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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Antoniadis, Antonios
Huang, Chien-Chung
Ott, Sebastian
Verschae, José
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Not MPG Author(s):
Antoniadis, Antonios
Huang, Chien-Chung
Verschae, José
Editor(s):
Chatterjee, Krishnendu
Sgall, Jiri
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Not MPII Editor(s):
Chatterjee, Krishnendu
Sgall, Jiri
BibTeX cite key*:
Ott2013
Title, Booktitle
Title*:
How to Pack Your Items When You Have to Buy Your Knapsack
Booktitle*:
Mathematical Foundations of Computer Science 2013 - 38th International Symposium, MFCS 2013
Event, URLs
Conference URL::
http://ist.ac.at/mfcs13/
Downloading URL:
http://www.mpi-inf.mpg.de/~ott/download/MFCS2013_FULL.pdf
Event Address*:
Klosterneuburg, Austria
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
26 August 2013
Event End Date:
30 August 2013
Publisher
Name*:
Springer
URL:
http://www.springer.com
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
8087
Number:
Month:
Pages:
62-73
Year*:
2013
VG Wort Pages:
ISBN/ISSN:
978-3-642-40312-5
Sequence Number:
DOI:
10.1007/978-3-642-40313-2_8
Note, Abstract, ©
(LaTeX) Abstract:
In this paper we consider a generalization of the classical knapsack problem. While in the standard setting a fixed capacity may not be exceeded by the weight of the chosen items, we replace this hard constraint by a weight-dependent cost function. The objective is to maximize the total profit of the chosen items minus the cost induced by their total weight. We study two natural classes of cost functions, namely convex and concave functions. For the concave case, we show that the problem can be solved in polynomial time; for the convex case we present an FPTAS and a 2-approximation algorithm with the running time of $\mathcal{O}(n \log n)$, where $n$ is the number of items. Before, only a 3-approximation algorithm was known.

We note that our problem with a convex cost function is a special case of maximizing a non-monotone, possibly negative submodular function.
Download
Access Level:
Internal

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Audience:
experts only
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{Ott2013,
AUTHOR = {Antoniadis, Antonios and Huang, Chien-Chung and Ott, Sebastian and Verschae, Jos{\'e}},
EDITOR = {Chatterjee, Krishnendu and Sgall, Jiri},
TITLE = {How to Pack Your Items When You Have to Buy Your Knapsack},
BOOKTITLE = {Mathematical Foundations of Computer Science 2013 - 38th International Symposium, MFCS 2013},
PUBLISHER = {Springer},
YEAR = {2013},
VOLUME = {8087},
PAGES = {62--73},
SERIES = {Lecture Notes in Computer Science},
ADDRESS = {Klosterneuburg, Austria},
ISBN = {978-3-642-40312-5},
DOI = {10.1007/978-3-642-40313-2_8},
}


Entry last modified by Sebastian Ott, 02/17/2014
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Editor(s)
[Library]
Created
01/14/2014 04:16:33 PM
Revision
0.



Editor
Sebastian Ott



Edit Date
14.01.2014 16:16:33