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DOI: 10.4230/LIPIcs.APPROX-RANDOM.2018.24
URN: urn:nbn:de:0030-drops-94287
URL: http://drops.dagstuhl.de/opus/volltexte/2018/9428/
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Sarpatwar, Kanthi ; Schieber, Baruch ; Shachnai, Hadas

Generalized Assignment of Time-Sensitive Item Groups

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Abstract

We study the generalized assignment problem with time-sensitive item groups (chi-AGAP). It has central applications in advertisement placement on the Internet, and in virtual network embedding in Cloud data centers. We are given a set of items, partitioned into n groups, and a set of T identical bins (or, time-slots). Each group 1 <= j <= n has a time-window chi_j = [r_j, d_j]subseteq [T] in which it can be packed. Each item i in group j has a size s_i>0 and a non-negative utility u_{it} when packed into bin t in chi_j. A bin can accommodate at most one item from each group and the total size of the items in a bin cannot exceed its capacity. The goal is to find a feasible packing of a subset of the items in the bins such that the total utility from groups that are completely packed is maximized. Our main result is an Omega(1)-approximation algorithm for chi-AGAP. Our approximation technique relies on a non-trivial rounding of a configuration LP, which can be adapted to other common scenarios of resource allocation in Cloud data centers.

BibTeX - Entry

@InProceedings{sarpatwar_et_al:LIPIcs:2018:9428,
  author =	{Kanthi Sarpatwar and Baruch Schieber and Hadas Shachnai},
  title =	{{Generalized Assignment of Time-Sensitive Item Groups}},
  booktitle =	{Approximation, Randomization, and Combinatorial  Optimization. Algorithms and Techniques (APPROX/RANDOM 2018)},
  pages =	{24:1--24:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-085-9},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{116},
  editor =	{Eric Blais and Klaus Jansen and Jos{\'e} D. P. Rolim and David Steurer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9428},
  URN =		{urn:nbn:de:0030-drops-94287},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2018.24},
  annote =	{Keywords: Approximation Algorithms, Packing and Covering problems, Generalized Assignment problem}
}

Keywords: Approximation Algorithms, Packing and Covering problems, Generalized Assignment problem
Seminar: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2018)
Issue Date: 2018
Date of publication: 02.08.2018


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