014:4449,
  author =	{Yossi Azar and Matthias Englert and Iftah Gamzu and Eytan Kidron},
  title =	{{Generalized Reordering Buffer Management}},
  booktitle =	{31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)},
  pages =	{87--98},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-65-1},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{25},
  editor =	{Ernst W. Mayr and Natacha Portier},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2014/4449},
  URN =		{urn:nbn:de:0030-drops-44498},
  doi =		{10.4230/LIPIcs.STACS.2014.87},
  annote =	{Keywords: online algorithms, paging, reordering buffer}
}

Keywords: online algorithms, paging, reordering buffer
Collection: 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)
Issue Date: 2014
Date of publication: 05.03.2014

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