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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Fleischer, Lisa
Skutella, Martin
dblp
dblp
Not MPG Author(s):
Fleischer, Lisa
Editor(s):
BibTeX cite key*:
FleischerSkutella2003
Title, Booktitle
Title*:
Minimum Cost Flows Over Time without Intermediate Storage
Booktitle*:
Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA-03)
Event, URLs
Conference URL::
http://www.siam.org/meetings/da03/
Downloading URL:
Event Address*:
Baltimore, USA
Language:
English
Event Date*
(no longer used):
Organization:
Society of Industrial and Applied Mathematics
Event Start Date:
12 January 2003
Event End Date:
14 January 2003
Publisher
Name*:
ACM
URL:
http://www.siam.org/
Address*:
New York, USA
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
January
Pages:
66-75
Year*:
2003
VG Wort Pages:
24
ISBN/ISSN:
0-89871-538-5
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
Flows over time (also called dynamic flows)
generalize standard network flows by introducing
an element of time. They naturally model problems where
travel and transmission are not instantaneous. Solving these problems
raises issues that do not arise in standard network flows.
One issue is the question of storage of flow at intermediate nodes.
In most applications
(such as, e.g., traffic routing, evacuation planning,
telecommunications etc.), intermediate storage is limited, undesired,
or prohibited.

The minimum cost flow over time problem is NP-hard. In this paper we
1)~prove that the minimum cost flow over time never requires storage;
2)~provide the first approximation scheme for minimum cost flows over
time that does not require storage; 3)~provide the first approximation
scheme for minimum cost flows over time that meets hard cost
constraints, while approximating only makespan.

Our approach is based on a condensed variant of time-expanded
networks. It also yields fast approximation schemes with simple
solutions for the quickest multicommodity flow problem.

Finally, using completely different techniques, we describe a very
simple capacity scaling FPAS for the minimum cost flow over time
problem when costs are proportional to transit times.
The algorithm builds upon our observation about the
structure of optimal solutions to this problem:
they are universally quickest flows. Again, the FPAS
does not use intermediate node storage.
In contrast to the preceding algorithms that use a
time-expanded network, this FPAS runs directly on the original
network.
Download
Access Level:
Intranet

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



BibTeX Entry:

@INPROCEEDINGS{FleischerSkutella2003,
AUTHOR = {Fleischer, Lisa and Skutella, Martin},
TITLE = {Minimum Cost Flows Over Time without Intermediate Storage},
BOOKTITLE = {Proceedings of the 14th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA-03)},
PUBLISHER = {ACM},
YEAR = {2003},
ORGANIZATION = {Society of Industrial and Applied Mathematics},
PAGES = {66--75},
ADDRESS = {Baltimore, USA},
MONTH = {January},
ISBN = {0-89871-538-5},
}


Entry last modified by Christine Kiesel, 08/02/2004
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Editor(s)
Martin Skutella
Created
01/19/2004 01:00:56 PM
Revisions
6.
5.
4.
3.
2.
Editor(s)
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel
Edit Dates
15.06.2004 15:08:40
15.06.2004 15:08:22
14.06.2004 08:35:35
14.06.2004 08:34:49
04.05.2004 16:10:35