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Main Title: Flows over time with load-dependent transit times
Author(s): Köhler, Ekkehard
Skutella, Martin
Type: Research Paper
Abstract: Flow variation over time is an important feature in network flow problems arising in various applications such as road or air traffic control, production systems, communication networks (e.g., the Internet), and financial flows. Another crucial phenomenon in many of those applications is that the time taken to traverse an edge varies with the current amount of flow on this edge. Since it is already a highly nontrivial problem to map these two aspects into an appropriate and tractable mathematical network flow model, there are hardly any algorithmic techniques known which are capable of providing reasonable solutions even for networks of rather modest size.
Subject(s): approximation algorithms
dynamic flow
flow over time
graph algorithms
network flow
traffic models
Issue Date: 2001
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 90C27 Combinatorial optimization
90B20 Traffic problems
90B10 Network models, deterministic
90C35 Programming involving graphs or networks
90C25 Convex programming
05C38 Paths and cycles
05C85 Graph algorithms
90C59 Approximation methods and heuristics
68W25 Approximation algorithms
68Q25 Analysis of algorithms and problem complexity
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2001, 712
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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