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Author, Editor
Author(s):
Baumann, Nadine
Köhler, Ekkehard
dblp
dblp
Not MPG Author(s):
Köhler, Ekkehard
Editor(s):
Fiala, Jiri
Koubek, Vaclav
Kratochvil, Jan
dblp
dblp
dblp
Not MPII Editor(s):
Fiala, Jiri
Koubek, Vaclav
Kratochvil, Jan
BibTeX cite key*:
Baumann2004
Title, Booktitle
Title*:
Approximating Earliest Arrival Flows with Flow-Dependent Transit Times
Booktitle*:
Mathematical foundations of computer science 2004 : 29th International Symposium, MFCS 2004
Event, URLs
URL of the conference:
http://mfcs.mff.cuni.cz/
URL for downloading the paper:
Event Address*:
Prague, Czech Republic
Language:
English
Event Date*
(no longer used):
Organization:
Mathematical Foundations of Computer Science (MFCS)
Event Start Date:
22 August 2004
Event End Date:
27 August 2004
Publisher
Name*:
Springer
URL:
http://www.springer-sbm.com/
Address*:
Berlin, Germany
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
3153
Number:
Month:
August
Pages:
599-610
Year*:
2004
VG Wort Pages:
11
ISBN/ISSN:
3-540-22823-3
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
For the earliest arrival flow problem one is given a network $G=(V,
A)$ with capacities $u(a)$ and transit times $\tau(a)$ on its arcs $a
\in A$, together with a source and a sink vertex $s, t \in V$. The
objective is to send flow from $s$ to $t$ that moves through the
network over time, such that for each point in time $\theta \in
[0,T)$ the maximum possible amount of flow reaches $t$. If, for
each $\theta \in [0,T)$ this flow is a maximum flow for time horizon
$\theta$, then it is called \emph{earliest arrival flow}. In
practical applications a higher congestion of an arc in the network
often implies a considerable increase in transit time. Therefore,
in this paper we study the earliest arrival problem for the case
that the transit time of each arc in the network at each time
$\theta$ depends on the flow on this particular arc at that time
$\theta$.
For constant transit times it has been shown by Gale that earliest
arrival flows exist for any network. We give examples, showing that
this is no longer true for flow-dependent transit times. For that
reason we define an optimization version of this problem where the
objective is to find flows that are almost earliest arrival flows.
In particular, we are interested in flows that, for each $\theta \in
[0,T)$, need only $\alpha$-times longer to send the maximum flow to
the sink. We give both constant lower and upper bounds on $\alpha$;
furthermore, we present a constant factor approximation algorithm
for this problem. Finally, we give some computational results to
show the practicability of the designed approximation algorithm.
Keywords:
approximation algorithms, dynamic network flows
Download
Access Level:
Public
Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort
BibTeX Entry:
@INPROCEEDINGS
{
Baumann2004
,
AUTHOR = {Baumann, Nadine and K{\"o}hler, Ekkehard},
EDITOR = {Fiala, Jiri and Koubek, Vaclav and Kratochvil, Jan},
TITLE = {Approximating Earliest Arrival Flows with Flow-Dependent Transit Times},
BOOKTITLE = {Mathematical foundations of computer science 2004 : 29th International Symposium, MFCS 2004},
PUBLISHER = {Springer},
YEAR = {2004},
ORGANIZATION = {Mathematical Foundations of Computer Science (MFCS)},
VOLUME = {3153},
PAGES = {599--610},
SERIES = {Lecture Notes in Computer Science},
ADDRESS = {Prague, Czech Republic},
MONTH = {August},
ISBN = {3-540-22823-3},
}
Entry last modified by Uwe Brahm, 01/20/2009
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Editor(s)
Nadine Baumann
Created
03/08/2005 01:37:52 PM
Revisions
3.
2.
1.
0.
Editor(s)
Uwe Brahm
Christine Kiesel
Christine Kiesel
Nadine Baumann
Edit Dates
01/20/2009 07:10:55 PM
26.04.2005 00:09:58
26.04.2005 00:09:12
03/08/2005 01:37:52 PM
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